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ryzh [129]
4 years ago
12

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.

Mathematics
2 answers:
stepan [7]4 years ago
8 0

Answer:

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

Step-by-step explanation:

Plot A data set is : 4,4,5,5,6,6,7,7,10

mean(Plot A) = 5.7

median(Plot A) = 5.5

Plot B data set is : 4,4,5,5,5,6,6,6,7

mean(Plot B) = 5.1

median(Plot B) = 5

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

STALIN [3.7K]4 years ago
6 0

Answer:

<u>A. Both the mean and median are greater for Plot A than for Plot B.</u>

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 brainly

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

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

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