Comparing Means 7th Grade
Students in 7th grade took a standardized math test
that they also had taken in 5th grade. The results are
shown on the dot plot, with the most recent data shown
first.
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score
Find and compare the means to the nearest tenth.
7th-grade mean:
5th Grade
5th-grade mean:
What is the relationship between the means?
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score

Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.

The mean is the average of the data set, that is the sum of each data value divided by the number of data points.

The dot plots for 7th and 5th grade is attached below.

Mean for 7th Grade Students:

Mean = [10 + 11 + (2 × 12) + 13 + 14 + (2 × 15) + (3 × 16) + (3 × 17) + (2 × 18) + (2 × 19) + (3 × 20)]/21

Mean = 335/21

Mean = 15.95 = 16

Mean for 5th Grade Students:

Mean = [8 + (2 × 9) + (2 × 10) + (2 × 11) + (2 × 12) + (2 × 13) + 14 + (3 × 15) + (2 × 16) + 17 (2 × 18) + 19

Mean = 281/21

Mean = 13.38 = 13.4

Difference between their means = 16 - 13.4 = 2.6.

In summary:

Mean for 7th Grade Students is: 16

Mean for 5th Grade Students is: 13.4

Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.

Learn more about the mean of data on:

link

THE RIGHT ANSWER:

16, 13.4, the 7th grade mean is about 2.5 points higher.

Step-by-step explanation:

one set of data has more variation than the other. hope this !