Deck 2: Describing, Exploring, and Comparing Data
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Deck 2: Describing, Exploring, and Comparing Data
1
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the sample data value corresponding to P24 .
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the sample data value corresponding to P24 .
30
2
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Using five classes, construct a frequency distribution of the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Using five classes, construct a frequency distribution of the students' exercise capacity.

3
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the mean, the median, and the mode for the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the mean, the median, and the mode for the students' exercise capacity.

4
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the percentile corresponding to 36 minutes.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the percentile corresponding to 36 minutes.
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5
If a Pie Chart were constructed for the weights of the salmon, what would be the measure of the central angle for the class weighing 200-249 grams?
A) 67.5°
B) 112.5°
C) 45°
D) 135°
A) 67.5°
B) 112.5°
C) 45°
D) 135°
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6
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the standard deviation and the variance for the sample data of the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Find the standard deviation and the variance for the sample data of the students' exercise capacity.
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7
Use the following data for the next questions. The information below was
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

Using the Empirical Rule, what is the approximate percentage of people waiting for a heart between 2505 and 4695 patients?
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

Using the Empirical Rule, what is the approximate percentage of people waiting for a heart between 2505 and 4695 patients?
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8
Use the following data for the next questions. The information below was
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

In 2003, the mean number of patients waiting for a heart transplant was 3400. Convert this data to a z-score.
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

In 2003, the mean number of patients waiting for a heart transplant was 3400. Convert this data to a z-score.
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9
The distribution of the histogram for the weights of the juvenile salmon appears:
A) Normal
B) Skewed left
C) Uniform
D) Skewed right
A) Normal
B) Skewed left
C) Uniform
D) Skewed right
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10
If a cumulative frequency distribution were constructed for the weights of the salmon, what would be the cumulative frequency for the class weighing less than 200 grams?
A) 15
B) 25
C) 55
D) 80
A) 15
B) 25
C) 55
D) 80
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11
Use the frequency distribution to answer the next questions. A sample of 80
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.
Construct a corresponding histogram for the weights of the juvenile salmon.
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.

Construct a corresponding histogram for the weights of the juvenile salmon.
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12
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Construct a stem and leaf plot of the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Construct a stem and leaf plot of the students' exercise capacity.
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13
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Identify the five number summary for the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Identify the five number summary for the students' exercise capacity.
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14
Use the following data for the next questions. The information below was
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

Use the Range Rule of Thumb to estimate the minimum and maximum "usual" number of patients waiting for a heart.
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

Use the Range Rule of Thumb to estimate the minimum and maximum "usual" number of patients waiting for a heart.
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15
Use the frequency distribution to answer the next questions. A sample of 80
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.
Determine the sample mean of the weights of the juvenile salmon summarized in the frequency distribution.
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.

Determine the sample mean of the weights of the juvenile salmon summarized in the frequency distribution.
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16
If a relative frequency distribution were constructed for the weights of the salmon, what would be the relative frequency for the class weighing 150-199 grams?
A) 12.5%
B) 31.25%
C) 18.75%
D) 37.5%
A) 12.5%
B) 31.25%
C) 18.75%
D) 37.5%
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17
Use the frequency distribution to answer the next questions. A sample of 80
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.
Identify the class width, the class midpoints, and the class boundaries.
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.

Identify the class width, the class midpoints, and the class boundaries.
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18
Use the frequency distribution to answer the next questions. A sample of 80
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.
Find the sample standard deviation of the weights of the juvenile salmon summarized in the frequency distribution.
juvenile salmon is grouped into the resulting frequency distribution based on their
weights.

Find the sample standard deviation of the weights of the juvenile salmon summarized in the frequency distribution.
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19
Use the following data for the next questions. The information below was
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

In 1998, the mean number of patients waiting for a heart transplant was 4000. Convert this data to a z-score.
generated from a registry of the number of patients waiting for a heart transplant
during the last 10 years.

