Mean and Standard Deviation of a Probability Distribution Statistics Random Variables Mean and Standard Deviation of a Probability Distribution Questions How do you calculate the standard deviation of a bounded probability distribution function? If the price of gasoline follows a normal distribution, has a mean of $2.30 per gallon, and a standard deviation of $0.10 per gallon. What percentage of gasoline is sold between $2.20 and $2.40 per gallon? Can a data set with two or three numbers have a standard deviation? Is the standard deviation of a data set invariant to translation? How can you use the standard deviation to calculate variance? What is Chebyshev's inequality? What is the standard deviation of just one number? What is the formula for the standard error? What is the standard error of: {50.6, 59.8, 50.9, 51.3, 51.5, 51.6, 51.8, 52.0}? If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is the probability of a random person scoring over 110? What is the standard deviation of {44, 46, 33, 10, 50, 27}? What is the standard deviation of {11, 23, 3, 1, 500, 27, 18, 14, 2}? What is the standard deviation of {1, 3, 3, 11, 50, 270, 180, 140, 1, 8, 90}? What is the standard deviation of {12, 13, 31, 11, 5, 20, 10, 140, 1, 8, 9}? What is the standard deviation of {1, 1, 1, 3, 3, 3}? What are the standard deviations of {1, 2, 3, 4, 5, 6, 7} and {10, 20, 30, 40, 50, 60, 70}? Can you determine a standard deviation from just two or three numbers? What is the standard deviation of {2, 5, 9, 1, 1, 1, 3, 2, 7}? What is the standard deviation of {4, 6, 3, 7, 1, 3, 7, 8, 3, 6, 2, 5}? What is the standard deviation of {6, 2, 5, 5, 7, 3, 4, 8, 1, 2, 2}? What is the standard deviation of {4, 5, 8, 3, 6, 2, 1, 5, 9, 5, 4, 2}? What is the standard deviation of is #sigma(X)=2sigma(Y)#, what is #sigma(X+Y)#? What is the standard deviation of is #sigma(X)=(sigma(Y))/2#, what is #sigma(X-Y)#? What is the range, mean, variance, and standard deviation of {2,3,3,5,1,5,4,4,2,6}? What is the standard deviations of {1,3,5,5,7,9,10,11,13,15,15,17,17,17}? A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. How many standard deviations from the mean is a score of 84? Brock scored the following number of goals in her soccer games: 2, 3, 1, 0, 3, 2,1, 2. What is the mean of the data? What are the mean and standard deviation of a binomial probability distribution with n=200 and p=0.3? What are the mean and standard deviation of a binomial probability distribution with n=20 and p=0.9? What are the mean and standard deviation of a binomial probability distribution with n=13 and p=0.1? What are the mean and standard deviation of a binomial probability distribution with #n=15 # and #p=3/7 #? What are the mean and standard deviation of a binomial probability distribution with #n=114 # and #p=3/49 #? What are the mean and standard deviation of a binomial probability distribution with #n=13 # and #p=5/24 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=5/21 #? What are the mean and standard deviation of a binomial probability distribution with #n=11 # and #p=7/30 #? What are the mean and standard deviation of a binomial probability distribution with #n=23 # and #p=7/23 #? What are the mean and standard deviation of a binomial probability distribution with #n=8 # and #p=7/29 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=7/60 #? What are the mean and standard deviation of a binomial probability distribution with #n=100 # and #p=1/10 #? What are the mean and standard deviation of a binomial probability distribution with #n=100 # and #p=8/10 #? What are the mean and standard deviation of a binomial probability distribution with #n=10 # and #p=4/5 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=3/5 #? What are the mean and standard deviation of a binomial probability distribution with #n=120 # and #p=3/4 #? What are the mean and standard deviation of a binomial probability distribution with #n=130 # and #p=3/4 #? What are the mean and standard deviation of a binomial probability distribution with #n=130 # and #p=7/9 #? What are the mean and standard deviation of a binomial probability distribution with #n=150 # and #p=7/9 #? What are the mean and standard deviation of a binomial probability distribution with #n=190 # and #p=7/11 #? What are the mean and standard deviation of a binomial probability distribution with #n=145 # and #p=7/11 #? What are the mean and standard deviation of a binomial probability distribution with #n=144 # and #p=11/13 #? What are the mean and standard deviation of a binomial probability distribution with #n=169 # and #p=1/13 #? What are the mean and standard deviation of a binomial probability distribution with #n=7 # and #p=19/21 #? What are the mean and standard deviation of a binomial probability distribution with #n=777 # and #p=19/21 #? What are the mean and standard deviation of a binomial probability distribution with #n=210 # and #p=12/21 #? What are the mean and standard deviation of a binomial probability