distribution below shows the distribution for study time each week (in hours). (

Question

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 40 5.1 – 10.0 100 10.1 – 15.0 0.25 15.1 - 20.0 120 20.1 – 25.0 Total 500

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 not more than 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)

b)

So more than 15 hrs = 0.24+0.23 = 0.47

c)

Median is at 0.5 percentile, so it must lies in

10.1 to 15 hrs

Study Time Frequency Relative frequency 0-5 40 0.08 5.1-10 100 0.20 10.1-15 125 0.25 15.1-20 120 0.24 20.1-25 115 0.23 500 1

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