Question

The following table shows the number of hours some students in two neighborhoods spend walking to school each week:

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

Answer 1

Explanation:

Firstly, order the two data set from smallest to largest as shown in diagram below

The value of median, Q2 is the 5th value of both set

The value of Q1 and Q3 is the first and third quarter of the set

The range of data set one is 5-2=3 and of set two is 12-1=11

The interquartile range of set one is 5 - 2 = 3

The interquartile range of set two is 5 - 1.5 = 3.5

The box plot is not symmetrical for either data set

Answer 2

A.For the first box the the summary is 2,2,4,5,5 and the range is 3.
For the 2 one it is 1,1.5,3,5,12 and the range is 3.5

B. No because 4-2=2 but 5-4=1.And for the other one it is no because 3-1.5=1.5 and 5-3=2