AnswersMath Models ARange and Interquartile Range

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21
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Which statements are true about the median of a data set? Check all that apply.

A
The median isn’t affected much by one outlier.
B
The median is always affected by one outlier.
C
The median is the number in the middle on an ordered set of data.
D
To find the median, find the difference between the highest and lowest numbers.
E
To find the median of an even data set, find the average of the two middle numbers.
22
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Edward works at a grocery store. He kept track of the number of coupons redeemed by the last 20 shoppers. The center of the dot plot was 1. No one redeemed 4 coupons. Most people did not redeem any coupons. Which dot plot displays this information correctly?

A
Number of Coupons Redeemed by Each Shopper
Option A
B
Number of Coupons Redeemed by Each Shopper
Option B
C
Number of Coupons Redeemed by Each Shopper
Option C
D
Number of Coupons Redeemed by Each Shopper
Option D
23

Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the baskets, how many soaps will go in each basket?

A
9
B
10
C
11
D
12
24

Where is the peak of the dot plot?Number of Blueberries in Each Bite

Question illustration
A
0
B
1
C
5
D
8
25

The students in the cooking club brought sugar to class. They each brought 3, 4, 5, 3, and 5 cups of sugar, respectively. They divided the sugar evenly so that each student received the same number of cups of sugar. How many cups of sugar did each student get?

2
2
3
3
4
4
5
5
26

Which dot plot shows three TV’s in two houses?

A
A dot plot titled How many T V's Are in Your House going from 0 to 4. 0 has 1 dot, 1 has 2 dots, 2 has 3 dots, 3 has 2 dots, and 4 has 1 dot.
Option A
B
A dot plot titled How many T V's Are in Your House going from 0 to 4. 0 and 1 dot, 1 has 2 dots, 2 has 2 dots, 3 has 3 dots, and 4 has 1 dot.
Option B
C
A dot plot titled How many T V's Are in Your House going from 0 to 4. 0 has 0 dots, 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, and 4 has 1 dot.
Option C
D
A dot plot titled How many T V's Are in Your House going from 0 to 4. 0 has 1 dot, 1 has 2 dots, 2 has 4 dots, 3 has 3 dots, and 4 has 1 dot.
Option D
27

Which set of data contains one outlier?

A
15, 19, 26, 51, 18, 21
B
22, 33, 31, 20, 28, 19
C
18, 20, 16, 22, 28, 26
D
27, 21, 31, 18, 21, 29
28

George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24. Step 1: Find the total cars needed to have a mean of 24: .Step 2: Find the total cars sold: .Step 3: Subtract the total cars sold from the total cars needed: .Step 4: State the answer: George needs to sell 26 cars next month. Where did George make his first mistake?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
29

Which describes how to calculate the range of this data set?4, 5, 6, 8, 11, 12

A
Subtract .
Option A
B
Subtract .
Option B
C
Add .
Option C
D
Add .
Option D
30

The table shows the attendance at the art show for the past week. Art Show AttendanceDayAttendanceSunday54Monday29Tuesday22Wednesday28Thursday12Friday15Saturday?What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day?

A
22.9
B
26.7
C
30
D
50
31

Kwan recorded two sets of data.Set 1: 9, 13, 6, 18, 15, 19, 20Median: 15Lower Quartile: 9Upper Quartile: 19Range: 14IQR: 10Set 2: 9, 13, 6, 18, 15, 19, 20, 63Median: 16.5Lower Quartile: 11Upper Quartile: 19.5Range: 57IQR: 8.5One set of data shows an outlier. Which measure of spread was most impacted by the outlier?

A
lower quartile
B
median
C
interquartile range (IQR)
D
range
32

Which is a true statement about the dot plot? Ages of Players on a Soccer Team

Question illustration
A
There are 11 players on the team.
B
The same number of players are 11 years old as are 13 years old.
C
No players are older than 10 years old.
D
More players are 11 years old than any other age.
33

Which questions are good examples of a statistical question? Check all that apply.

A
How many pets do you have?
B
Do you think a pet is a lot of work?
C
Do you like having a pet?
D
How many times a day do you feed your pet?
E
Do you feed your pet at night?
34

Which is an example of a statistical question?QuestionsQuestion 1What percent did Matti score on his English test?Question 2What letter grade did each person score on their English test?Question 3Who scored the best on their English test? Question 4Who scored the worst on their English test?

A
question 1
B
question 2
C
question 3
D
question 4
35

Which set of data does not contain any outliers?

A
113, 115, 103, 154, 109, 111, 119
B
141, 151, 111, 142, 149, 140, 150
C
99, 103, 91, 104, 109, 107, 97
D
131, 135, 131, 99, 138, 136, 140
36

Which are examples of non-statistical questions?QuestionsQuestion 1What is Sasha’s favorite movie?Question 2What is Stacey’s favorite book? Question 3What is your favorite movie?Question 4What is your favorite book?

A
questions 1 and 2
B
questions 1 and 3
C
questions 2 and 4
D
questions 2 and 3
37

The table below shows the deliveries for Floral World for the week. What is the mean, or average, number of deliveries per day?Floral World DeliveriesMonday13Tuesday15Wednesday17Thursday19Friday16

A
16
B
17
C
20
D
29
38

What is true of the data in the dot plot? Check all that apply.Number of Televisions Per Household

Question illustration
A
The center is 2.
B
The center is 1.5.
C
There are no gaps.
D
It has a cluster at 0, 1, and 2.
E
It is skewed left.
F
The spread is from 1 to 5.
G
The information was collected from 22 households.
39

Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218What numbers represent the range, lower quartile, and upper quartiles?

A
range: 210.5lower quartile: 200upper quartile: 218
B
range: 14lower quartile: 111upper quartile: 198
C
range: 119lower quartile: 218upper quartile: 200
D
range: 119lower quartile: 200upper quartile: 218
40

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.

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