Question 1

When calculating a mean deviation for a grouped frequency distribution which value should be used in the calculation?

Accepted Answer

A)  Lower bound 
B)  Upper bound 
C)  Midpoint 
D)  Width 
A)  Lower bound 
B)  Upper bound 
C)  Midpoint 
D)  Width C

Question 2

Which of these statements relating to skewness is NOT true?

Accepted Answer

A)  The direction of the skew is determined by the long tail of the distribution 
B)  We expect salaries to have a left skew 
C)  The direction of skew can be seen by comparing the mean and mode 
D)  The size of the difference between mean and mode gives an indication of how skewed the data is 
A)  The direction of the skew is determined by the long tail of the distribution 
B)  We expect salaries to have a left skew 
C)  The direction of skew can be seen by comparing the mean and mode 
D)  The size of the difference between mean and mode gives an indication of how skewed the data is B

Question 3

A bookshop records how many copies of a Statistics textbook are sold each day for a week. The results are: 4, 5, 1, 2, 0, 8, 5. What is the range of this set of data?

Accepted Answer

A)  5 
B)  3.6 
C)  8 
D)  4 
A)  5 
B)  3.6 
C)  8 
D)  4 C

Question 4

Which measurement of a data set gives information about whether data is distributed symmetrically?

Accepted Answer

A)  Location 
B)  Dispersion 
C)  Skewness 
D)  Reliability 
A)  Location 
B)  Dispersion 
C)  Skewness 
D)  Reliability

Question 5

Which of these statements about the range IS true?

Accepted Answer

A)  It is often used in advanced statistical analysis 
B)  It is not affected by extreme high or low values 
C)  It is easy to calculate and understand 
D)  It cannot be easily charted 
A)  It is often used in advanced statistical analysis 
B)  It is not affected by extreme high or low values 
C)  It is easy to calculate and understand 
D)  It cannot be easily charted

Question 6

A corner shop makes a note of the number of shopping bags used by customers during the course of one day. The following frequency distribution is produced [number of bags(frequency)]: 0(8); 1(26); 2(24); 3(6); 4(1). Calculate the mean deviation (2 decimal places).

Accepted Answer

A)  1.48 
B)  0.63 
C)  1.25 
D)  0.75 
A)  1.48 
B)  0.63 
C)  1.25 
D)  0.75

Question 7

Which base for measuring the spread of data is associated with the median?

Accepted Answer

A)  Range 
B)  Standard Deviation 
C)  Quartile Deviation 
D)  Mean Deviation 
A)  Range 
B)  Standard Deviation 
C)  Quartile Deviation 
D)  Mean Deviation

Question 8

Which of the following statements about the mean deviation is NOT true?

Accepted Answer

A)  The mean deviation is useful for comparing data sets that are similar 
B)  The mean deviation is easy to handle theoretically and commonly used in further analysis 
C)  It can be awkward to calculate if the mean is not a whole number 
D)  The mean deviation must always be calculated using absolute value of values in the data set 
A)  The mean deviation is useful for comparing data sets that are similar 
B)  The mean deviation is easy to handle theoretically and commonly used in further analysis 
C)  It can be awkward to calculate if the mean is not a whole number 
D)  The mean deviation must always be calculated using absolute value of values in the data set

Question 9

Which measurement of a data set gives information about how spread out the data is?

Accepted Answer

A)  Location 
B)  Dispersion 
C)  Skewness 
D)  Reliability 
A)  Location 
B)  Dispersion 
C)  Skewness 
D)  Reliability

Question 10

Calculate the mean deviation for the following set of data: 2, 8, 3, 1, 5, 6, 3

Accepted Answer

A)  2 
B)  4 
C)  3 
D)  5 
A)  2 
B)  4 
C)  3 
D)  5

Exam 9: Measures of Dispersion and Skewness

When calculating a mean deviation for a grouped frequency distribution which value should be used in the calculation?

Which of these statements relating to skewness is NOT true?

A bookshop records how many copies of a Statistics textbook are sold each day for a week. The results are: 4, 5, 1, 2, 0, 8, 5. What is the range of this set of data?

Which measurement of a data set gives information about whether data is distributed symmetrically?

Which of these statements about the range IS true?

A corner shop makes a note of the number of shopping bags used by customers during the course of one day. The following frequency distribution is produced [number of bags(frequency)]: 0(8); 1(26); 2(24); 3(6); 4(1). Calculate the mean deviation (2 decimal places).

Which base for measuring the spread of data is associated with the median?

Which of the following statements about the mean deviation is NOT true?

Which measurement of a data set gives information about how spread out the data is?

Calculate the mean deviation for the following set of data: 2, 8, 3, 1, 5, 6, 3

Introduction to Business Mathematics and Statistics

Sampling and Data Collection

Data and Their Accuracy

Frequency Distributions and Charts

General Charts and Graphs

Arithmetic Mean

Median

Mode and Other Measures of Location

Standard Deviation

Quantiles and the Quartile Deviation

Linear Functions and Graphs

Regression Techniques

Correlation Techniques

Time Series Model

Time Series Trend

Seasonal Variation and Forecasting

Index Relatives

Composite Index Numbers

Special Published Indices

Interest and Depreciation

Present Value and Investment Appraisal

Annuities

Functions and Graphs

Linear Equations

Quadratic and Cubic Equations

Differentiation and Integration

Cost, Revenue and Profit Functions

Set Theory and Enumeration

Introduction to Probability

Conditional Probability and Expectation

Combinations and Permutations

Binomial and Poisson Distributions

Normal Distribution

Linear Inequalities

Matrices

Inventory Control

Network Planning and Analysis

Filters