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ISEE Upper Level
Quantitative Reasoning

Comparing Average and Standard Deviation in Complaint Data

Very Hard Quantitative Comparisons Data Interpretation

A data analyst is studying the number of customer complaints received at a service center over four consecutive months. The data is summarized in the table below:

MonthComplaints
January50
February70
March120
April80

To analyze the trend, the analyst computes the average number of complaints over these months and the standard deviation to understand the variation in the data. Determine the following statements regarding the average and the standard deviation:

Let $ ext{Average} = rac{ ext{Total Complaints}}{ ext{Number of Months}} $ and $ s = rac{1}{n-1} imes ext{Sum of Squares of Differences from Mean} $.

Which of the following statements is true?

Hint

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