Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper bags. Each group records the number of cubes of each color in a bag. The number of red cubes for the 10 groups are recorded in the graph.

Which statement is true about the mean and median of the numbers of red cubes in the bags?

A) The mean number of red cubes is less than the median number of red cubes.

B) The mean number of red cubes is more than the median number of red cubes.

C) The mean number of red cubes is equal to the median number of red cubes.

D) The mean number of red cubes cannot be compared to the median number of red cubes.

2. The row contains 10 elements, so if you want to find the median, you should divide it into two equal parts 0, 0, 2, 2, 3 and 4, 6, 7, 7, 8 and take the last term from the first part and the first term from the second part. These are numbers 3 and 4. then the median is

[tex] \dfrac{3+4}{2} =3.5. [/tex]

3. The mean=3.9 and the median=3.5. Since 3.5<3.9, the mean number of red cubes is more than the median number of red cubes.

Answer: correct choice is B.

ogorwyne ogorwyne · Answer 2 · 2022-01-31T19:10:44+01:00

The true statement is that The mean number of red cubes is more than the median number of red cubes.

We have to find the mean and the median of the set of values in order to get the right answer.

The set of numbers can be gotten from the graph as:

0,0,2,2,3,4,6,7,7,8

What is the mean?

This the average of the set of scores that we are presented with.

Formula: ∑FX/n

∑FX = sum of scores

n = total number = 10

Calculated mean

[tex]\frac{0+0+2+2+3+4+6+7+7+8}{10}[/tex]

= 3.9

What is the median?

This is the midpoint of the sets of numbers that we have here.

0,0,2,2,3,4,6,7,7,8

The two values in the middle are 3,4

Median:

[tex]\frac{3+4}{2}[/tex]

= 3.5

3.9>3.5 So the true statement is that The mean number of red cubes is more than the median number of red cubes.