Questions -
(1) A call center manager of a local company is studying how long it takes her employees to service customers who call in to order the company's products. She samples 10 of her 35 employees and finds the following times (in minutes): 8, 12, 5, 14, 6, 18, 5, 9, 16, and 5.
What is the arithmetic mean of the sample?
What is the median of the sample?
What is the mode of the sample?
What is the standard deviation of the sample?
(2) A researcher is studying the annual household income of residents of a small city in Arkansas. He finds the following information from a sample of residents:
sample mean: $37,000
sample median: $38, 700
sample standard deviation: $11,000
Based upon the sample information, what incomes sit at the plus and minus one standard deviation positions?
Based upon the sample information, what income sits at plus 1.5 standard deviations?
Based upon the sample information, what income sits at minus 1.37 standard deviations?
(3) A book store owner is trying to understand which age group is more likely to buy a beverage such as coffee or hot chocolate during their visit to the store. She arranges her study into classes so that she can have a frequency distribution of the data. She finds the following:
age group # who bought beverage
16-20 4
21-25 11
26-30 14