A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
.
Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.
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Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.
.
Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.
.
The center of the data for students has a value less than that of the center of the data for teachers.
.
The center of the data is to the right of the dot plot for both teachers and students.
.
There is a greater variation in the data for teachers than for students.
.
Both sets of data cluster around 2.
.
The same number of teachers as students were surveyed.

Answer:

The center of the data is to the right of the dot plot for both teachers and students.

There is a greater variation in the data for teachers than for students.

The center of the data for students has a value less than that of the center of the data for teachers.

Step-by-step explanation:

Based on the shape of the two dot plot correct statements are as follow

The center of the data for students has a value less than that of the center of the data for teachers.

The center of the data is to the right of the dot plot for both teachers and students.

There is a greater variation in the data for teachers than for students.

" A number line is a representation of straight line on which numbers are marked at equal intervals."

According to the question,

As we can see in the diagram of number line dot,

The center of the data for students is near to 2 .

The center of the data for teachers is more than 3.

Therefore,

The center of the data for students has a value less than that of the center of the data for teachers.

From the diagram of number line dot plot we can observe this

The center of the data is to the right of the dot plot for both teachers and students.

Teachers variation is from 0 to 8  .

Students variation is from 0 to 4.

Therefore,

There is a greater variation in the data for teachers than for students.

No , teachers data is cluster around 3 and 4.

Number of teacher surveyed = 8

Number of students surveyed = 5

Hence, first three statements are correctly compare teachers and students.

Learn more about number line here

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