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