Mathematics [4 marks sum]

(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Pocket expenses (in ₹)	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40
No. of students (Frequency)	10	14	28	42	50	30	14	12

Draw a histogram representing the above distribution and estimate the mode from the graph .

Draw a histogram for the following frequency distribution and find the mode from the graph :

Class	0 - 5	5 - 10	10 - 15	15 - 20	20 - 25
Frequency	2	5	18	14	8

A Mathematics aptitude test of 50 students was recorded as follows :

Marks	50 - 60	60 - 70	70 - 80	80 - 90	90 - 100
Number of students	4	8	14	19	5

Draw a histogram for the above data using a graph paper and locate the mode.

The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the median and mode of the distribution.

Marks obtained	5	6	7	8	9	10
Number of students	3	9	6	4	2	1

In a class of 40 students, marks obtained by the students in a class test (out of 10) are given below :

Marks	1	2	3	4	5	6	7	8	9	10
Number of students	1	2	3	3	6	10	5	4	3	3

Calculate the following for the given distribution :
(a) Median (b) Mode

Calculate first quartile, third quartile and quartile range from the following data :

Weight (in lbs )	4	5	6	8	11	13	14
No. of babies	2	4	5	7	3	2	1

Find the median from the following frequency distribution :

Weight (in kg)	56	59	62	64	66	70
No. of students	6	8	13	12	9	6

Find the median from the following frequency distribution:

Wages (in ₹)	280	320	360	440	480	550
No. of workers	12	16	20	17	13	11