Data Analytics - INFOU796 - Chapter 2 Quiz
Consider a sample on the waiting times (in minutes) at the billing counter in a grocery store to be 15, 24, 18, 15, 21, 20, 15, 22, 19, 16, 15, 22, 20, 15, and 21. Compute the 25th, 50th, and 75th percentiles.
25th percentile = 15 50th percentile = 19 75th percentile = 21
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
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.
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
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
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.
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
Which Excel command will return all modes when more than one mode exists?
A: MODE.MULT** B: MODE.SNGL C: MODE D: MODES
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.
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
Consider a sample on the waiting times (in minutes) at the billing counter in a grocery store to be 15, 24, 18, 15, 21, 20, 15, 22, 19, 16, 15, 22, 20, 15, and 21. Compute the mean, median, and mode.
Mean = 18.53 Median = 19 Mode = 15
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
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
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
Compute the relative frequency for students who earned an A shown in the table of grades below. Grades Number of Students A 10 B 31 C 36 D 6 TOTAL: 83
A: 0.12** B: 0.10 C: 0.83 D: Not Enough Information
Compute the relative frequencies for the data given in the table below: Grades Number of students A 16 B 28 C 33 D 13 Total 90
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**
Compute the relative frequency for students who earned a C shown in the table of grades below. Grades Number of Students A 10 B 31 C 36 D 6 TOTAL: 83
A: 0.43** B: 0.53 C: 0.83 D: Not Enough Information
What is the total relative frequency? 20XX Contest Sales Salesman Frequency Relative Frequency Frances Clonts 15 0.05 Sarah Leigh 184 0.62 Devon Pride 37 XXX John Townes 62 0.21 Total: 298
A: 1** B: 99.12 C: 0.88 D: Not enough information
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
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**
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%
Compute the 50th 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
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%
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
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
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
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
Consider the data below. What percentage of students scored grade C? Grades Number of students A 16 B 28 C 33 D 13 Total 90
A: 33% B: 31% C: 37%** D: 28%
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
Compute the mean of the following data. 56, 42, 37, 29, 45, 51, 30, 25, 34, 57
A: 42.8 B: 52.1 C: 40.6** D: 39.4
What is the mode of the data set given below? 35, 47, 65, 47, 22
A: 47.5 B: 47** C: 65 D: 22
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**
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**
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
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
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%
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%
Select the histogram that is moderately skewed right.
A: A B: B** C: C D: D
If co-variance 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
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
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
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
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
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
A __________ is a graphical summary of data previously summarized in a frequency distribution.
A: Box plot B: Histogram** C: Line chart D: Scatter chart
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**
A student willing to participate in a debate competition is required to fill out a registration form. State whether each of the following information about the participant provides categorical or quantitative data. A: What is your birth month? B: Have you participated in any debate competition previously? C: If yes, in how many debate competitions have you participated so far? D: Have you won any of the competitions? E: If yes, how many have you won?
A: Categorical B: Categorical C: Quantitative D: Categorical E: Quantitative
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
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.
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
The scores of a sample of students in a Math test are 20, 15, 19, 21, 22, 12, 17, 14, 24, 16 and in a Stat test are 16, 12, 19, 17, 22, 14, 20, 21, 24, 15, 13. A: Compute the mean and median scores for both the Math and the Stat tests. B: Compare the mean and median scores computed in part a. Comment.
A: For Math test: Mean = 18 Median = 18 For Stat test: Mean = 17.5 Median = 17 B: The mean and the median scores for statistics are lower than that for mathematics. These lower values are because of an additional score 13 for statistics, which is lower than the mean and the median scores for mathematics.
Which of the following gives the proportion of items in each bin?
A: Frequency B: Class size C: Relative frequency** D: Bin proportion
A summary of data that shows the number of observations in each of several non overlapping bins is called a(n)
A: Frequency distribution** B: Sample summary C: Bin distribution D: Observed distribution
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
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**
Which of the following are necessary to be determined to define the classes for a frequency distribution with quantitative data?
A: Number of non overlapping 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
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.
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
A set of values corresponding to a set of variables is defined as a(n)
A: Quantity B: Event C: Factor D: Observation**
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.
The __________ is a point estimate of the population mean for the variable of interest.
A: Sample mean** B: Median C: Sample D: Geometric mean
Identify the shape of the distribution in the figure below.:
A: Skewed left B: Symmetric C: Approximately bell shaped D: Skewed right**
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
James's manager asked him to sort the last names in the following list in descending order. What does this mean?
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
_______________ acts as a representative of the population.
A: The variable B: The variance C: A sample** D: A random variable
__________ 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
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?
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**
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**
A quantity of interest that can take on different values is known as a(n)
A: Variable** B: Parameter C: Sample D: Observation
The simplest measure of variability is the...
A: Variance B: Standard deviation C: Coefficient of variation D: Range**
Suppose that you make a fixed deposit of $1,000 in Bank X and $500 in Bank Y. The value of each investment at the end of each subsequent year is provided in the table. Yr Bank X($) BankY($) 1 1,320 560 2 1,510 620 3 1,750 680 4 2,090 740 5 2,240 790 6 2,470 820 7 2,830 870 8 3,220 910 9 3,450 950 10 3,690 990 Which of the two banks provides a better return over this time period?
Bank X provides a better return when compared to Bank Y.
Suppose that the average time an employee takes to reach the office is 35 minutes. To address the issue of late comers, the mode of transport chosen by the employee is tracked: private transport (two-wheelers and four-wheelers) and public transport. The data on the average time (in minutes) taken using both a private transportation system and a public transportation system for a sample of employees are given below. Private Transport Public Transport 27 30 33 29 28 25 32 20 20 27 34 32 30 37 28 38 18 21 29 35 A: What are the mean and median travel times for employees using a private transport? What are the mean and median travel times for employees using a public transport? B: What are the variance and standard deviation of travel times for employees using a private transport? What are the variance and standard deviation of travel times for employees using a public transport? C: Comment on the results.
Travel times (in minutes) A: Using private transport: Mean = 27.9 Median = 28.5 Using public transport: Mean = 29.4 Median = 29.5 B: Using private transport: Variance= 27.43 Standard deviation = 5.24 Using public transport: Variance = 39.38 Standard deviation = 6.28 C: The travel times of employees using a private transport are less than those using a public transport.