distribution with #n=21 # and #p=4/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=2 # and #p=4/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=15 # and #p=7/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=5 # and #p=10/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=25 # and #p=10/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=25 # and #p=11/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=69 # and #p=5/23 #? What are the mean and standard deviation of a binomial probability distribution with #n=460 # and #p=16/23 #? What are the mean and standard deviation of a binomial probability distribution with #n=11 # and #p=19/23 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=15/23 #? What are the mean and standard deviation of a binomial probability distribution with #n=112 # and #p=15/37 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=5/37 #? What are the mean and standard deviation of a binomial probability distribution with #n=87 # and #p=5/37 #? What are the mean and standard deviation of a binomial probability distribution with #n=94 # and #p=32/37 #? What are the mean and standard deviation of a binomial probability distribution with #n=5 # and #p=4/7 #? What are the mean and standard deviation of a binomial probability distribution with #n=5 # and #p=12/17 #? What are the mean and standard deviation of a binomial probability distribution with #n=8 # and #p=12/19 #? What are the mean and standard deviation of a binomial probability distribution with #n=16 # and #p=12/47 #? What are the mean and standard deviation of a binomial probability distribution with #n=4 # and #p=15/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=9 # and #p=11/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=31/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=16 # and #p=21/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=17 # and #p=21/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=17 # and #p=18/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=88 # and #p=24/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=18 # and #p=2/32 #? What are the mean and standard deviation of a binomial probability distribution with #n=5 # and #p=1/32 #? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (3^ke^-3)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (12^ke^-12)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (80^ke^-80)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (14^ke^-14)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (4^ke^-4)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (10^ke^-10)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (9^ke^-9)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (18^ke^-18)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (24^ke^-24)/(k!) # for #k in {0,1,2... oo}#? What are the mean and standard deviation of the probability density function given by #p(x)=k/x # for # x in [3,8]#, with k being a constant such that the cumulative density is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=kabs(x-9) # for # x in [0,18]#, with k being a constant such that the cumulative density is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=k(x-x^2) # for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across all x is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=ke^-x # for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across all x is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=k(1-xe^(x) )# for # x in [0,3]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=k-x+xe^(-x^2) # for # x in [0,4]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-49x# for # x in [0,7]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-4x# for # x in [0,2]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=(1-1/(1-x))# for # x in [2,10]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=x/(1-x^2# for # x in [2,4]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=sinx# for # x in [0,pi]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=tankx^2# for # x in [pi/8,(5pi)/12]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #p(x)=x^4-x^3+1# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^n-x^(n-1)# for # x in [0,1]#, in terms of k and n, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^8-x^16# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=ln(x^3+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? What are the mean and standard deviation of the probability density function given by #(p(x))/k=3x+1-e^(3x+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1? Inside a bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles. What is the probability of drawing a green Skittle, replacing it, and then drawing another green Skittle? When calculating to find the mean and standard deviation of these two sets of numbers: (a)4 0 1 4 3 6 (b)5 3 1 3 4 2 Which data set is more spread out? What is the mean of 24, 36, 48 and 60? Question #c1800 Question #3a3e9 Find the median from following