6.11 Checkpoint Quiz Mean as a Balance Point

Coach Hart calculated the mean, median, mode, and range for these data. He realized he forgot to include Louise’s 11 catches in the table. If he now includes Louise’s 11 catches with the data for the other five players, which of the following measures of center would change from his original calculations?

• Mean

• Median

• Mode

• Range

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CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Tim wants his mean quiz score in math class to be a 90. He has earned grades of 86, 92, and 94 on his first three math quizzes. What must he earn on his 4^th quiz to make his mean quiz score be a 90?

• 85

• 88

• 93

• 95

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CCSS.6.SP.B.5C

Which two measures of center are the same for this data?

• mean and median

• mean and mode

• mode and median

• mean and range

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Using the line plot below, calculate the mean as a balance point.

• 3.5

• 4

• 4.5

• 6

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CCSS.6.SP.B.5C

Select all true statements. More than one answer may be selected.

• The median is the number that appears most often in the data.

• The mean is also referred to as the average of the data.

• To find the mean, add the data and divide by the number of pieces of data.

• The median can only be found if there is an odd number of pieces of data.

• An outlier in the data can cause the mean to misrepresent the data.

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Calculate the mean as a balance point.

• 500

• 550

• 600

• 750

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CCSS.6.SP.B.5C

The line plot below shows the number of children of thirty United States presidents. Find the mean as a balance point.

• 2

• 3.5

• 5

• 5.5

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CCSS.6.SP.A.3

Which of the following statements is not true?

• The mean works well as a measure of center when there are not any extremely high or low numbers in the data (outliers).

• If no value in the data occurs more often than any other, the data is bimodal.

• If there is an even number of pieces of data, the median is the mathematical average of the two middle numbers

• Mean can be defined as a balance point or fair-share.

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CCSS.6.SP.A.3