Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

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6th Grade Math › Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

Questions 1 - 10
1

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Explanation

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is

2

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Explanation

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is

3

Find the mean of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Explanation

In order to answer this question correctly, we need to recall the definition of mean:

Mean: The mean of a data set is the average of the numbers in a data set.

In order to calculate the mean we must first add up all of the numbers in the data set:

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean for this data set is

4

The difference between 2996 and 4515 is closest to

Explanation

Round 2996 up to 3000 and 4515 down to 4500. The difference between 4500 and 3000 is 1500.

5

Find the mean of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Explanation

In order to answer this question correctly, we need to recall the definition of mean:

Mean: The mean of a data set is the average of the numbers in a data set.

In order to calculate the mean we must first add up all of the numbers in the data set:

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean for this data set is

6

Give the mean of the data set (nearest tenth, if applicable):

Explanation

Add the six elements and divide the sum by 6:

7

Give the mean of the data set (nearest tenth, if applicable):

Explanation

Add the six elements and divide the sum by 6:

8

Give the median of the following eight scores:

Explanation

Arrange the scores from least to greatest.

There are an even number (eight) of scores, so the median is the arithmetic mean of the middle two scores, 72 and 73. This makes the median

9

Give the median of the following eight scores:

Explanation

Arrange the scores from least to greatest.

There are an even number (eight) of scores, so the median is the arithmetic mean of the middle two scores, 72 and 73. This makes the median

10

In a group of 4 books, the average number of pages is is 10. Juan adds a book with 20 pages to the group. What is the new average number of pages?

Explanation

If the average of 4 books was 10, then the total number of pages was . Adding in the 20 new pages, but now dividing by 5 you get .

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