Deck 3: Numerically Summarizing Data

Question 1

Provide an appropriate response.
Describe the shape of the histogram. The data set: round-trip commuting times (in minutes) of 20 randomly selected employees

Answer 1

A

Question 2

Determine the Median of a Variable from Raw Data
The annual profits of ten internet businesses are listed below. Find the mean and median profits. Round the median to the nearest dollar. Which measure- the mean or the median- best represents the data Explain your reasoning.

Answer 2

mean: $315,767; median: $175,195; the median

Question 3

Provide an appropriate response.

Answer 3

A

Question 4

Determine the Median of a Variable from Raw Data
The number of students enrolled in a physics class for the last ten semesters are listed below. Find the median number of students.

Question 5

Determine the Median of a Variable from Raw Data
The number of homework points earned by twelve students in a history class over one term are listed below. Find the mean and median number of points. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data Explain your reasoning.

Question 6

The heights of ten male students (in inches) in a college biology class are listed below. Find the mean.

Question 7

Provide an appropriate response.
Describe the shape of the histogram. The data set: Pick-Three lottery results for 10 consecutive weeks

Question 8

Provide an appropriate response.
Describe the shape of the histogram. The data set: age of 20 household stereo systems randomly selected from a neighborhood

Question 9

Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars): Calculate the mean amount spent.

A) 39.01 million dollars
B) 19.84 million dollars
C) 393.71 million dollars
D) 50.70 million dollars

Question 10

The heights of ten female students (in inches) in a college math class are listed below. Find the mean.

Question 11

Determine the Median of a Variable from Raw Data
The following data represents a random sample of 15 complaints registered with the customer service department of a store. Determine the median complaint.

Question 12

Question 13

Determine the Median of a Variable from Raw Data
Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (in millions of dollars):

Question 14

Determine the Median of a Variable from Raw Data
The commuting times (in minutes) of an employee for ten consecutive days are listed below. Find the median commute.

Question 15

Question 16

Question 17

Determine the Median of a Variable from Raw Data
The number of yards that a football player rushed in the first 13 games of his NFL career are listed below. Find the mean and median number of yards rushed. Round the mean to the nearest whole number. Which measure of central tendency-the mean or the median-better represents the data Explain your reasoning.

Question 18

Provide an appropriate response.
In distributions that are skewed to the right, what is the relationship of the mean, median, and mode

Question 19

Determine the Median of a Variable from Raw Data
The median of a data set for a variable is the data value that

A) Lies in the middle of the data when the data is arranged in ascending order.
B) Appears the most often
C) Is the average, that is, the sum of all the data values of the variable divided by the number of observations
D) None of these

Question 20

Provide an appropriate response.
The distribution of salaries of professional basketball players is skewed to the right. Which measure of central tendency would be the best measure to determine the location of the center of the distribution

A) median
B) mode
C) mean
D) frequency

Question 21

Provide an appropriate response.
If the graph of a distribution of data shows that the graph is symmetric then the

A) Mean is a better measure of central tendency
B) Median is a better measure of central tendency
C) Mode is a better measure of central tendency
D) Midrange is a better measure of central tendency

Question 22

Provide an appropriate response.
If the graph of a distribution of data shows that the graph is skewed to the left then the

Question 23

Provide an appropriate response.
The annual profits of five large corporations in a certain area are given below. Which measure of central tendency should be used

A) median
B) mean
C) mode
D) midrange

Question 24

Determine the Mode of a Variable from Raw Data

Question 25

Determine the Mode of a Variable from Raw Data
Calculate the mean, median, and mode for the following sample:

Question 26

Determine the Mode of a Variable from Raw Data
Calculate the mean, median, and mode for the following sample:

Question 27

Determine the Mode of a Variable from Raw Data
Find the mean, median, and mode of the following statistic students test scores:

Question 28

Determine the Mode of a Variable from Raw Data

Question 29

Provide an appropriate response.
Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the right

A) Median
B) Mean
C) Mode
D) Midrange

Question 30

Determine the Mode of a Variable from Raw Data
The accompanying data set contains quiz scores for 12 students in a chemistry class: a. Find a measure of central tendency that separates the data into two groups such that each group consists of 50% of the scores above and 50% of the scores below that measure. b. Find a measure of central tendency that represents the quiz score that occurs most often. c. Find a measure of central tendency that represents the average of the 12 quiz scores.

Question 31

Provide an appropriate response.
In distributions that are skewed to the left, what is the relationship of the mean, median, and mode

Question 32

Determine the Mode of a Variable from Raw Data

Question 33

Provide an appropriate response.
The output below gives the mean and median for the national dropout rates for high school students in 1982 and 1984. Use the sample information to determine the shape of the distributions of the high school dropout rates in 1982 and 1984.

Question 34

Provide an appropriate response.
Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the left

A) Median
B) Mean
C) Mode
D) Midrange

Question 35

Provide an appropriate response.
A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought s effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): Which measure of central tendency would be considered the best measure to use in this problem

A) mean
B) median
C) mode
D) range

Question 36

Provide an appropriate response.
Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 270 students and carefully recorded their parking times. The parking times recorded followed a distribution that was skewed to the left. Based on this information, discuss the relationship between the mean and the median for the 270 student parking times collected.

Question 37

Determine the Mode of a Variable from Raw Data
The commuting times of ten employees (in minutes) are listed below. Find the mode score.

Question 38

Provide an appropriate response.
Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean of the test scores is 70. Additional information indicated that the median of the test scores was 76. What type of distribution most likely describes the shape of the test scores

A) skewed to the left
B) symmetric
C) skewed to the right
D) unable to determine with the information given

Question 39

Determine the Mode of a Variable from Raw Data
The February utility bills (in dollars) for ten residents of a large city are listed below. Find the mode amount.

Question 40

Provide an appropriate response.
If the graph of a distribution of data shows that the graph is skewed to the right then the

Question 41

Compute the Range of a Variable from Raw Data

Question 42

Compute the Range of a Variable from Raw Data

Question 43

Compute the Range of a Variable from Raw Data

Question 44

Compute the Range of a Variable from Raw Data

Question 45

Compute the Range of a Variable from Raw Data

Question 46

Compute the Range of a Variable from Raw Data

Question 47

Compute the Range of a Variable from Raw Data

Question 48

Determine the Mode of a Variable from Raw Data
Which measure of central tendency may not exist for all numeric data sets

A) Mode
B) Median
C) Mean
D) Midrange

Question 49

Compute the Range of a Variable from Raw Data

Question 50

Determine the Mode of a Variable from Raw Data
Which measure of central tendency is not resistant to extreme values in a numeric data set

A) Mean
B) Mode
C) Median
D) Parameters

Question 51

Provide an appropriate response.

Question 52

Compute the Range of a Variable from Raw Data

Question 53

Determine the Mode of a Variable from Raw Data
The ________ of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum by the number of observations in the data set.

A) Arithmetic mean
B) Median
C) Mode
D) Geometric mean

Question 54

Determine the Mode of a Variable from Raw Data
Which measure of central tendency may have more than one value in a numeric data set

A) Mode
B) Median
C) Mean
D) Midrange

Question 55

Compute the Range of a Variable from Raw Data

Question 56

Compute the Range of a Variable from Raw Data

Question 57

Provide an appropriate response.
The ages of five randomly selected students in the biology department at a private university are 27, 26, 32, 18, and 19. Calculate the sample variance of these ages.

Question 58

Compute the Range of a Variable from Raw Data

Question 59

Determine the Mode of a Variable from Raw Data
The following data represent the bachelor degrees of CEO s at area small businesses. Determine the mode degree.

Question 60

Determine the Mode of a Variable from Raw Data
The following data represent a random sample of 15 complaints registered with the customer service department of a store. Determine the mode complaint.

Question 61

Provide an appropriate response.
Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In the first 6 months of 1988, advertisers spent $1.1 billion. Who were the largest spenders In a recent article, listed the top 10 leading spenders (in million of dollars): Calculate the sample variance.

A) 413.26
B) 20.33
C) 39.04
D) 51.70

Question 62

Compute the Standard Deviation of a Variable from Raw Data
8, 19, 20, 13, 14, 18, 19, 5, 10, 23

A) 5.9
B) 5.5
C) 1.7
D) 5.4

Question 63

Compute the Standard Deviation of a Variable from Raw Data
149, 106, 114, 293, 106, 162, 224, 226, 230

A) 67.0
B) 63.2
C) 4487.9
D) 3989.2

Question 64

Provide an appropriate response.
The variance of a population is the arithmetic average of the squared deviations about the population mean.

Question 65

Compute the Standard Deviation of a Variable from Raw Data

Question 66

Provide an appropriate response.
In the computation of the sample standard variance, how many degrees of freedom are there in a data set that has 15 data values

A) 14
B) 15
C) 16
D) none of these

Question 67

Compute the Standard Deviation of a Variable from Raw Data
8, 7, 7, 7, 12, 11, 14, 16, 14

A) 3.5
B) 3.3
C) 12.5
D) 11.1

Question 68

Compute the Standard Deviation of a Variable from Raw Data

Question 69

Provide an appropriate response.
A statistic is said to be biased if it

A) Systematically underestimates or overestimates a parameter
B) Has exactly the same value as the parameter
C) Is determined from a trimmed sample
D) Leads to an erroneous conclusion about the sample

Question 70

Compute the Standard Deviation of a Variable from Raw Data

Question 71

Provide an appropriate response.
Variance is the square root of standard deviation.

Question 72

Provide an appropriate response.
For the data set given below the sample variance will be computed. How many degrees of freedom are there

A) 8
B) 9
C) 1
D) 10

Question 73

Compute the Standard Deviation of a Variable from Raw Data

Question 74

Compute the Standard Deviation of a Variable from Raw Data
Last year batting averages in professional baseball averaged 0.261 with a high of 0.333 and a low of 0.224 (minimum 250 at-bats). Based on this information, which measure of variation could be calculated

A) range
B) variance
C) standard deviation
D) percentile

Question 75

Compute the Standard Deviation of a Variable from Raw Data

Question 76

Compute the Standard Deviation of a Variable from Raw Data
3, 3, 14, 11, 11, 20, 14, 10, 14

A) 5.4
B) 5.1
C) 29.6
D) 26.3

Question 77

Compute the Standard Deviation of a Variable from Raw Data
Which is not a measure of dispersion

A) Mean
B) Standard deviation
C) Variance
D) Range

Question 78

Compute the Standard Deviation of a Variable from Raw Data

Question 79

Compute the Standard Deviation of a Variable from Raw Data
81, 75, 44, 63, 42, 30, 64, 76, 88

A) 19.9
B) 17.8
C) 350.2
D) 315.2

Question 80

Compute the Standard Deviation of a Variable from Raw Data