data? How to find mode of the following frequency distribution? Find the mode from the following data? Question #1b522 What is the mean, median, and mode of the numbers 3.2, 3.5, 3.2, 3.8, 7.2, 4.2? What is the average of 14, 29 and 142? Suppose we represent time endowment (24 hours/day) by H, hours of paid work by L, wage rate per hour, by W, and leisure by ℓ, How to write an expression for the following ? Question #ef40b Miranda earned scores of 84, 91, 95, 78, and 92 on her math tests. How do you find her average (mean) score? How do you find the mean of the following set of numbers: 12, 14, 16, 12, 13? Darryl just received his credit scores from the three major credit bureaus. His Experian score is 719, his Equifax score is 741 and his TransUnion score is 780 what is his mean credit score? Fitness Mia's workouts lasted 1.0 h, 1.5 h, 2.25 h, 1.5 h, 2.4 h, and 2.1 h. How do you find the mean, median, and mode of these times? A die is rolled 10 times and the number of twos that come up is tallied. If this experiment is repeated find the standard deviation for number of two? Given 90, 87, 81, 100, 74, 80 what is the mean of the scores? How do you find the standard deviation of 3, 7, 4, 6, and 5? A student received grades of 99, 81, 86, and 81 on math quizzes. How do you find the student's average? You keep track of the time you spend doing homework each evening. You spend 58 minutes, 36 minutes, 44 minutes, and 37 minutes. How do you find the mean of these times? Assume a binomial probability distribution with #n = 40# and #p = 0.55#. What is the standard deviation? For a population with a standard deviation of σ = 10, a score of X = 44 corresponds to z = –0.50. What is the population mean? A population has a mean of μ = 100 and a standard deviation of σ = 10. If a single score is randomly selected from this population, how much distance, on average, should you find between the score and the population mean? If a random sample of size 11 is drawn from a population distribution with standard deviation σ = 10 then what will be the variance of the sampling distribution of the sample mean? What is standard deviation? Why is it called that? What is standard deviation a measure of? The mean annual cost of car insurance is $939. The standard deviation is $300. What is the standard deviation of x-bar? A normal distribution has a mean of 140 and a standard deviation of 40. How do you calculate the percentile rank of a score of 172? How do you calculate the standard deviation of 3.4, 6.1, 7.3, 4.5, 2.3, 4.4, 9.4, 3.4, 2.3, 7.2? How do you find the mean absolute deviation for the numbers 69, 78, 80, 88, 88, 88, 88, 101, 102, and 108? What is the average of 75 and 105? How can you use a scientific calculator to calculate standard deviation? What is the formula for standard deviation of grouped data? What is the formula to calculate the standard deviation of a sample? A test consists of 910 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers? Alfred missed a class test. For the test that Alfred missed, the class mean was 18 and the standard deviation was 4. If his teacher is going to give Alfred a mark based on his standard score, what mark should Alfred receive? What does a high/low standard deviation mean in real terms? What is the standard deviation of the following data: 6.27, 4.52, 5.78? What does a small standard deviation signify? What does a large standard deviation signify? What is the standard deviation of the following numbers: 24, 36, 33, 21, 15, 11? How do you find the standard deviation of a set of numbers? How does standard deviation related to the general concept of risk? The energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. How do you find the probability that the energy consumption level is between 1100 kWh and 1221 kWh? What is the effect on the mean, median, mode, IQR, and range of each data value is increased by 3? Why are there 2 formulas for standard deviation? If #X# is #"Normal"(μ = 81.2, σ = 12.4),# what is the 16th percentile of this distribution? What is the standard deviation of 1, 2, 3, 4, and 5? If the sample size increases, what will happen to the standard deviation? Body temperatures of adults are normally distributed with a mean of 98.6°F and a standard deviation of 0.6°F. If 30 adults are randomly selected, what is the probability that their mean body temperature is less than 98.9°F? The mean temperature of humans is known to be 36.8°C. The standard deviation of human temperatures is 0.4°C. How do you find the probability that the mean temperature of a sample of 131 people will be greater than 36.9°C? What happens to the sample standard deviation when the sample size is increased? The numbers of television licenses brought at a particular post office on a sample of 5 randomly chosen weekdays were 15, 9, 23, 12, and 17. How do you find the mean and the standard deviation? How do you calculate the sample range, sample mean, sample median, sample variance, and sample standard deviation