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ICSE Guess > ICSE/ISC eBooks > Class X > Maths by Mr. M. P. Keshari

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EXERCISE – 29

Q. 1. The daily wages of 160 workers in a building project are given below :

Wages (in Rs.)	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70	70 - 80
No. of Workers	12	20	30	38	24	16	12	8

Using a graph paper, draw an ogive for the above distribution.

Use your ogive to estimate :

Q. 2. The marks obtained by 200 students in an examination are given below :

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
No. of Students	5	10	11	20	27	38	40	29	14	6

Using a graph paper, draw an ogive for the above distribution. Use your ogive to estimate:

Q. 3. Draw a histogram and hence estimate the mode for the following frequency distribution :

Class	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
Frequency	2	8	10	5	4	3

Q. 4. Using the data given below construct the cumulative frequency table and draw the ogive. From the ogive determine the median.

Marks	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70	70 – 80
No. of students	3	8	12	14	10	6	5	2

Q. 5. The following table shows the distribution of the heights of a group of factory workers

Height (cm)	150-155	155-160	160-165	165-170	170-175	175-180	180-185
No. of workers	6	12	18	20	13	8	6

Determine the cumulative frequencies.
Draw the cumulative frequency curve on a graph paper.
Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.
From your graph, write down the median height in cm.

Q. 6. The table given below shows the monthly wages of some factory workers :

Wages in Rs.	No. of workers
6500 – 7000 7000 – 7500 7500 – 8000 8000 – 8500 8500 – 9000 9000 – 9500 9500 – 10000	10 18 22 25 17 10 8

Q. 7. The daily profits in Rupees of 100 shops in a departmental store are distributed as follow :

Profit per shop (in Rs.)	No. of shops
0 – 100 100 – 200 200 – 300 300 – 400 400 – 500 050 – 600	12 18 27 20 17 6

Draw a histogram of the data given above, on graph paper, and estimate the mode.

Q. 8. The table shows the distribution of the daily wages, earned by 160 workers in a building site.

Wages in Rs. Per day	No. of workers
0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80	12 20 30 38 24 16 12 8

Using the above distribution, draw a smooth ogive on a graph paper. Estimate from the graph :