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

ICSE / ISC eBooks

EXERCISE – 27

Q. 1. Marks obtained by 40 students in a test of 50 marks are given below :

    25  44  32  09  48  08  33  41  24  14  28  07  30  47  25  49  43  48  26  18
    12  15  42  14  46  30  11  36  03  27  14  38  17  28  09  26  35  28  47  38.                    

Construct frequency distribution table with classes 0-10, 10-20, …   …   ,40-50.
Hence construct (i) Histogram, (ii) Frequency Polygon and (iii) Ogive.

Q. 2.  Weight of 40 potatoes in gram selected at random in a field are given below :

      58  80  62  14  90  56  64  86  46  24  50  18  60  96  44  98  54  38  40  98
      22  36  82  26  96  60  24  64  62  96  26  78  30  50  24  50  70  58  88  36

Construct frequency distribution table taking class intervals as 0-10, 10-20, …   …   …   …   ,90-100. Draw histogram. Also draw frequency polygon on the same graph.

Q. 3.  The table below shows the distribution of the scores obtained by 120 shooters in a shooting competition. Using a graph sheet, draw an ogive for the distribution.

Use your ogive to estimate :

1. The median
2. The inner quartile range
3. the number of shooters who obtained more than 75% scores.

Q. 4. The daily wages of 160 workers in a building project are given below :

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

Use your Ogive to estimate :
(i) The median wage of the workers.
(ii) The upper quartile wage of the workers.
(iii) The lower quartile wage of the workers.
(iv) The percentage of workers who earn more than Rs. 45 a day.

Q. 5. Using a graph paper, draw an Ogive for the following distribution which shows a record of the weight in kilograms of 200 students.

Use your Ogive to estimate the following :

(i) The percentage of students weighing 55 kg or more.
(ii) The weight above which the heaviest 30% of the students fall.
(iii) The number of students who are :
        (1) under-weight and
         (2) over-weight, if 55.70 kg is considered as standard weight.

Q. 6. For the following frequency distribution draw a histogram. Hence calculate the mode.

[Mode = 12.5

Q. 7. The marks obtained by 200 students in an examination are given below : 

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

1. The Median;
2. the lower quartile;
3. The number of students who obtained more than 80% marks in the examination and
4. The number of students who did not pass, if the pass percentage was 35.

Q. 8.Draw a histogram and hence estimate the mode for the following frequency distribution:

Q. 9. The marks obtained by 120 students in a Mathematics test is given below :

Draw an Ogive for the given distribution on a graph sheet. Use a suitable scale for your Ogive to estimate :

1. The median.
2. The lower quartile.
3. The number of students who obtained more than 75% in the test.
4. The number of students who did not pass in the test if the pass percentage was 40.

Q. 10. Using the data given below construct the cumulative frequency table and draw the ogive. From the ogive determine the median.

Q. 11.  The following table shows the distribution of the heights of a group of a factory workers :

1. Determine the cumulative frequencies.
2. Draw the cumulative frequency curve on a graph paper.
3. From your graph, write down the median height in cm.

Q. 12. Use the graph paper for this question.

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

1. Using the table, calculate the cumulative frequencies of  workers.
2. Draw the cumulative frequency curve.
3. Use your graph to write down the median wages in Rs.

Q. 13.  The daily profits in Rupees of 100 shops in a departmental store are distributed as follows :

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

Q. 14. Attempt this question  on a graph paper. The table shows the distribution of the daily wages, earned by 160 workers in a building site.

Using a scale of 2 cm to represent Rs. 10 and 2 cm to represent 20 workers, plot these values, and draw a smooth ogive, through the points. Estimate from the graph :

1. The median wage.
2. The upper and lower quartile wage earned by the workers.