The manager of a nightclub near a local university recorded the ages of the last
ID: 3173288 • Letter: T
Question
The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution.
Ages
Cumulative Frequency
18 up to 22
74
22 up to 26
76
26 up to 30
88
30 up to 34
90
34 up to 38
100
a.
Construct the corresponding frequency, relative frequency, and cumulative relative frequency distributions. (Round "Relative Frequency" and "Cumulative Relative Frequency" to 2 decimal places.)
Ages
Frequency
Relative
Frequency
Cumulative
Relative
Frequency
18 up to 22
22 up to 26
26 up to 30
30 up to 34
34 up to 38
Total
b-1.
How many of the guests were at least 26 but less than 30 years old?
Number of guests
b-2.
What percent of the guests were at least 22 but less than 26 years old?
Percent of guests
b-3.
What percent of the guests were younger than 34 years old?
Percent of guests
b-4.
What percent were 34 years or older?
Percent of guests
The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution.
Explanation / Answer
a) Table:
b) 1) Number of guests who were atleast 26 but less than 30 = 88
2) Percent of guests who were atleast 22 but less than 26 = 2/100 *100 = 2%
3) Percent of guests younger than 34 years old = (74 + 2 + 12 + 2)/100 * 100 = 90%
4) Percent of guests 34 years or older = 10/100 * 100 = 10%
Age Cumulative Frequency Frequency Relative Frequency Cumulative relative frequency 18 up to 22 74 74 74/100 = 0.74 0.74 22 up to 26 76 76 - 74 = 2 2/100 = 0.02 0.76 26 up to 30 88 88 - 76 = 12 12/100 = 0.12 0.88 30 up to 34 90 90 - 88 = 2 2/100 = 0.02 0.9 34 up to 38 100 100 - 90 = 10 10/100 = 0.1 1 Total 100 1Related Questions
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