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Unit Test — Unit test Answers

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Mr. Chiu made a dot plot after asking his students a question.Based on the dot plot, which statements are correct? Check all that apply.

Question illustration
A
Eleven students answered Mr. Chiu’s question.
B
Twelve students answered Mr. Chiu’s question.
C
Three people studied for two hours.
D
Three people studied for three hours.
E
Everyone who responded studied for at least one hour.
F
Four people studied for four or more hours.
42
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Which box plot represents a set of data that has the greatest mean absolute deviation?

A
A box-and-whisker plot. The whiskers have a range of 5 units, and the box has a range of 3.5 units.
Option A
B
A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 7 units.
Option B
C
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 3 units.
Option C
D
A box-and-whisker plot. The whiskers have a range of 4.5 units, and the box has a range of 2 units.
Option D
43

A car dealership owner created a data table to see how many new and used cars were sold over several months. MonthNewUsedJuly3763August4532September2044October2739November7112December4887What is the range for the number of cars, new and used, that were sold from July to December?

Answer not available
44

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? Set 1: 12, 8, 10, 50Set 2: 13, 9, 8

A
The MAD of set 1 is 13 less than the MAD of set 2.
B
The MAD of set 1 is 13 more than the MAD of set 2.
C
The MAD of set 1 is 2 more than the MAD of set 2.
D
The MAD of set 1 is 2 less than the MAD of set 2.
45

Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have?

Question illustration
A
3
B
5
C
8
D
10
46

What are the steps to find the lower and upper quartiles of a data set?

A
1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.
B
1. Find the median. 2. Find the lower quartile. 3. Find the upper quartile.
C
1. Order the values. 2. Find the lower quartile. 3. Find the upper quartile.
D
1. Order the values. 2. Find the lower quartile. 3. Find the upper quartile. 4. Find the median.
47

Julia had nine months to earn money for a school trip. The histogram shows Julia’s monthly deposits into her savings account.Which best describes the data for June, July, and August?

Question illustration
A
a cluster
B
a gap
C
low frequency
D
symmetric
48

The data set represents the total number of tuba players in each of 11 different school bands.0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8What is the lower quartile of the data?

A
1
B
3
C
4
D
6
49

Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98%Which measure of center should Peter choose so he can have the highest percentage possible?

A
Peter should choose the mean after dropping one test score.
B
Peter should choose the mean without dropping one test score.
C
Peter should choose the median after dropping one test score.
D
Peter should choose the median without dropping one test score.
50

Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. Which student found the correct mean?

A
Ashrita’s work:
Option A
B
Collette’s work:
Option B
C
Daniel’s work:
Option C
D
Lora’s work:
Option D
51

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.StudentsTeachersWhich compares the modes of the data?

Question illustration
A
The mode for the students is 2 and the mode for the teachers is 4.
B
The mode for the students is 0 and the mode for the teachers is 1.
C
The mode for the students is 4 and the mode for the teachers is 8.
D
The mode for the students is 2 and the mode for the teachers is 1.
52

Asa received scores of 72, 97, and 82 on her last three math tests. She needs a mean test score of 82 to qualify for the math team. What is the first step in determining how many points she needs on her next test to qualify for the team?

A
Find the sum of all the numbers in the problem, .
Option A
B
Find the average score for the three tests that Asa has taken.
C
Determine the total number of points that she needs on the last test.
D
Determine how many total points are needed to have an average of 82.
53

The amount that two groups of students spent on snacks in one day is shown in the dot plots below.Group AGroup BWhen looking at the differences in the statistical measurements of Group A and Group B, which differences have a value of $1 or less?

Question illustration
A
the median and the mode
B
the mean and the range
C
the mean and the median
D
the mode and the range
54

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

A
$55
B
$72
C
$80
D
$105
55

The dot plot shows the birth year of everyone who works at Sam’s office. The youngest person who works there was born in 1987. Sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. Where did Sam make an error?Birth Year of Employees

Question illustration
A
The spread is from 1966 to 1987.
B
There are 5 gaps.
C
The peak is at 1985.
D
The center is at 1977.
56

The box part of the box plot contains all the values between which numbers?

Question illustration
A
between 27 and 36 and between 37 and 40
B
between 32 and 36
C
between 32 and 37
D
between 27 and 32 and between 37 and 40
57

Lorenzo’s test scores are shown below. Lorenzo’s Test ScoresAnika’s test scores are shown below.Anika’s Test ScoresWhich statement compares the shape of the two dot plots?

Question illustration
A
There is a gap in both plots.
B
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
C
The data is widely spread across both plots.
D
The data is more widely spread for Lorenzo’s scores than for Anika’s.
58

The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at CampWhich is a true statement for most of the data in each plot?

Question illustration
A
Most of the data in each plot are greater than 48.
B
Most of the data in each plot are less than 48.
C
Most of the data in each plot are around 52.
D
Most of the data in each plot are around 54.
59

The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.Which statement is true about the box plots? Select three options.

Question illustration
A
Ms. Dobson’s class has a smaller range of scores.
B
The district has a greater interquartile range.
C
Fifteen is an outlier for the district’s scores.
D
One hundred is an outlier for the district’s scores.
E
In general, the district’s scores were better than those of Ms. Dobson’s class.
60

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.Which statement is true about the box plots?

Question illustration
A
The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B
The data for suitcase 2 have a greater median than the data for suitcase 1.
C
The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D
The data for suitcase 2 has a greater range than the data for suitcase 1.

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