AnswersConcepts in Probability and Statistics ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.StudentsTeachersBased on the shape of the two dot plots, which statements correctly compare them? Select three choices.

Question illustration
A
The center of the data for students has a value less than that of the center of the data for teachers.
B
The center of the data is to the right of the dot plot for both teachers and students.
C
There is a greater variation in the data for teachers than for students.
D
Both sets of data cluster around 2.
E
The same number of teachers as students were surveyed.
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Max recorded the math scores of five of his classmates in the table. Math Scores98761008882What is the range of their test scores?

A
16
B
24
C
88
D
89
43

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. About how many times should Kevin land on red or purple?

A
about 18 times
B
about 36 times
C
about 40 times
D
about 72 times
44

A baseball team’s roster consists of 25 players with 13 position players and the rest being pitchers. The team’s batting order for a particular game consists of 9 players. The first 8 places in the batting order are taken by position players. The last place is taken by a pitcher. How many batting orders are possible? Use the formula for permutations to find your answer.

A
15,444
B
2,042,975
C
51,891,840
D
622,702,080
45

Ivan was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124, 121, 109Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61How is the median affected by the outlier?

A
The outlier slightly affected the median.
B
The outlier made the median higher than all the other values.
C
The outlier made the median lower than all the other values.
D
The median is the exact same number in both data sets.
46

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Question illustration
A
Two-sevenths
Option A
B
Two-fifths
Option B
C
Four-sevenths
Option C
D
Four-fifths
Option D
47

What is the center of the data in the dot plot?Number of Minutes to Finish the Quiz

Question illustration
A
12
B
12.5
C
13
D
13.5
48

The frequency table below will be used to make a histogram.Test ScoreNumber of Students1 - 10111 - 20021 - 30131 - 40141 - 50251 - 60461 - 70671 - 801181 - 90591 - 1004What is an appropriate scale and interval for this histogram?

A
The scale should be 0 - 10, and the interval should be 10.
B
The scale should be 0 - 15, and the interval should be 5.
C
The scale should be 1 - 10, and the interval should be 5.
D
The scale should be 1 - 15, and the interval should be 10.
49

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? If necessary, round any values for the MAD to the nearest tenth to help answer the question. Set 1: 30, 25, 5, 32Set 2: 25, 30, 32

A
The MAD of set 1 is 29 more than the MAD of set 2.
B
The MAD of set 1 is 6.3 more than the MAD of set 2.
C
The MAD of set 1 is 23 less than the MAD of set 2.
D
The MAD of set 1 is 6.3 less than the MAD of set 2.
50

Which data set is the most spread from its mean?

A
26, 6, 20, 36
B
28, 15, 30, 15
C
49, 17, 4, 18
D
14, 20, 24, 30

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