Question

Students in 7th grade took a standardized math test that they also took in 5th grade. The results are shown on the dot plot, with the most recent data shown first.
Find and compare the medians.

7th-grade median:

5th-grade median:

What is the relationship between the medians?

Answer 1

Answer:

7th-grade mean:

✔ 16

5th-grade mean:

✔ 13.4

What is the relationship between the means?

✔ The 7th-grade mean is about 2.5  points higher.

Step-by-step explanation:

Answer 2

Using the median concept, it is found that:

• The 5th-grade median is of 13.

• The 7th-grade median is of 17.

• The relationship is that 7th grade students have a higher median than 5th grade students.

What is the median of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

Researching the problem on the internet, we have that there are 21 5th grade students. It is an odd number, hence the median is the 11th element, as (21 + 1)/2 = 11. Looking at the dot plot, the median is of 13.

There are 23 5th grade students. It is an odd number, hence the median is the 12th element, as (23 + 1)/2 = 12. Looking at the dot plot, the median is of 17.

The relationship is that 7th grade students have a higher median than 5th grade students.

More can be learned about the median of a data-set at brainly.com/question/17110151

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