Question

In a class of 25 students, 7 students have 2 brothers or sisters. 4 students have 1 brother or sister. 3 students do not have any brothers or sisters. 6 students have 3 brothers or sisters. The remaining students have 4 brothers or sisters.

Part A

Use the drop-down menus to make the statement true.

The scale of the line plot should have    Choose...   (0,    1,   7,   8)   as its least data value and    Choose...   (3,    4,   7,   25)   as its greatest data value.

Part B

Use the drop-down menus to make each of the statements about the number of dots true.

 There will be   Choose...   (1,   2,    3,    4)   dots above 1.

There will be   Choose...   (4,    5,    6,    7)   dots above 4.

There will be three dots above   Choose...   (0,    1,    2,    3)   

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Answer 1

Using the basis of how we must represent data on a graph, we can write:

A) The scale is 1, and the maximum value is 7.

B)

•  Above 1 we already know that there must be 4 dots.
•    Above 4, there must be 6 dots.
•    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

How to correctly represent the data?

First, we know that the sample has 25 people in it, an we measure the number of brothers, in such a way that the number of brothers/sisters goes from 0 to 5.

Then, the horizontal axis must go from 0 to 4, in such a way that above the 0 we have 3 dots (because 3 students have 0 brothers or sisters), above the 1 we have 4 dots (because 4 students have one brother or sisters), and so on.

7 students have 2 brothers or sisters (that is the largest number) so the vertical axis must go from 0 to 7.

A) The scale of the line plot is 1, each dot represents 1 student. And the greatest value is 7 (for the students with 2 brothers or sisters).

B)

•   Above 1 we already know that there must be 4 dots.
•    Above 4, there must be 6 dots.
•    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

If you want to learn more about plotting data, you can read:

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