A random sample of 200 students was chosen from UMUC STAT 200 classes. The frequ
ID: 2927265 • Letter: A
Question
A random sample of 200 students was chosen from UMUC STAT 200 classes. The frequency distribution below shows the distribution for study time each week (in hours). (Show all work. Just the answer, without supporting work, will receive no credit.)
Study Time (in hours) Frequency Relative Frequency 0.0 – 5.0 6 5.1 – 10.0 24 10.1 – 15.0 50 15.1 - 20.0 0.35 20.1 – 25.0 Total 200
(a) Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. (b) What percentage of the study times was at most 15 hours? (c) In what class interval must the median lie? 5.1 – 10.0, 10.1 -15.0, 15.1 – 20.0, or 20.1 – 25.0? Why?
Explanation / Answer
(a)
Study Time Frequency Relative Frequency Cumulative relative frequency
0 0 - 5.0 6 6/200 = 0.03 0.03
5.1 - 10.0 24 24/200 = 0.12 0.15
10.1 - 15.0 50 50/200 = 0.25 0.40
15.1 - 20.0 0.35 X 200 = 70 0.35 0.75
20.1 - 25.0 50 50/200 = 0.25 1.00
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Total 200 1.00
(b) At most 15 hours = 0.40 = 40%
(c) median class = class with cumulative relative frequency = 0.50 fall is class 15.1 - 20.0
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