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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

Six numbers have a mean of $16$16. If five of the numbers are $14$14, $10$10, $12$12, $11$11, and $10$10, and the last number is $x$x, find the value of $x$x.

Medium
2min

The mean of five scores is $17$17. If four of the scores are $15$15, $11$11, $12$12, and $29$29, find the fourth score $a$a.

Medium
3min
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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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