5. The frequency distribution below shows the distribution of average seasonal r

Question

5. The frequency distribution below shows the distribution of average seasonal rainfall in San Francisco, as measured in inches, for the years 1967-2017, Show all work. Just the answer, without supporting work, will receive no credit.) Season Rainfall (Irn Inches 0-9.99 10 19.99 20 29.99 0-30.99 40-40.99 Total Cumulative Relative Frequenc Frequendc 0.84 0.98 1.00 50 (a) Complete the frequency table with frequency and cumulative relative frequency. Express the (b) What percentage of season in this sample has a seasonal rainfall between 30 and 40.99 inches, (c) Which of the following seasonal rainfall groups does the median of this distribution belong to? cumulative relative frequency to two decimal places. inclusive? 10-19.99, 20-29.99, or 30-39.99? Why?

Explanation / Answer

Given data can be represent by the following frequency distribution:

Rainfall Frequency Relative frequency Cumulative Relative frequency

0 - 9.99 1 1/50 = 0.02 0.02

10 -19.99 22 22/50=0.44 0.02+0.44= 0.46

20 - 29.99 50*0.38=19 0.84-0.46=0.38 0.84

30 - 39.99 50*0.14=7 0.98 - 0.84=0.14 0.98

40 - 49.99 50*0.02=1 1 - 0.98 =0.02 1

Total 50

b) The percentage of season in this sample has a seasonal rainfall between 30 and 40.99 inches is:

(7/50)*100=14

The percentage of season in this sample has a seasonal rainfall between 30 and 40.99 inches is 14%.

c) The seasonal rainfall groups, the median of the distribution belongs to is 20 - 29.99.

Since 50% cumulative frequency lies within this class.

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