Question

Question: 2 The data below shows the amount of money in millions of shillings paid out suppliers by firm over a certain period of time 7.0 4.1 3.4 5.5 4.5 6.6 7.3 7.7 8.0 3.0 5.0 4.5 7.2 5.0 2.7 7.0 5.5 7.0 8.5 7.0 3.0 5.0 6.0 5.3 4.0 4.5 3.5 5.5 2.0 8.1 2.5 5.1 3.5 6.2 6.0 3.0 4.5 3.5 5.0 8.9 5.3 2.3 2.8 6.5 6.8 5.0 6.5 3.4 3.5 7.6

a) Starting with 2.0-2.9 ,construct a frequency distribution table for the data

b) Using the frequency table;

i. Draw a cumulative curve for the data and hence estimate the median and inter quartile range

ii. Calculate the mean and standard deviation of production

Answer 1

a)

Class	Frequency
2-2.9	5
2.9-3.8	9
3.8-4.7	6
4.7-5.6	11
5.6-6.5	3
6.5-7.4	10
7.4-8.3	4
8.3-9.2	2
Grand Total	50

b) i)

Class	Frequency	x ( Mid point of Class)	Cumulative Frequency
2-2.9	5	2.45	5
2.9-3.8	9	3.35	14
3.8-4.7	6	4.25	20
4.7-5.6	11	5.15	31
5.6-6.5	3	6.2	34
6.5-7.4	10	6.95	44
7.4-8.3	4	7.85	48
8.3-9.2	2	8.75	50
Grand Total	50

MEDIAN :

IQR :

IQR = Q3 - Q1 = 6.815 - 3.65 = 3.165

b) ii)