Business Statistics (BUSS154)
QUIZ #1 (online)
I. True/False question (0.5 point each)
No.
2
Statement
T/F
A frequency distribution groups data into classes showing the number of T
observations in each class
T
In a bar chart, the heights of the bars represent the frequencies in each class
3
The 50th percentile of a distribution is the same as the mean of the distribution
1
4
5
6
7
8
9
10
11
12
13
14
15
16
F
The mean deviation is the sum of the absolute differences between each value F
and the median
T
A set of ordinal-, interval-, or ratio-level data have only one median
Descriptive statistics are used to find out something about a population based F
on a sample
A dot plot is useful for showing individual observations, the range of the data, T
and the shape of a distribution
The sum of the deviations from the mean for the set of numbers 𝑥1 , 𝑥2 , 𝑥3 , T
… , 𝑥𝑛 will equal zero
T
Pearson’s coefficient of skewness is a measure of a distribution’s symmetry
A store asks shoppers for their zip code to identify market areas. Zip codes F
are an example of ordinal data
The terms descriptive statistics and inferential statistics can be used F
interchangeably
In a company, the standard deviation of the ages of female employees is 6 F
years and the standard deviation of the ages of male employees is 6 years.
These statistics indicate that the distribution of age is the same for females
and males
To convert a frequency distribution to a relative frequency distribution, divide T
each class frequency by the sum of the class frequencies
F
The (measurement) unit of coefficient of variation follows the unit of variable
The order that runners finish in a race would be an example of continuous F
data
F
Extremely high or low scores affect the value of the median
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Business Statistics (BUSS154)
II. Quantitative problem
* Please show the major steps for the quantitative problems
17. Consider a sample with data values of 10, 27, 25, 20, 15, 30, 34, 28, and 25.
a) Show the box plot for the data (providing the five numbers required for a box plot) (2.5
points)
b) Assess the shape of distribution in terms of skewness. (1 point)
18. The results of a national survey showed that on average, adults sleep 6.9 hours per night.
Suppose that the standard deviation is 1.2 hours. Use Chebyshev’s theorem to calculate the
percentage of individuals who sleep between 5.1 and 8.7 hours. (1.5 points)
19. Based on a survey of 425 master’s programs in business administration, U.S. News & World
Report ranked the Indiana University Kelley Business School as the 20th best business program
in the country. The ranking was based in part on surveys of business school deans and corporate
recruiters. Each survey respondent was asked to rate the overall academic quality of the
master’s program on a scale 1 “marginal” to 5 “outstanding.” Use the following sample of
responses to compute the average score for the business school deans. (2 points)
Quality Assessment
5
4
3
2
1
Business School Deans
44
66
60
10
0
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Corporate Recruiters
31
34
43
12
0