Applied Quantitative Methods Assignment 2

APPLIED QUANTITATIVE METHODS
ASSIGNMENT 2
Student Name
[Pick the date]

Question 1
(a) A frequency distribution (Total number of passengers at train station: Melbourne)
has been obtained from the given data and presented in the tabular manner.
(a) Frequency histogram (through excel) has been obtained for the above data and
pasted below.
(b) The mean, median and mode for raw data
Data in Ascending order – Sorted
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Mean
Sample size (n) = 60
Total of the sample data points = 58594
Mean of data = 58594/60 = 976.57
Median
Median = ½ {(n/2) value + ((n/2) +1) value} = ½ {(30th value +31st value} = ½
(733+862=797.5
Mode
Maximum occurred number is 401 and thus, it would be the mode of the data.
Question 2
(a) The data that has been given in the question clearly highlights that it corresponds to
only a few of the weeks. The population data would correspond to all the
observations and thereby would have given data for all the 52 weeks present in a
year. However, the data provided only provide information about some selective
weeks and thereby would be declared as sample (Medhi, 2016).
(b) Calculation of standard deviation: weekly attendance
Mean of sample ( = 3392 / 7= 484.57
Standard deviation of sample = ට 1
N− 1 σ (x − xത) 2 = ට 1
7− 1 × (32909.714) = 74.06
(c) Calculation of Inter Quartile Range: Number of chocolate bars sold
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