Question

# Consider the following data: 25 24 18 20 21 18 16 20 23 17 15 13...

Consider the following data:

 25 24 18 20 21 18 16 20 23 17 15 13 19 23 24 20 16 26 21 24 15 22 16 12 20 23 19 26 20 25 21 19 21 25 23 26 21 19 20 14
(a) Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26.
 Class Frequency 12-14 15-17 18-20 21-23 24-26 Total
(b) Develop a relative frequency distribution and a percent frequency distribution using the classes in part (a). If required, round your relative frequency answers to three decimal places and percent frequency answers to one decimal place.
 Class Relative Frequency Percent Frequency 12-14 % 15-17 % 18-20 % 21-23 % 24-26 % Total %

(a)

 Class Frequency 12 - 14 3 15 - 17 6 18 -20 12 21 - 23 10 24 - 26 9 Total 40

Note: frequency of class 12 -14 means how many numbers in the observation are lies in the class 12 - 14.

(b)

 Class Frequency Relative frequency Percent frequency 12 to 14 3 0.075 7.5% 15 to 17 6 0.15 15% 18 to 20 12 0.3 30% 21 to 23 10 0.25 25% 24 to 26 9 0.225 22.5% Total 40

Relative frequency =( Frequency / total of frequency)

Percent frequency = Relative frequency * 100

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