Question

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.

Consider the following data: 14 21 23 19 16 15 20 20 21 25 24 18 17 23 26 18 16 15 24 21 16 19 21 23 20 23 14 13 14 14 12 26 19 25 15 23 25 25 19 (a) Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26.

Answer 1

The data is given as follows: The frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26 is calculated as follows: Class Interval Frequency 12-14 15-17 18-20 The number included in the interval 14, 14, 13, 14, 14, 12 16, 17, 15, 16, 15, 16, 15 18, 18, 19, 20, 19, 20, 19, 19, 20 23, 21, 23, 23, 21, 22, 23, 21, 21, 23 24, 24, 26, 26, 25, 25, 25, 21-23 24-26 Hence, the frequency distribution using classes of 12-14, 15-17, 18-20. 21-23, and 24-26 are given below: Frequency Class Interval 12-14 15-17 18-20 21-23 24- 268 The formula for calculating the relative frequency and relative frequency percentage is given below: Frequency Relative frequency == Total frequency Frequency x100% Relative frequency %=- Total frequency The relative frequency distribution and relative frequency percentage of each class are calculated as follows: Class Interval Frequency Relative Frequency Percentage frequency 15% 12-14 =0.15 15-17 -=0.175 17.5% 18-20 22.5% 21-23 10 -0.25 25% 24-26 8 -0.2 20% Total frequency = 40 Hence, the relative frequency distribution and relative frequency distribution of each class are given below: Class Interval Frequency Relative Frequency Percentage frequency 15% 12-14 =0.15 15-17 -=0.175 17.5% 18-20 = 0.225 22.5% 21-23 25% 10=0.25 24-26 -0.2 20%