Question

In: Economics

US Bank has recorded the number of customers who used a downtown ATM during the noon...

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?

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