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?

Question

4745 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-20T15:57:12

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

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