Question

Below is the data of ages at the local amusement park on a certain day.

Subtraction
d Rates
17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15,
Percent
Provide the intervals and frequencies you would use to construct the histogram for this data set.

a) 5-10, 11-15, 16-20, 21-25, 26-30, 31-35
b) 5-10, 11-16, 17-22, 23-28, 29-34
c) 5-9, 10-15, 16-20, 21-25, 26-30, 31-35
d) 5-9, 10-14, 15-19, 20-24, 25-29, 30-35

Answer 1

To construct the histogram for the amusement park age data, intervals should be chosen that encompass all ages without overlap. Based on the data, option (a) 5-10, 11-15, 16-20, 21-25, 26-30, 31-35 aligns best with the requirements for constructing a histogram.

Step-by-step explanation:

To construct a histogram for the provided amusement park age data, the intervals must be chosen such that they include all possible ages without any overlap. Considering the options provided and the additional information that the interval from 31 to 35 years has the fewest data values, let's process the data and see which option suits best.

Referring to the given age data, counting the number of ages that fall into each interval will give us the frequency for that interval. If we begin with option (a) 5-10, 11-15, 16-20, 21-25, 26-30, 31-35 and compare against all other options, it appears that this matches the criteria best because all the given ages fit within these intervals and there's no overlap.

For example, the ages 8, 9, and 10 would be included in the 5-10 interval, and ages like 17, 18, and 20 would fit in the 16-20 interval. If we follow this pattern and apply it to the rest of the ages, we can tally the frequencies and complete the histogram.