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

ID: 2948523 • Letter: 5

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 CALCULATIONS FOR B AND C)
(a) Why is it appropriate to use a grouped frequency distribution for this data?
(b) Complete the frequency table with frequency and cumulative relative frequency. Express the cumulative relative frequency to two decimal places.
(c) What percentage of season in this sample has a seasonal rainfall between 0 and 19.99 inches, inclusive?
(d) Which of the following

Season Rainfall (in Inches)

Frequency

Cumulative Relative Frequency

0 - 9.99

1

?

10 - 19.99

22

?

20 - 29.99

?

0.84

30 - 30.99

?

0.98

40 - 40.99

?

1.00

Total

50

Season Rainfall (in Inches)

Frequency

Cumulative Relative Frequency

0 - 9.99

1

?

10 - 19.99

22

?

20 - 29.99

?

0.84

30 - 30.99

?

0.98

40 - 40.99

?

1.00

Total

50

Explanation / Answer

SOlutionb:

Solutionc:

1+22/50*100

=33/50*100

=66%

ANSWER:66%

Cumulative Rel Freq Relative freeq Cumuative Rel Freq =1/50 0.02 0.02 0.02 =1+22/50 0.46 0.44 =0.02+0.46=0.48 =0.38*50=18 0.84 0.38 =0.02+0.46+0.36=0.84 =0.14*50=7 0.98 0.14 =0.02+0.46+0.36+0.14=0.98 =0.02*50=1 1 0.02 =0.02+0.46+0.36+0.14+0.02=1 n=1+22+18+7+1=50
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