AnswersAlgebra D E-Learning Fall 2023 and beyondIntroduction to Normal Distributions

Introduction to Normal Distributions — Test Answers

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1
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Draw a histogram for the intervals 16-18, 19-21, 22-24, and 25-27 using the following data: 26, 16, 22, 27, 20, 24, 21, 27, 22, 21, 26, 27, 23, 20, 16, 17, 27, 19, 17, 17a.c.b.d.

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A
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B
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Is the data set "distance a baseball travels after being hit" quantitative or qualitative? If it is quantitative, is it discrete or continuous?

A
qualitative
B
quantitative, discrete
C
quantitative, continuous
D
neither
3

The graph below represents the distribution of scores on a placement test for students at Central High School. Select the statement that is true about the distribution of scores. Placement Test Results

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A
The mode is the greater than the median.
B
There are two medians
C
The mode is less than the median.
D
The median and mode are the same.
4

The heights of a certain group of adult males was found to be normally distributed. The mean height is 170 cm with a standard deviation of 6 cm. In a group of 1200 of these males, about how many would be more than 164 cm tall?

A
1173
B
1146
C
1010
D
820
5

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º.Estimate the probability that the temperature on a given day in February is 22º or lower.

A
0.23
B
0.48
C
0.815
D
0.16
6

Find the sample standard deviation and the population standard deviation of the data set.52, 19, 44, 49, 37, 46, 52, 36, 54, 13, 14, 17, 34, 16, 51a.c.b.d.

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A
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B
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C
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D
7

Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed, skewed right, or skewed left.

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A
skewed right
B
skewed left
C
uniform
D
symmetric
8

Which statement is not true about the data shown by the box plot below?

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A
Half the data lies between 53 and 74.
B
The range is 57.
C
Three fourths of the data is greater than 65.
D
The median of the lower half of the data is 53.
9

Which statement is not true about the data shown by the box plot below?

Question illustration
A
The median of the lower half of the data is 32.
B
The range is 25.
C
Half of the data lies between 32 and 40.
D
Three fourths of the data is greater than 37.
10

The heights of 1000 students at a local school were recorded and found to be approximated by the normal curve below. Which answer could represent the mean and standard deviation for these data?

Question illustration
A
70, 5
B
66, 8
C
54, 4
D
66, 4
11

Is the shape of the graph best described as uniform, symmetric, skewed right, or skewed left?

Question illustration
A
skewed right
B
symmetric
C
skewed left
D
uniform
12

In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.

A
4.67
B
18.0
C
–4.67
D
13.33
13

The average daily temperatures of a city in theUnited States were recorded for one year. The graph below shows the information. What is the median and the standard deviation of the average daily temperatures of this city?

Question illustration
A
90; 36
B
36; 6
C
84; 6
D
84; 8
14

The heights of 500 students at a local school were recorded and found to be approximated by the normal curve below. Which answer could represent the mean and standard deviation for these data?

Question illustration
A
69, 6
B
72, 4
C
69, 3
D
60, 3
15

Which set of population data is the least dispersed from its mean?

A
2, 3, 2, 9
B
4, 0, 4, 0
C
6, 2, 2, 2
D
9, 3, 5, 3

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Introduction to Normal Distributions — Test…