UNIT 2 — MILESTONE 2
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1
The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a
standard deviation of 4. On a particular day, 52 mobile phones were sold.
What is the z-score of the sale of mobile phones on that day?
-28
28
1.75
-1.75
RATIONALE
Recall that the z-score can be calculated with the following formula:
The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values
in to get the following z-score:
This also tells us that 52 is 1.75 z-scores or standard deviations above the mean.
CONCEPT
Standard Scores and Z-Scores
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2
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100
said they preferred cookies & cream, and 4 said they had never eaten ice cream.
If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate
ice cream sector would be __________.
41°
5°
150°
124°
RATIONALE
Recall that to get the angle for something in a pie chart we use the following formula:
So in this case, the central angle for the chocolate ice cream sector would be:
CONCEPT
Bar Graphs and Pie Charts
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3
open parentheses fraction numerator v a l u e over denominator t o t a l space v a l u e end fraction
close parentheses times 360 degree
The first quartile (Q1) value from the above box plot is __________.
47
40
65
54
RATIONALE
Note the value for Q1 is the left edge of the box, which is 47.
CONCEPT
Five Number Summary and Boxplots
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4
Select the statement that accurately describes unimodal distribution.
A distribution in which two distinct values are more frequent than the other values.
A distribution in which the values are distributed uniformly.
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