6.4 ANSWERS mean, median and mode

Answers exercises

Given are the lucky numbers of class 2.

4, 32, 5, 8, 18, 90, 91, 87, 23, 34, 54, 45, 8, 10, 19, 20, 34, 69, 14, 69, 14, 69, 2, 4, 69

a) Calculate the mean, round to an integer and show your intermediate steps.

(4 + 32 + 5 + 8 + 18 + 90 + 91 + 87 + 23 + 34 + 54 + 45 + 8 + 10 + 19 + 20 + 34 + 69 + 14 + 69 + 14 + 69 + 2 + 4 + 69) / 25 =

892/25 = 35.68 = 36

So the mean is 36

b) Calculate the median, show your intermediate steps.

2, 4, 4, 5, 8, 8, 10, 14, 14, 18, 19, 20, 23, 32, 34, 34, 45, 54, 69, 69, 69, 69, 87, 90, 91

So, the median is 23

c) Calculate the mode, show your intermediate steps.

69 occurs the most.

So, the mode is 69

Given are the shoe sizes of class 2.

37, 38, 38, 39, 41, 36, 43, 41, 39, 38, 40, 41, 45, 44, 38, 37, 39, 39, 40, 42, 42, 39

a) Calculate the mean, round to an integer and show your intermediate steps.

(37 + 38 + 38 + 39 + 41 + 36 + 43 + 41 + 39 + 38 + 40 + 41 + 45 + 44 + 38 + 37 + 39 + 39 + 40 + 42 + 42 +39)/22=

876/22 = 39.8 = 40

So the mean of the shoe sizes of class 2 is 40.

b) Calculate the median, show your intermediate steps.

36, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 42, 42, 43, 44, 45

(39 + 39)/2 = 39

So, the median is 39

c) Calculate the mode, show your intermediate steps.

38 occurs the most.

So, the mode is 38