Question

Question:    1

1. The table below shows the summary of income of various employees complied by URA for tax assessment

5.9	6.9	3	8.9	7	8.9	2.6	6.6	8.1	2.4
6.7	3.2	6.9	7.1	9.4	7.1	3.8	9.6	9.6	6.7
4.4	6.9	7	6.9	7.1	6.6	7	7.7	9.2	8.2
9.7	6.8	6.8	2.2	7	7.2	6.9	7.7	5.6	6.9
7	9.9	7.5	8	9	6.3	9.5	6.7	7	9.7

1. Present the above information in a distribution table and represent it graphically using a histogram for presentation for to URA tax assessment department                                       
2. What is the mean and modal income of employees                                                
3. Compute the standard deviation of income                                                                                       

Answer 1

a.

Frequency distribution table:

Class	Frequency
2 - 3	4
3 - 4	2
4 - 5	1
5 - 6	2
6 - 7	20
7 - 8	8
8 - 9	5
9 - 10	8
	50

Upper limit is included in class whereas lower limit is excluded while creating frequency distribution.

Histogram:

Que.b

Mode is the most frequent value. Here value 6.9 and 7 are repeated maximum (6 times). Hence there are two modes 6.9 and 7.

Que.c