Janelle collected data on the amount of time in minutes each person in a large s

Question

Janelle collected data on the amount of time in minutes each person in a large sample of customers spent in a local store. The data also included recording the gender of each customer. These data were used to generate the boxplots shown below. Which of the following statements are true? 1. FemaletH Male 0 10 20 30 40 50 60 70 80 90 Time Spent (in minutes) a) The range in the amount of time in minutes females in the sample of customers spent in the store is approximately 40 minutes b) The mean amount of time in minutes males in the sample of customers spent in the store is approximately c) The third quartile of the amount of time in minutes males in the sample of customers spent in the store is d) The interquartile range of the amount of time in minutes females in the sample of customers spent in the e) Approximately half of the males in the sample of customers spent at least as much time in the store as any 20 minutes. approximately 45 minutes. store is approximately 15 minutes. females in the sample of customers. A graph (not shown) of the selling prices of homes in a certain city for the month of April reveals that the distribution is skewed to the left. Which of the following statements is the most reasonable conclusion about the selling prices based on the graph? 2. a) The mean is greater than the median. b) The mean is the average of the first quartile and the third quartile. c) There are fewer selling prices between the first quartile and the median than there are between the median and the third quartile. d) There are more selling prices that are less than the mean than selling prices that are greater than the mean. e) The value of maximum minus third quartile is less than the value of first quartile minus minimum

Explanation / Answer

1)

Answer is e) Approximately half of the males in the sample of customer spent at least as much time in the store as any females in the sample of customer.

Explanation-

All the females customers lies below the median of males customer as is obvious from the above graph.So approximately half of the males in the sample of customer spent at least as much time in the store as any females in the sample of customer.

2)-

Answer is c) There are fewer selling prices between first quartile and median than there are between median and third quartile.

Explanation-

As its left skewed more data lies at the end then at the start.So there are fewer selling prices between first quartile and median than there are between median and third quartile.

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