Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.

Television Viewing Hours for a One-Week Period

Sorry im asking a lot i forgot to study! Which statement correctly compares the measures of center in the two sets of data?

Both the mean and median are greater for Plot A than for Plot B.

Both the mean and median are greater for Plot B than for Plot A.

Plot A has a greater median than Plot B, but Plot B has a greater mean.

Plot B has a greater median than Plot A, but Plot A has a greater mean.

A. Both the mean and median are greater for Plot A than for Plot B.

Correct statement, question and plots:

Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.  

Television Viewing Hours for a One-Week Period  

Which statement correctly compares the measures of center in the two sets of data?

A. Both the mean and median are greater for Plot A than for Plot B.

B. Both the mean and median are greater for Plot B than for Plot A.

C. Plot A has a greater median than Plot B, but Plot B has a greater mean.

D. Plot B has a greater median than Plot A, but Plot A has a greater mean.

Plots are available below

Source:

Previous question that can be found at

Step-by-step explanation:

As we can see, the number of hours in plot A goes from 3 to 10 with a gap in 8 and 9, while in plot B, goes from 3 to 7, with no gaps.

Let's calculate the mean and media for both plots:

Plot A:

Mean = (3 + 2 * 4 + 2 * 5 + 2 * 6 + 2 * 7 + 10)/10

Mean = 57/10 = 5.7

Median = 5 + 6/2 = 11/2 = 5.5

Plot B:

Mean = (3 + 2 * 4 + 3 * 5 + 3 * 6 + 7)/10

Mean = 51/10 = 5.1

Median = 5 + 5/2 = 10/2 = 5

Mean comparison: 5.7 > 5.1

Median comparison: 5.5 > 5

In consequence, the correct answer is A. Both the mean and median are greater for Plot A than for Plot B.

c

step-by-step explanation: