Deck 2: Descriptive Statistics

Question 1

Which of the following are necessary to be determined to define the classes for a frequency distribution with quantitative data?

A)Number of nonoverlapping bins, width of each bin, and bin limits
B)Width of each bin and bin lower limits
C)Number of overlapping bins, width of each bin, and bin upper limits
D)Width of each bin and number of bins

Answer 1

Number of nonoverlapping bins, width of each bin, and bin limits

Question 2

The data collected from the customers in restaurants about the quality of food is an example of a(n) ​

A)variable study.
B)cross-sectional study.
C)experimental study.
D)observational study.

Answer 2

observational study.

Question 3

The act of collecting data that are representative of the population data is called

A)random sampling.
B)sample data.
C)population sampling.
D)sources of data.

Answer 3

random sampling.

Question 4

The difference in a variable measured over observations (time, customers, items, etc.) is known as

A)observed differences.
B)variation.
C)variable change.
D)descriptive analytics.

Question 5

When working with large spreadsheets with many rows of data, it can be helpful to __________ the data to better find, view, or manage subsets of data.

A)split
B)sort and filter
C)chart
D)manipulate

Question 6

The amount of time taken by each of 10 students in a class to complete an exam is an example of what type of data? ​

A)Cannot be determined
B)Categorical data
C)Time series data
D)Quantitative data

Question 7

In a(n) __________, one or more variables are identified and controlled or manipulated so that data can be obtained about how they influence the variable of interest identified first.

A)experimental study
B)observational study
C)categorical study
D)variable study

Question 8

_______________ acts as a representative of the population.

A)The variable
B)The variance
C)A sample
D)A random variable

Question 9

Compute the relative frequencies for the data given in the table below:

$\begin{array} { c | c } \text { Grades } & \begin{array} { c } \text { Number of } \\\text { students }\end{array} \\\hline \text { A } & 16 \\\text { B } & 28 \\\text { C } & 33 \\\text { D } & 13 \\\hline \text { Total } & 90\end{array}$

A) $0.31,0.14,0.37,0.18$
B) $0.37,0.14,0.31,0.18$
C) $0.16,0.28,0.33,0.13$

D) $0.18,0.31,0.37,0.14$

Question 10

A set of values corresponding to a set of variables is defined as a(n)

A)quantity.
B)event.
C)factor.
D)observation.

Question 11

A __________ is a graphical summary of data previously summarized in a frequency distribution.

A)box plot
B)histogram
C)line chart
D)scatter chart

Question 12

Data collected from several entities over a period of time (minutes, hours, days, etc.) are called

A)categorical and quantitative data.
B)time series data.
C)source data.
D)cross-sectional data.

Question 13

When working with data sets in Excel, __________ can be used to automatically highlight cells that meet specified requirements.

A)averaging
B)conditional formatting
C)summing
D)sorting

Question 14

A quantity of interest that can take on different values is known as a(n)

A)variable.
B)parameter.
C)sample.
D)observation.

Question 15

The letter grades (A, B, C, D, F) of business analysis students are recorded by a professor. This variable's classification

A)is quantitative data.
B)cannot be determined.
C)is categorical data.
D)is time series data.

Question 16

A summary of data that shows the number of observations in each of several nonoverlapping bins is called a(n) ​

A)frequency distribution.
B)sample summary.
C)bin distribution.
D)observed distribution.

Question 17

The goal regarding using an appropriate number of bins is to show the

A)number of observations.
B)number of variables.
C)variation in the data.
D)correlation in the data.

Question 18

Consider the data below. What percentage of students scored grade C?

$\begin{array} { c | c } \text { Grades } & \begin{array} { c } \text { Number of } \\\text { students }\end{array} \\\hline \text { A } & 16 \\\text { B } & 28 \\\text { C } & 33 \\\text { D } & 13 \\\hline \text { Total } & 90\end{array}$

A) $33 \%$
B) $31 \%$
C) $37 \%$
D) $28 \%$

Question 19

Which of the following gives the proportion of items in each bin?

A)Frequency
B)Class size
C)Relative frequency
D)Bin proportion

Question 20

__________ are collected from several entities at the same point in time.

A)Time series data
B)Categorical and quantitative data
C)Cross-sectional data
D)Random data

Question 21

The __________ is a point estimate of the population mean for the variable of interest.

A)sample mean
B)median
C)sample
D)geometric mean

Question 22

The correlation coefficient will always take values

A)greater than 0.
B)between -1 and 0.
C)between -1 and +1.
D)less than -1.

Question 23

Compute the geometric mean for the following data on growth factors of an investment for 10 years. 1.10, 0.50, 0.70, 1.21, 1.25, 1.12, 1.16, 1.11, 1.13, 1.22

A)1.0221
B)1.0148
C)1.0363
D)1.1475

Question 24

If covariance between two variables is near 0, it implies that

A)a positive relationship exists between the variables.
B)the variables are not linearly related.
C)the variables are negatively related.
D)the variables are strongly related.

Question 25

Which of the following graphs provides information on outliers and IQR of a data set?

A)Histogram
B)Line chart
C)Scatter chart
D)Box plot

Question 26

Identify the shape of the distribution in the figure below.

A)Skewed left
B)Symmetric
C)Approximately bell shaped​
D)Skewed right

Question 27

A __________ determines how far a particular value is from the mean relative to the data set's standard deviation.

A)coefficient of variation
B)z-score
C)variance
D)percentile

Question 28

Compute the coefficient of variation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

A)18.64%
B)21.36%
C)20.28%
D)21.67%

Question 29

For data having a bell-shaped distribution, approximately __________ percent of the data values will be within one standard deviation of the mean.

A)95
B)66
C)68
D)97

Question 30

Compute the 50^th percentile for the following data. 10, 15, 17, 21, 25, 12, 16, 11, 13, 22

A)18.6
B)13.3
C)15.5
D)17.7

Question 31

Compute the median of the following data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

A)28
B)31
C)40
D)34

Question 32

Compute the IQR for the following data. 10, 15, 17, 21, 25, 12, 16, 11, 13, 22

A)6.25
B)7.75
C)5.14
D)9.50

Question 33

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)

A)2
B)41.64
C)-2
D)1.33

Question 34

Any data value with a z-score less than -3 or greater than +3 is considered to be a(n)

A)outlier.
B)statistic.
C)whisker.
D)z-score value.

Question 35

The __________ shows the number of data items with values less than or equal to the upper class limit of each class.

A)cumulative frequency distribution
B)frequency distribution
C)percent frequency distribution
D)relative frequency distribution

Question 36

Compute the third quartile for the following data. 10, 15, 17, 21, 25, 12, 16, 11, 13, 22

A)21.25
B)15.5
C)21.5
D)11.75

Question 37

Use technology to compute the standard deviation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

A)5.96
B)6.41
C)5.42
D)6.75

Question 38

Compute the mode for the following data. 12, 16, 19, 10, 12, 11, 21, 12, 21, 10

A)21
B)11
C)12
D)10

Question 39

The variance is based on the

A)deviation about the median.
B)number of variables.
C)deviation about the mean.
D)correlation in the data.

Question 40

The simplest measure of variability is the

A)variance.
B)standard deviation.
C)coefficient of variation.
D)range.

Question 41

Which graph represents a negative linear relationship between x and y? ​ ​
​

A)A
B)B
C)C
D)None of the graphs display a negative linear relationship.

Question 42

Below is a histogram for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. What is the bin size for the histogram? ​ ​

A)3
B)4
C)16
D)5

Question 43

You have been asked to reorganize the Excel table below into order of sales using the Sales column. Which option will allow you to do this quickly? ? $\begin{array}{llllcccc}\text { Customer ID } & \text { First } & \text { Last } & \text { Sales } & \text { Quantity } & \text { Discount } &{\text { Profit }} \\\text { CG-12520 } & \text { Claire } & \text { Gute } & \$ 261.96 & 2 & 0 & \$ 41.91 \\\text { DV-13045 } & \text { Darrin } & \text { VanHuff } & \$ 14.62 & 2 & 0 & \$ 16.87 \\\text { SO-20335 } & \text { Sean } & \text { ODonnell } & \$ 957.58 & 5 & 0.45 & \$ (383.03)\\\text { BH-11710 } & \text { Brosina } & \text { Hoffman } & \$ 48.86 & 7 & 0 & \$ 14.17 \\\text { AA-10480 } & \text { Andrew } & \text { Allen } & \$ 25.55 & 3 & 0.2 & \$ 5.44 \\\text { IM-15070 } & \text { Irene } & \text { Maddox } & \$ 407.98 & 3 & 0.2 & \$ 132.59\\\text { HP-14815 } & \text { Harold } & \text { Pawlan } & \$ 68.81 & 5 & 0.8 & {(123.86)} \\\text { PK-19075 } & \text { Pete } & \text { Kriz } & \$ 665.88 & 6 & 0 & \$ 13.32 \\\text { AG-10270 } & \text { Alejandro } & \text { Grove } & \$ 55.50 & 2 & 0 & \$ 9.99 \\\text { ZD-21925 } & \text { Zuschuss } & \text { Donatelli } & \$ 8.56 & 2 & 0 & \$ 2.48\end{array}$ ?
?

A)Use the Cut and Paste function to reorganize the data into order of sales.
B)Use the Filter function to organize the data into order of sales.
C)Use the Order function to organize the data into order of sales.
D)Use the Sort function to organize the data into order of sales.

Question 44

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. Nash's test. Which student has the higher standardized score?

A)David's standardized score is -1.64 and Steven's standardized score is -2.00. Therefore, David has the higher standardized score.
B)David's standardized score is -1.64 and Steven's standardized score is -2.00. Therefore, Steven has the higher standardized score.
C)David's standardized score is 1.64 and Steven's standardized score is 2.00. Therefore, Steven has the higher standardized score.
D)Cannot be determined with the information provided.

Question 45

Which Excel command will return all modes when more than one mode exists? ​

A)MODE.MULT
B)MODE.SNGL
C)MODE
D)MODES

Question 46

Compute the relative frequency for students who earned a C shown in the table of grades below. ? $$\begin{array} { l | c } \text { Grades } & \text { Number of Students } \\\hline \mathrm { A } & 10 \\\mathrm {~B} & 31 \\\mathrm { C } & 36 \\\mathrm { D } & 6 \\\hline & \mathbf { 8 3 }\end{array}$$ ?

A)0.43
B)0.53
C)0.83
D)Not enough information

Question 47

What is the total relative frequency? ? $$\begin{array}{l}\text { 20XX Contest Sales }\\\begin{array}{l|c|c}\hline \text { Salesman } & \text { Frequency } & \text { Relative Frequency } \\\hline \text { Frances Clonts } & 15 & 0.05 \\\text { Sarah Leigh } & \mid 184 & 0.62 \\\text { Devon Pride } & 37 &\\\\\\\text { John Townes } & 62 & 0.21 \\\hline \text { Total } & \mathbf{2 9 8} &\end{array}\end{array}$$

A)1
B)99.12
C)0.88
D)Not enough information

Question 48

Below is a histogram for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. What is the relative frequency of the 21-24 bin? ​ ​

A)0.05
B)0.14
C)0.25
D)2.5

Question 49

James's manager asked him to sort the last names in the following list in descending order. What does this mean? ? $\begin{array}{llllcccc}\text { Customer ID } & \text { First } & \text { Last } & \text { Sales } & \text { Quantity } & \text { Discount } &{\text { Profit }} \\\text { CG-12520 } & \text { Claire } & \text { Gute } & \$ 261.96 & 2 & 0 & \$ 41.91 \\\text { DV-13045 } & \text { Darrin } & \text { VanHuff } & \$ 14.62 & 2 & 0 & \$ 16.87 \\\text { SO-20335 } & \text { Sean } & \text { ODonnell } & \$ 957.58 & 5 & 0.45 & \$ (383.03)\\\text { BH-11710 } & \text { Brosina } & \text { Hoffman } & \$ 48.86 & 7 & 0 & \$ 14.17 \\\text { AA-10480 } & \text { Andrew } & \text { Allen } & \$ 25.55 & 3 & 0.2 & \$ 5.44 \\\text { IM-15070 } & \text { Irene } & \text { Maddox } & \$ 407.98 & 3 & 0.2 & \$ 132.59\\\text { HP-14815 } & \text { Harold } & \text { Pawlan } & \$ 68.81 & 5 & 0.8 & {(123.86)} \\\text { PK-19075 } & \text { Pete } & \text { Kriz } & \$ 665.88 & 6 & 0 & \$ 13.32 \\\text { AG-10270 } & \text { Alejandro } & \text { Grove } & \$ 55.50 & 2 & 0 & \$ 9.99 \\\text { ZD-21925 } & \text { Zuschuss } & \text { Donatelli } & \$ 8.56 & 2 & 0 & \$ 2.48\end{array}$ ?
?

A)The last names must be sorted from A to Z.
B)The last names must be sorted from Z to A.
C)The last names must be sorted from the earliest to the latest that has been added to the list.
D)James should use the Sort function to organize the data into order of sales.

Question 50

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 9. Steve has a score of 52. Convert Steve's score to a z-score. (Round to two decimal places if necessary.)

A)1.33
B)58.2
C)-2
D)-1.33

Question 51

Compute the relative frequency for students who earned an A shown in the table of grades below. ? $$\begin{array} { l | c } \text { Grades } & \text { Number of Students } \\\hline \text { A } & 10 \\\text { B } & 31 \\\text { C } & 36 \\\text { D } & 6 \\\hline & \mathbf { 8 3 }\end{array}$$ ?

A)0.12
B)0.10
C)0.83
D)Not enough information

Question 52

What is the mode of the data set given below? ​
35, 47, 65, 47, 22
​

A)47.5
B)47
C)65
D)22

Question 53

The College Board reported that the mean Math Level 2 SAT subject test score was 686 with a standard deviation of 96. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 494.

A)97.5%
B)95%
C)2.5%
D)5%

Question 54

A sample of 13 adult males' heights are listed below. ​
70, 72, 71, 70, 69, 73, 69, 68, 70, 71, 67, 71, 74
​
Find the range of the data.
​

A)7
B)6.5
C)5
D)4

Question 55

Select the histogram that is moderately skewed right. ​ ​

A)A
B)B
C)C
D)D

Question 56

Below is a histogram for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. What is the frequency of the 25-28 bin? ​ ​

A)0.05
B)1
C)0.5
D)4

Question 57

Below is the data for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. ​
56, 42, 37, 29, 45, 51, 30, 25, 34, 57
​
What is the median number of days that it took Wyche Accounting to perform audits in the last quarter of last year?
​

A)41
B)40.6
C)39.5
D)42

Question 58

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400.

A)16%
B)68%
C)84%
D)32%

Question 59

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.

A)97.5%
B)95%
C)2.5%
D)5%

Question 60

In a survey of patients in a local hospital, 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient. Who makes up the population? ​

A)All patients in a local hospital
B)All survey respondents
C)Hospital patients
D)Cannot be determined from the information given

Question 61

In a survey of patients in a local hospital, 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient. Who makes up the sample? ​

A)All patients in a local hospital
B)All survey respondents
C)Hospital patients
D)Cannot be determined from the information given

Question 62

The distribution of hourly sales for a local family owned store is normally distributed with a mean of $225 per hour and a standard deviation of $75 per hour. Which of the following intervals contains the middle 95% of hourly sales?

A)$75 to $375
B)$150 to $300
C)$175 to $275
D)$125 to $325

Question 63

Which of the following relationships would have a negative correlation coefficient?

A)Supply and demand
B)Amount of a bill at a restaurant and the amount of the tip
C)Cost of a car and the amount of tax to be paid
D)The square footage of a home and the price of the home

Question 64

A manager of a fast food restaurant wants the drive-thru employee to ask every fifth customer if he or she is satisfied with the service. Who makes up the population?

A)All customers who use the drive-thru window of this fast food restaurant
B)All survey respondents
C)All customers of this restaurant
D)The proportion of customers who say they are satisfied with their service

Question 65

A manager of a fast food restaurant wants the drive-thru employee to ask every fifth customer if he or she is satisfied with the service. Who makes up the sample?

A)All customers who use the drive-thru window of this fast food restaurant
B)All survey respondents
C)All customers of this restaurant
D)The proportion of customers who say they are satisfied with their service