Question

PLZ HELP ME ASAP The box plot shows the typing speed (in words per minute without errors) of the contestants in a typing contest.

The interquartile range of team A is
A.3
B.4
C.8
D.9
And the interquartile range of team B is
A.4
B.5
C.8
D.9
The difference of the medians of team A and team B is
A.4
B.7
C.8
D.9
This value is equal to about
A.half
B.1 times
C.2 times
the interquartile range of either data set.

Answer 1

1. 95-87 = 8 /2 = 4

2. 91 - 82 = 9 /2 = 4.5 =5

3. 91 - 87 = 4

4. B 1 times

Answer 2

1. Option C is correct.

2. Option D is correct.

3. Option A is correct.

4. Option A is correct.

Explanation:

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

From the given box plot we can conclude that

For Team A:

`Minimum = 80,Q_1=87, median=91, Q_3=95,Maximum=110`

For Team B:

`Minimum = 79,Q_1=82, median=87, Q_3=91,Maximum=103`

Formula for interquartile range.

`IQR=Q_3-Q_1`

1.

IQR of Team A.

`IQR_(A)=95-87=8`

Option C is correct.

2.

IQR of Team B.

`IQR_(B)=91-82=9`

Option D is correct.

3.

Difference of the medians of team A and team B is

`91-87=4`

Option A is correct.

4.

We know that 4 is about half of 8 and 9.

It means 4 is about half the interquartile range of either data set.

Option A is correct.