Calculate the mean of the scores of 20 students in a Mathematics test.

Marks	10-20	20-30	30-40	40-50	50-60
Number of students	2	4	7	6	1

4

(a)

Find the mode of given data.

Marks	0-10	10-20	20-30	30-40	40-50
Frequency	20	24	40	36	20

4

(a)

Compute the median marks for the following data.

Marks	Number of students
0 and above	50
10 and above	46
20 and above	40
30and above	20
40 and above	10
50 and above	3
60and above	0

4

(a)

If the coordinates of the point of intersection of less than ogive and more than ogive is (12.5,20) then find the value of median.

4

(a)

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

Number of days	0-6	6-10	10-14	14-20	20-28	28-38	38-40
Number of students	11	10	7	4	4	3	1

4

(a)

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

Literacy rate (in %)	45-55	55-65	65-75	75-85	85-95
Number of cities	3	10	11	8	3

4

(a)

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 min and summarised it in the table given below:

Number of cars	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	7	14	13	12	20	11	15	8

 Find the mode of the data.

4

(a)

If the median of the distribution given below is 28.5, find the values of x and y.

Class interval	Frequency
0-10	5
10-20	x
20-30	20
30-40	15
40-50	y
50-60	5
Total	60

4

(a)

The distribution given below, gives the weights of 30 students of a class. Find the median weight of the students.

Weight (in kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75
Number of students	2	3	8	6	6	3	2

4

(a)

For the following distribution, calculate mean by using direct and assumed mean method.

Class interval	1-4	4-9	9-16	16-27
Frequency	6	12	26	20

4

(a)