Deck 10: Data Description and Probability Distributions

Question 1

Construct a frequency table:

-The following is the number of hours students studied per week on average. Use five intervals, starting with 0 - 4.

A)
B)
C)
D)

Answer 1

Question 2

Construct a frequency table:
-The following are the heights, in inches, of ten middle school basketball players. Determine the data range for the following data set. Also, construct a frequency table for the data set, use a class interval width of 2 and start with 62.5 inches.

Answer 2

Data range: 11

Question 3

The frequency distribution below gives the weight in grams of 100 laboratory mice. What is the probability that the weight of a healthy mouse selected randomly from the sample will be more than 52 grams?

A) 0.33
B) 0.67
C) 0.50
D) 0.23

Answer 3

0.33

Question 4

Given the frequency distribution below, what is the probability of the hourly wage of a person chosen at random from the sample being less than $4.495?

A) 0.08
B) 0.20
C) 0.80
D) 0.75

Question 5

Construct the specified histogram:
-Eighty U. S households were surveyed about MP3 players. The table gives the frequency distribution for the data. Construct a histogram.

Question 6

Construct the specified histogram:
-Construct a histogram for the following frequency table.

Question 7

Construct the specified histogram:
-Twenty voters were asked their age. The results are summarized in the frequency table below. Construct a histogram.

Question 8

Construct the specified histogram:
-Construct a histogram for the following set of data on oil rig utilization by type.

Question 9

Construct a bar graph of the given frequency distribution:

-The frequency distribution indicates the height in feet of persons in a group of 216 people.

A)
B)
C)
D)

Question 10

Construct a bar graph of the given frequency distribution:

-The frequency distribution indicates the number of fish caught by each fisherman in a group of 250 fishermen.

A)
B)
C)
D)

Question 11

Construct a broken-line graph of the data in the table:
-The following table shows the number of computer sales made at Computer Buy over five months. Use time on the horizontal scale for your line graph.

Question 12

Construct a broken-line graph of the data in the table:
-The following table gives the total amount of precipitation during the given months. Use time on the horizontal scale for your line graph.

Question 13

Construct a pie graph, with sectors given in percent, to represent the data in the given table:

-

A)
B)
C)
D)

Question 14

Construct a pie graph, with sectors given in percent, to represent the data in the given table:

-

A)
B)
C)
D)

Question 15

Construct a pie graph, with sectors given in percent, to represent the data in the given table:

-

A)
B)
C)
D)

Question 16

Construct a frequency polygon:

-

A)
B)

Question 17

Construct a frequency polygon:

-

A)
B)

Question 18

Find the mean for the data set:
2, 11, 35, 2, 9, 35, 11, 9, 7, 2, 2, 2, 2, 9, 2

A) 2
B) 11
C) 9.33
D) 7

Question 19

Following is a sample of the percent increases in the price of a house from 2002 to 2007 in 8 regions of the U. S.
75 130 145 150 150 225 225 300
Find the mean.

A) 225
B) 175
C) 150
D) 300

Question 20

In the English department of a midwestern university, the annual salaries of five faculty members are $34,000, $35,000, $36,000, $36,500 and $65,000.
Compute the mean.

A) $50,750
B) $36000
C) $41,300
D) $34,000

Question 21

A small company employs a supervisor at $1200 a week, an inventory manager at $800 a week, 5 stock boys at $400 a week each, and 3 drivers at $700 a week each.

A) $550
B) $610
C) $1017
D) $1260

Question 22

Find the mean for the following grouped data.

A) 15.5
B) 17.1
C) 19.5
D) 7.5

Question 23

Find the mean for the following grouped data.

A) 11
B) 14
C) 16.47
D) 17

Question 24

Find the median for the data set:
2, 14, 35, 2, 8, 35, 14, 8, 6, 2, 2, 2, 2, 8, 2

A) 9.47
B) 8
C) 14.25
D) 6

Question 25

Following is a sample of the percent increases in the price of a house from 2000 to 2005 in 8 regions of the U. S.
75 130 145 150 150 225 225 300
Find the median.

A) 225
B) 150
C) 137.5
D) 300

Question 26

Find the median for the following grouped data.

A) 11.35
B) 9.875
C) 10
D) 8.35

Question 27

Find the median for the following grouped data.

A) 9.5
B) 11.5
C) 7.60
D) 7.25

Question 28

Find the mode for the data set:
3, 13, 30, 3, 8, 30, 13, 8, 6, 3, 3, 3, 3, 8, 3

A) 9.6
B) 7
C) 3
D) 13

Question 29

Find the mode for the data set:
2, 11, 35, 2, 9, 35, 11, 9, 7, 2, 2, 2, 2, 9, 2

A) 9.3
B) 7
C) 11
D) 2

Question 30

Which single measure of central tendency - mean, median, or mode - would you say best describes the given set of measurements?

-

A) The Mean
B) The Mode
C) The Median

Question 31

Which single measure of central tendency - mean, median, or mode - would you say best describes the given set of measurements?

-

A) The Median
B) The Mean
C) The Mode

Question 32

If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?

A) $110.25
B) $109.40
C) $130.50
D) $105.50

Question 33

In the English department of a midwestern university, the annual salaries of five faculty members are $34,000, $35,000, $36,000, $36,500 and $65,000.
Compute the median.

A) $36,000
B) $41,300
C) $50,750
D) $34,000

Question 34

Here are the prices for 8 different MP3 players. Find the standard deviation.
$195 $358 $201 $276 $161 $301 $387 $128
Round to one decimal place.

