consider the following dot plots.

which statement is true about the dot plots?

the means are the same value.

both dot plots show the same range.

the medians for both dot plots are 15 e-mails.

the modes are the same value.

To see which option is correct let's test each one.

[ The means are the same value. ]

To find the mean of a data set you add all the numbers then divide by the amount of numbers there are.

Project A:

5 + 5 + 10 + 10 + 10 + 15 + 15 + 15 + 20 + 25 = 130

There are 10 numbers on this dot plot.

130 / 10 = 13

Thus, the mean for Project A is 13.

Project B:

5 + 5 + 5 + 10 + 10 + 15 + 15 + 15 + 20 + 25 = 125

There are 10 numbers on this dot plot.

125 / 10 = 12.5

Thus, the mean for Project B is 12.5.

The mean's are different so this option is incorrect.

[ Both dot plots show the same range. ]

To find the range of a data set you subtract the highest number to the lowest number that was plotted on the plot.

Project A:

The lowest number that was plotted was 5 and the highest number that was plotted was 25.

25 - 5 = 20

Thus, the range of Project A is 20.

Project B:

The lowest number that was plotted was 5 and highest number that was plotted was 25.

25 - 5 = 20

Thus, the range of Project B is 20.

The range's are the same so this option is correct.

[ The medians for both dot plots are 15 e-mails. ]

To find the median of a data set you find the middle number of the data set.

Project A:

5, 5, 10, 10, 10, 15, 15, 15, 20, 25

Since there isn't a perfect middle number in this data set we need to find the middle of the two middle numbers. (10 and 15)

Thus, the median for Project A is 12.5.

Project B:

5, 5, 5, 10, 10, 15, 15, 15, 20, 25

Since there isn't a perfect middle number in this data set we need to find the middle of the two middle numbers. (10 and 15)

Thus, the median for Project A is 12.5.

Note that the answer choice says the median for both projects is "15". So, this option is incorrect.

[ The modes are the same value. ]

To find the mode of a data set you find the number that occurs the most in the data set.

Project A:

5, 5, 10, 10, 10, 15, 15, 15, 20, 25

10 and 15 occur 3 times in the data set which is the most.

Thus, the mode for Project A is 10 and 15.

Project B:

5, 5, 5, 10, 10, 15, 15, 15, 20, 25

5 and 15 occur 3 times in the data set which is the most.

Thus, the mode for Project B is 5 and 15.

The modes are different so this option is incorrect.

After testing each answer choice, the correct answer is [Both dot plots show the same range.]

Best of Luck!

step-by-step explanation:

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