AnswersConcepts in Probability and Statistics AFinding the Mean

Finding the Mean Answers

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1
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What is the mean of the data set? 85, 97, 84, 88, 95, 100, 81

A
19
B
83
C
88
D
90
2
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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
3

What is the mean of the data set below?12, 15, 10, 11

Answer not available
4

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.
5

Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90?

Answer:

93

6

Brenda had bowling scores of 92, 110, 85, 78, and 96. She completed the steps below to determine the score she needs in her next game to have a mean, or average, bowling score of 96. Step 1: Find the total points needed to score in six games: .Step 2: Find the total points scored: .Step 3: Subtract the total points scored from the total points needed: .Step 4: State the answer: Brenda needs to score 211 in her next game. Where did Brenda make her first mistake?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
7

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
8

Margo has 15 pounds of clay, Tim has 10 pounds of clay, Tray has 13 pounds of clay, Lila has 14 pounds of clay, and Jerry has 13 pounds of clay. How can they redistribute the clay so that they all have the same amount? Check all that apply.

A
Margo should give away 2 pounds of clay.
B
Margo should be given 2 pounds of clay.
C
Tim should be given 1 pound of clay.
D
Lila should give away 1 pound of clay.
E
When fairly balanced everyone will have 14 pounds of clay.
F
When fairly balanced everyone will have 13 pounds of clay.
9

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
10

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
11

What is the mean of the data set? 17, 24, 26, 13

4
4
1
13
2
20
8
80
12

Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?

Question illustration
A
4
B
5
C
6
D
7
13

What is the mean of the data set? 85, 97, 84, 88, 95, 100, 81

1
19
8
83
8
88
9
90
14

The diagram shows the number of dollars each child has in a family. How can you redistribute the money so that each child has the same amount? Check all that apply.

Question illustration
A
Each child who has $8 must give away $4.
B
Each child who has $8 must give away $2.
C
Each child who has $4 must be given $4.
D
Each child who has $4 must be given $2.
E
When fairly balanced, each child has $6.
F
When fairly balanced, each child has $7.
15

The Wing Station wants the average price of the lunch meal deals to be $8. Lunch Meal Deal PricesItemPrice ($)Deluxe hamburger$9Reuben sandwich$7Chicken wings Chicken stir fry$9Cobb salad$6Make your own sandwich$10What does the price of the chicken wings need to be for this to happen?

A
$6
B
$7
C
$8
D
$9
16

first

Question illustration
S
Step 1
S
Step 2
S
Step 3
S
Step 4
17

What is the mean of the data set? 17, 24, 26, 13

A
4
B
13
C
20
D
80
18

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

$
$55
$
$72
$
$80
$
$105
19

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
3
3
5
5
8
8
1
10
20

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

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