Question

7. Make a box-and-whisker plot for the data. What is the upper quartile value?

56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answer 1

In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.

42 43 47 48 51 52 56 56 58 60 62 64 65 66

Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64

+ 65 + 66) ÷ 14

Mean of the data = 770 ÷ 14

Mean of the data = 55

Median = (56 + 56) ÷ 2

Median = 112 ÷ 2

Median = 56

Lowest value = 42

Highest value = 66

Range = Highest value - Highest value

Range = 66 - 42

Range = 24

Lower Quartile = 25% of the data

Lower Quartile = 48

Upper Quartile = 75% of the data

Upper Quartile = 62