AnswersAlgebra D E-Learning Fall 2023 and beyondStandard Deviation

Standard Deviation — Test Answers

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A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

Question illustration
A
The mean will increase, and the median will stay the same.
B
The median will increase, and the mean will stay the same.
C
The mean will increase more than the median, but both will increase.
D
The median will increase more than the mean, but both will increase.
2
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Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
3

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

Question illustration
A
0.19
B
0.45
C
0.82
D
0.90
4

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
5

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of A is similar to the value of B.
B
The value of A is similar to the value of E.
C
The value of B is not similar to the value of C.
D
The value of B is not similar to the value of F.
6

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10
7

The graph shows a distribution of data with a standard deviation of 6.

Question illustration
A
It is within 1 standard deviation of the mean.
B
It is within 2 standard deviations of the mean.
C
It is exactly 3 standard deviations from the mean.
D
It is exactly 4 standard deviations from the mean.
8

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Which is the marginal relative frequency for the people who do not like bar soap?

Question illustration
A
StartFraction 100 Over 400 EndFraction
Option A
B
StartFraction 120 Over 400 EndFraction
Option B
C
StartFraction 280 Over 400 EndFraction
Option C
D
StartFraction 300 Over 400 EndFraction
Option D
9

Which data set has an outlier?

A
6, 13, 13, 15, 15, 18, 18, 22
B
4, 4, 4, 8, 9, 9, 11, 18
C
2, 3, 5, 7, 8, 8, 9, 10, 12, 17
D
3, 6, 7, 7, 8, 8, 9, 9, 9, 10
10

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
11

The data set represents the number of snails that each person counted on a walk after a rainstorm.12, 13, 22, 16, 6, 10, 13, 14, 12What is the outlier of the data?

A
6
B
11
C
15
D
22
12

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

Question illustration
A
x = 14%
B
x = 15%
C
x = 16%
D
x = 18%
13

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
14

Sam kept track of the number of problems he was assigned for his math homework on the box plot.Which statement must be true according to the box plot?

Question illustration
A
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
B
The data is symmetric and shows that the majority of the assignments had 19 problems or more.
C
The data is skewed and shows that half of the assignments contained 15 problems or fewer.
D
The data is skewed and shows that the majority of the assignments had 19 problems or more.
15

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
B
every tenth person walking down Main Street in town at different times of the day
C
all of the students who write into the school newspaper
D
every student from all of Miranda’s classes

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