Applied Quantitative Methods Question 2022

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Applied Quantitative Methods
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Applied Quantitative Methods
Question 1
a. Frequency distribution for both types of restaurant.
 Class width for the city restaurant
CW = Max −min
class interval
CW = 92−27
10 =6.5 ≅7
The Frequency distribution for the city restaurant is illustrated in
the figure below:
 Class width for the suburban restaurant:
CW = Max −min
class interval
CW = 91−29
10 =6.2≅ 7
The Frequency distribution for the city restaurant is illustrated in
the figure
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b. The histogram for both types of restaurants
 Histogram for the city restaurant.
 Histogram for the suburban restaurant
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c. The mean, median, mode for both types of the restaurants
The mean is the average value of the distribution, the mode is the
most occurring value and the median is the center value of the
distribution (Levie, 2018). The values of this measures for both the
restaurants are summarized in the table below:
Question 2
a. The dataset collected by the manager is a sample since it indicates
the annual advertising expenditure and the annual sales of selected
products from the supermarket rather than all the products. A sample
is group of data that is a representative of the population while a
population is all the data collected from all the individuals to be
studied.
b. The standard deviation
The standard deviation of the sample is given by:
σ = √ ∑ (x−μ)2
n−1
The values to be substituted in the equation are represented in the
equation below:
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