In 1998, the mean number of patients waiting for a heart transplant was 4000. Convert this data to a z-score.
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20
Use the following sample data for the following questions. A study of physical
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Construct a box plot for the students' exercise capacity.
fitness tests for 12 randomly selected Pre-Medical students measured their exercise
capacity (in minutes). The following data resulted:

Construct a box plot for the students' exercise capacity.
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21
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Using four classes, construct a frequency distribution of the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Using four classes, construct a frequency distribution of the beers' percentage of alcohol content.
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22
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Find the percentile corresponding to 9% alcohol.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Find the percentile corresponding to 9% alcohol.
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23
If a cumulative frequency distribution were constructed for the width of the channels, what would be the cumulative frequency for the class width less than 10m?
A) 103
B) 234
C) 185
D) 250
A) 103
B) 234
C) 185
D) 250
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24
Use the frequency distribution to answer the next questions. A sample of 272
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.
Determine the sample mean of the width of the channels summarized in the frequency distribution.
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.

Determine the sample mean of the width of the channels summarized in the frequency distribution.
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25
If a relative frequency distribution were constructed for the width of the channels, what would be the relative frequency for the class with a width of 20-24m?
A) 5.9%
B) 18%
C) 2.2%
D) 30.1%
A) 5.9%
B) 18%
C) 2.2%
D) 30.1%
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26
Use the frequency distribution to answer the next questions. A sample of 272
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.
Construct a corresponding histogram for the width of the channels.
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.

Construct a corresponding histogram for the width of the channels.
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27
The distribution of the histogram for the width of the channels appears:
A) Normal
B) Skewed left
C) Uniform
D) Skewed right
A) Normal
B) Skewed left
C) Uniform
D) Skewed right
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28
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Construct a box plot for the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Construct a box plot for the beers' percentage of alcohol content.
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29
Use the following data for the next questions. Dental researchers found that a
sample of females scored the following on the Dental Hygiene Fear Survey:

Convert a total fear score of 10 to a z-score.
sample of females scored the following on the Dental Hygiene Fear Survey:

Convert a total fear score of 10 to a z-score.
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30
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Find the standard deviation and the variance for the sample data of the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Find the standard deviation and the variance for the sample data of the beers' percentage of alcohol content.
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31
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Construct a stem and leaf plot of the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Construct a stem and leaf plot of the beers' percentage of alcohol content.
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32
Use the following data for the next questions. Dental researchers found that a
sample of females scored the following on the Dental Hygiene Fear Survey:

Convert a total fear score of 35 to a z-score.
sample of females scored the following on the Dental Hygiene Fear Survey:

Convert a total fear score of 35 to a z-score.
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33
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Find the sample data value corresponding to
.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Find the sample data value corresponding to

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34
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Find the mean, the median, and the mode for the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Find the mean, the median, and the mode for the beers' percentage of alcohol content.
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35
If a Pie Chart were constructed for the width of the channels, what would be the measure of the central angle for the class width 10-14m?
A) 21.2°
B) 136.3°
C) 108.5°
D) 64.9°
A) 21.2°
B) 136.3°
C) 108.5°
D) 64.9°
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36
Use the following data for the next questions. Dental researchers found that a
sample of females scored the following on the Dental Hygiene Fear Survey:

Using the Empirical Rule, what is the approximate percentage of females with a total fear score between 16.6 and 38.4?
sample of females scored the following on the Dental Hygiene Fear Survey:

Using the Empirical Rule, what is the approximate percentage of females with a total fear score between 16.6 and 38.4?
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37
Use the following sample data for the next questions. A study of the
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:
Identify the five number summary for the beers' percentage of alcohol content.
percentage of alcohol content of nine randomly selected expensive beers yielded
the following data:

Identify the five number summary for the beers' percentage of alcohol content.
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38
Use the frequency distribution to answer the next questions. A sample of 272
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.
Find the sample standard deviation of the width of the channels summarized in the frequency distribution.
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.

Find the sample standard deviation of the width of the channels summarized in the frequency distribution.
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39
Use the following data for the next questions. Dental researchers found that a
sample of females scored the following on the Dental Hygiene Fear Survey:

Use the Range Rule of Thumb to estimate the minimum and maximum "usual" total fear score for females.
sample of females scored the following on the Dental Hygiene Fear Survey:

Use the Range Rule of Thumb to estimate the minimum and maximum "usual" total fear score for females.
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40
Use the frequency distribution to answer the next questions. A sample of 272
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.
Identify the class width, the class midpoints, and the class boundaries.
log jams found in river channels in the Northwest U.S. is grouped into the resulting
frequency distribution based on the width of the channel in which the log jams
were found.

Identify the class width, the class midpoints, and the class boundaries.
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