Question

Consider the following data set 14.8 7.2 8.7 9.6 13.1 13.8 7.5 10.1 9.9 9.9 11.9 4.7 14.8 8.1 10.6 3.8 4.6 12.5 7.9 6.6 10.3 13.3 7.26.8 7.3 7.2 8.7 5.2 5.2 13.1 Click here for the Excel Data File a. Construct the frequency distribution using classes of 3 up to 5, 5 up to 7, etc. Class Frequency 3 up to 5 5 up to 7 7 up to 9 9 up to 11 11 up to 13 13 up to 15

Answer 1

-(a)
Frequency Distribution is as follows:

Class	Frequency
3 up to 5	3
5 up to 7	4
7 up to 9	9
9 up to 11	6
11 up to 13	2
13 up to 15	6

(b)

Relative Frequency, Cumulative Frequency and Cumulative Relative Frequency distributions are as follows:

Class	Relative Frequency	Cumulative Frequency	Cumulative Relative Frequency
3 up to 5	3/30 = 0.1000	3	3/30=0.1000
5 up to 7	4/30 = 0.1333	7	7/30=0.2333
7 up to 9	9/30 =0.3000	16	16/30=0.5333
9 up to 11	6/30=0.2000	22	22/30=0.7333
11 up to 13	2/30=0.0667	24	24/30=0.8000
13 up to 15	6/30=0.2000	30	30/30 = 1.0000

(c-1)

Number of observations at least 7 but less than 9 = 9

(c - 2)

Number of observations less than 9 = 3 + 4 + 9 = 16

(d - 1)

Percentage of observations at least 7 but less than 9 = (9/30)X100= 30 %

(d - 2)

Percentage of observations less than 9 = 3 + 4 + 9 = (16/30) X 100 = 53 %