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Math | Graded Assignment | Unit Test, Part 2 | Working with Data
Name:
Date:
Graded Assignment
Unit Test, Part 2: Working with Data
Answer the questions. When you have finished, submit this assignment to your teacher by the due date for
full credit.
(9 points)
1. The data set shows the fuel efficiencies, in miles per gallon, of the vehicles featured in a
car-buying guide.
26
31
40
28
19
23
35
38
43
46
28
Score
30
A. What is the five-number summary of the data set?
B. What is the range of the data set? Show your work.
C. What is the interquartile range (IQR) of the data set? Show your work.
Answer:
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Math | Graded Assignment | Unit Test, Part 2 | Working with Data
(11 points)
2. The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in
a farming magazine.
18
22
14
30
Score
26
A. What is the mean, x , of the data set?
B. What is the sum of the squares of the differences between each data value and the mean? Use the
table to organize your work.
x
x−x
(x − x)
2
Sum:
C. What is the standard deviation of the data set? Use the sum from Part B and show your work.
D. A second group of pumpkins, with weights of 32, 35, 33, 34, and 36 pounds, are chosen for another
photograph. Will the standard deviation of these weights be greater or less than the standard
deviation found in Part C? Answer this without doing a calculation and explain your reasoning.
Answer:
Your Score
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