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Sophia Statistics Unit 2 Milestone, questions & Answers with Rationale, Latest 2021

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Sophia Statistics Unit 2 Milestone, questions & Answers with Rationale, Latest 2021

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You passed this Milestone
22 questions were answered correctly.

UNIT 2 — MILESTONE 2
4 questions were answered incorrectly.
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
I need help with this question
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°







150°



124°

RATIONALE
Recall that to get the angle for something in a pie chart we use the following formula:
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

So in this case, the central angle for the chocolate ice cream sector would be:




CONCEPT
Bar Graphs and Pie Charts
I need help with this question
3

, 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
I need help with this question
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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