1. Raquel is enrolled in a computer course and one of the assignments is typing speed. She keeps track of the number of words she types in each minute. The results are shown in the table.

32 30 34 27 28 30
29 31 33 36 26 31
Explain whether the five-number summary shown below represents the data.
minimum: 26 first quartile: 27; median: 31 third quartile: 33 maximum: 36
A. The five-number summary shown is incorrect. The first quartile is actually 28.5, the median is 30.5, and the third quartile is 32.5.
B. The five-number summary shown is incorrect. The median is actually 30
and the maximum is 34
C. The five-number summary shown is incorrect. The minimum is actually 27 and the third quartile is 32
D. The five-number summary shown is incorrect. The first quartile is actually 27.5, the median is 31.5, and the third quartile is 33.5

2. An online retailer has two warehouses, M and N, where customers' orders are packaged and shipped. The number of orders per day for warehouse M has a mean of 1,417.31 and a standard deviation of 67.54. The mean number of orders per day is 1,505.39 for warehouse N with a standard deviation of 67.70. Explain how the number of orders per day for warehouse M compare to the number of order per day for warehouse N.(1 point)
A. The number of orders per day for warehouse M is about the same on average to the number of orders per day for warehouse N. The standard deviation for the number of orders per day in warehouse M is greater than the standard deviation for warehouse N.
B. The number of orders per day for warehouse N is greater on average than the number of orders per day for warehouse M. The standard deviation for the number of orders per day in warehouse N is about the same as in warehouse M.
C. The number of orders per day for warehouse N is less on average than the number of orders per day for warehouse M. The standard deviation for the number of orders per day in warehouse N is greater than the standard deviation in warehouse M.
D. The number of orders per day for warehouse M is greater on average than the number of orders per day for warehouse N. The standard deviation for the number of orders per day in warehouse N is about the same as in warehouse M.

1 answer

1. D. The five-number summary shown is incorrect. The first quartile is actually 27.5, the median is 31.5, and the third quartile is 33.5. (This can be determined by sorting the data and finding the median, which is the middle value. The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.)
2. B. The number of orders per day for warehouse N is greater on average than the number of orders per day for warehouse M. The standard deviation for the number of orders per day in warehouse N is about the same as in warehouse M. (This can be determined by comparing the means of the two warehouses, which shows that N has a higher average number of orders per day. The standard deviations can also be compared, which shows that they are very similar.)