Question

Hansel asked 40 members of the school orchestra how many minutes they spent practicing the previous weekend. He collected this data.

87, 105, 121, 86, 85, 112, 122, 115, 98, 95, 100, 105, 107, 93, 86, 72, 108, 123. 75, 100, 106, 115, 127, 128, 130, 118, 88, 73, 96, 98, 102, 121, 114, 120, 129, 89, 93, 112, 112, 84.

A) Sort the data into intervals, and record the results in a frequency table.
B) Represent the data in a histogram.
C) What does your graph show about the data set?

Answer 1

A) We can sort the data into intervals and create a frequency table as follows:

(first photo)

B) We can use the frequency table to create a histogram.

(second photo)

C) The graph shows that the data is mostly centered around the 100-109 and the 110-119 intervals. There is a slight positive skew, meaning that there are more people who practiced for longer times than for shorter times. The distribution seems fairly normal, with a few outliers who practiced for much longer periods of time.