Question

Mark’s scores on his first nine assignments are: 10,10,9,9,10,8,9,10,and 8. What are the mean, median, mode, and range of his scores?

Answer 1

Mean `=9.22`
Median `=9`
Mode `=10`
Range`=2`

Explanation:

mean (average)
x tally mark frequency
10 |||| 4
9 ||| 3
8 || 2

Total f x `= (10 xx 4)+(9 xx 3)+(8 xx 2)`

`= 40+27+16 = 83`

Total frequency `= 4+3+2`

`= 9`

`bar x= (83)/ 9`

`= 9.22`
Given -
`10,10,9,9,10,8,9,10,and 8`

Arrange them in the ascending order
`8, 8, 9, 9, 9, 10, 10, 10, 10`

median `= ((n+1)/ 2)`th item

`= (9+1)/2=5`th item

`=9`

Mode = that item which occurs more umber of times

mode `= 10`

Range = Largest Value - Smallest Value
range `= (10-8)`

Range = 2