A) 329.5
B) 144.5
C) 94.1
D) 238.5

Question 35

Here are the commutes (in miles) for a group of six students. Find the standard deviation.
14.7 16.3 34.0 33.7 22.6 16.0
Round to two decimal places.

A) 3141.91
B) 3540.25
C) 33.93
D) 8.93

Question 36

Find the standard deviation for the following data set:
2, 2, 2, 5, 5, 6, 6, 8, 8, 9

A) 2
B) 6.21
C) 2.49
D) 5

Question 37

What proportion of the following sample of ten measurements lies within 1 standard deviation of the mean?

A) 60%
B) 40%
C) 80%
D) 100%

Question 38

What proportion of the following sample of ten measurements lies within 2 standard deviations of the mean?

A) 100%
B) 80%
C) 70%
D) 90%

Question 39

Find the standard deviation for the following grouped data:

A) 3.09
B) 9.5625
C) 3.256
D) 7.56

Question 40

The register of a college recorded the amount of time each student spent waiting in line during peak registration hours one Monday. The frequency table below summarizes the results. Find the standard deviation. Round your answer to one decimal place.

A) 5.4
B) 5.6
C) 5.3
D) 5.8
E) 5.9

Question 41

The test scores of 40 driver license applicants are summarized in the frequency table below. Find the standard deviation. Round your answer to one decimal place.

A) 12.0
B) 12.1
C) 12.7
D) 14.1
E) 13.4

Question 42

Here are the prices for 8 different MP3 players. Find the range.
$195 $358 $201 $276 $161 $301 $387 $128

A) 200
B) 259
C) 230
D) 195

Question 43

Here are the commutes (in miles) for a group of six students.
14.7 16.3 34.0 33.7 22.6 16.0
Find the range rounded to one decimal place.

A) 16.0
B) 19.5
C) 19.3
D) 34.0

Question 44

Evaluate for the given values of n, x, and p.

-n = 30, x = 12, p = 0.20

A) 0.0028
B) 0.0139
C) 0.0064
D) 0.1082

Question 45

Evaluate for the given values of n, x, and p.

-n = 6, x = 3, p =

A) 0.0322
B) 0.0154
C) 0.0286
D) 0.0536

Question 46

A fair coin is tossed fourteen times. What is the probability of obtaining the following? Express the answer both in terms of and as a four-place decimal.
-Exactly 12 heads?

Question 47

Construct a histogram for the binomial distribution ,and compute the mean and standard deviation:
-n = 6, p =

Question 48

Construct a histogram for the binomial distribution ,and compute the mean and standard deviation:
-n = 7 and p =

Question 49

According to a college survey, 22% of all students do not work. Find the standard deviation for the random variable X, the number of students who do not work in samples of size 16.

A) 1.88
B) 2.75
C) 3.52
D) 1.66

Question 50

If a baseball player has a batting average of 0.420, what is the probability that the player will get at least 2 hits in the next four times at bat?

A) 0.333
B) 0.042
C) 0.50
D) 0.559

Question 51

A botanist wants to grow a rare plant in his greenhouse. The probability that a given bulb will mature is 0.42. Suppose 6 bulbs are planted.(A) Write the probability function defining this distribution.(B) What is the probability that 3 or more bulbs will mature?(Round your answer to three decimal places.)

Question 52

In a certain college, 33% of the math majors belong to foreign student. If 10 students are selected at random from the math majors, that is the probability that no more than 6 are foreign?

A) 0.9815
B) 0.913
C) 0.9846
D) 0.0547

Question 53

According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.Find the mean of the binomial distribution.

A) 2.75
B) 3.52
C) 0.22
D) 4.00

Question 54

A normal random variable X has mean 40 and standard deviation 16. Find the area under the normal curve above the interval 16-60.

A) 0.8089
B) 0.8276
C) 0.8962
D) 0.7324

Question 55

The life expectancy (in hours) of a fluorescent tube is normally distributed with mean 7,000 and standard deviation 1,000. Find the probability that a tube lasts for more than 8,900 hours.

A) 0.9719
B) 0.0287
C) 0.9713
D) 0.0281

Question 56

A normal distribution has mean 200 and standard deviation 50. Find the area under the normal curve from the mean to 224.

A) 0.5000
B) 0.6844
C) 0.1844
D) 0.6808

Question 57

Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.

-125

A) 2
B) 3
C) 0
D) 1

Question 58

Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.

-107

A) 1.4
B) 2.6
C) 3.2
D) 2

Question 59

Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.

-134.9

A) 2.98
B) 3.02
C) 3.25
D) 2.18

Question 60

Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.

-114.2

A) 2.12
B) 1.2
C) 2.4
D) 1.16

Question 61

Use the rule-of-thumb test to check whether a normal distribution (with the same mean and standard deviation as the binomial distribution) is a suitable approximation for the binomial distribution with given the properties:

-n = 20, p = .8

Question 62

Use the rule-of-thumb test to check whether a normal distribution (with the same mean and standard deviation as the binomial distribution) is a suitable approximation for the binomial distribution with given the properties:

-n = 400, p = 0.06

Question 63

Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent:

-The mean clotting time of blood is 7.35 seconds, with a standard deviation of 0.35 seconds. What is the probability that blood clotting time will be less than 7 seconds?

A) 14%
B) 16%
C) 15%
D) 84%

Question 64

Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent:

-The average size of the bass in a lake is 11.4 inches, with a standard deviation of 3.2 inches. Find the probability of catching a bass longer than 17 inches.

A) 4%
B) 8%
C) 5%
D) 96%

Question 65

Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent:

-A machine produces screws with an average diameter of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a screw will have a diameter greater than 0.32 inches?

A) 3%
B) 1%
C) 2%
D) 97%