of 18, 19, 34, 38, 24, 18, 22, 51, 44, 14, 29? A sample of 25 observations has a standard deviation of 4. The sum of the squared deviations from the sample mean is 384. Why is it 384? On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the z-score for a person who scores 340? On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the z-score for a person who scores 310? On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the z-score for a person who scores 260? On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the raw score for people whose z scores on this test are -4.5? How do I find the corresponding x-scores for a z-score of 1.50, if it has a mean of 7 and a standard deviation of 10? How do I find the corresponding x-scores for a z-score of .40, if it has a mean of 7 and a standard deviation of 10? The probabilities that a batch of 4 computers will contain 0, 1, 2, 3 and 4 defective computers are 0.4521, 0.3970, 0.1307, 0.0191 and 0.0010, respectively. What is the standard deviation for the probability distribution? On a multiple choice test with 19 questions, each question has four possible answers, one of which is correct. For students who guess at all answers how do you find the mean for the number of correct answers? A normal distribution has a mean of 140 and a standard deviation of 40. How do you calculate a percentile rank of a score of 172? How do you find the mean of the following probability distribution? What is need the mean of 18, 24, 67, 53, 36, 64, 124, 91, 101, 106, 102, 127? What are 2 standard deviations above and below the mean? For a bell curve with mean 7 and standard deviation 3, how much area is under the curve, above the horizontal? For a bell curve with mean 7 and standard deviation 3, how much area is under the curve, above the horizontal axis, and between x = 2.5 and x = 11.5? For mean 6 and standard deviation 2, how much area is under the bell curve, above the horizontal axis, and between x = 0 and x = 12? For mean 25 and standard deviation 3, how much area is under the bell shaped curve within 2 standard deviations of the mean? How do you make a bell curve using Excel? How do you find the range, variance, and standard deviation for 1, 2, 3, 4, 5, 6, 7? What is the standard deviation of 1, 2, 3, 4, and 5? A distribution has a mean of 10400.93 and a standard deviation of 5112.49. What is one standard deviation above the mean? A distribution has a mean of 10400.93 and a standard deviation of 5112.49. What is one standard deviation below the mean? The lengths of a certain species of fish were found to be normally distributed. The mean length is 93 cm with a standard deviation of 12 cm. In a school of 360 of these fish, about how many would be longer than 81 cm? What is the standard deviation of 1, 2, 3, 4, and 5? How do you find the standard deviation for the population 9, 4, 6, 5, 4, 5, 5, 10? What is the standard deviation of 1, 2, 3, 4, and 5? Given data points are #28, 30, 29, 26, 31# and #30#, find standard deviation step by step? Question #21fea How do you find the mean absolute deviation of the data set 35, 40, 38, 32, 42, and 41? A normally distributed data set has a mean of 53 and a standard deviation of 2.5. What Z-score corresponds to a data value of 47? If the range of a data set is 24. Find the approx value of the standard deviation, using the range rule of thumb? Which has a better relative position: a score of 75 on stats test with a mean of 60 and a standard deviation of 10 or a score of 36 on an accounting test with a mean of 30 and a variance of 16? The mean a person gets to work is 29.7 minutes. If the standard deviation is 6 minutes, within what limits would you expect approx 68% of the times to fall? Assume the distribution is approx bell shaped. The standard deviation of a normal random variable #X# is $20. Given that #P(X <= $10) = .1841#, what can we determine that the mean of the distribution is equal to? A population has a mean of 24.8 and a standard deviation of 4.2. If #x_i =19#, what is the #z#-value? How do you find the standard deviation of 5.6, 5.2, 4.6, 4.9, 5.7, 6.4? Question #15d0d The heights of a certain group of adult parrots were found to be normally distributed. The mean height is 36 cm with a standard deviation of 7 cm. In a group of 1200 of these birds, how many would be more than 29 cm tall? How do you find the standard deviation for the numbers 4, 4, 5, 5, 6, 6? The scores on a college entrance exam is 100 with a standard deviation of 7.5. How do you find the probability that a randomly selected score is between 85 and 100? How do you find the mean and standard deviation of the data set 82, 44, 67, 52, 120? Which samples result in a sample mean that overestimates the population mean...? What is the value of #x# if #100, 120, 103, 133, 109, x# have a mean of #110#? Random Variables View all chapters Probability Distribution Mean and Standard Deviation of a Probability Distribution Law of Large Numbers Addition Rules for Variances Prev Next