US Bank has recorded the number of customers who used a
downtown ATM during the noon hour (variable of interest) on 21
randomly selected workdays. The data is given below,
16, 17, 12, 27, 22, 28, 15, 16, 29, 22, 11, 19, 27, 23, 18,
24, 21, 11, 40, 42, 43.
Please show your complete manual work, use statistical
notations wherever possible, and do not classify the data in
answering the following questions.
a. Compute the Sample Average of customers using ATM during
the noon hour.
b. Compute the 85th percentile of the above raw data
(according to the procedure discussed, and explain what your answer
means in the context of this problem and plain English. No generic
definition please.
c. Compute the values of Sample Variance and Standard
Deviation of number of customers using ATM during the noon hour on
the randomly selected 21 weekdays.
d. Compute the values of 25th and 75th percentiles. Find the
value of Interquartile Deviation (range) of the above raw
data.
e. What is (are) the value of mode?
f. Compute the Coefficient of Skewness for the above raw data.
Explain what it means in the context of this problem.
g. Find the value of Coefficient of Variation for the above
raw data.
What could be the main objective US Bank for computing the
above sample summaries?