Question

The table below shows the number of hours some business people in two states spend in meetings each week:




State A
21 23 24 22 24 25 23 23 22


State B
24 22 20 23 23 50 20 46 21


Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points)

Answer 1

It will not let me view any of that..

Answer 2

Control-Click the links above

Answer 3

I

Answer 4

It still isn't showing

Answer 5

*

Answer 6

I still dont understand

Answer 7

Maybe this will help clarify.

The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles.

Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively.

Q1 is the "middle" value in the first half of the rank-ordered data set.
Q2 is the median value in the set.
Q3 is the "middle" value in the second half of the rank-ordered data set.
The interquartile range is equal to Q3 minus Q1.

Your data for State A in rank order:

21
22
22 Q1
23
23 Q2
23
24 Q3
24
25

So IQR is 24-22=2

5-number Summary
Min = 20
Q1 = 21
Q2 = 23
Q3 = 24
Max = 50

Box Plot IS Symmetric:



For State B:

20
20
21 Q1
22
23 Q2
23
24 Q3
46
50

IQR = Q3-Q1=3

5-number Summary
Min = 20
Q1 = 21
Q2 = 23
Q3 = 24
Max =50

Box Plot is NOT symmetric:


Does this make sense?