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9.06 Changing data values and measures of center

Adaptive
Worksheet

Interactive practice questions

The $5$5 numbers $16,16,17,24,17$16,16,17,24,17 have a mean of $18$18. If a new number is added that is bigger than $24$24, will the mean will be higher or lower?

Higher

A

Lower

B
Easy
< 1min

The 5 numbers $11,13,9,13,9$11,13,9,13,9 have a mean of $11$11. If a new number is added that is smaller than $9$9, will the mean be higher or lower?

Easy
< 1min

The mean of a set of $41$41 scores is $18.6$18.6. If a score of $71.8$71.8 is added to the set, find the new mean.

Write your answer correct to two decimal places.

Medium
1min

Assess how various changes to data sets alter their characteristics.

Medium
1min
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Outcomes

6.PS.2

The student will represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed.

6.PS.2b

Determine the effect on measures of center when a single value of a data set is added, removed, or changed.

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