Question 1: Construct a histogram for the following data:
| Monthly School Fees (in Rs.) | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 | 210-240 |
| No. of Schools | 5 | 12 | 14 | 18 | 10 | 9 | 4 |
Answer:
Question 2: The distribution of heights (in cm( of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.
| Height (in cm) | 124-128 | 128-132 | 132-136 | 136-140 | 140-144 | 144-148 | 148-152 | 152-156 | 156-160 | 160-164 |
| No. of Children | 5 | 8 | 17 | 24 | 16 | 12 | 6 | 4 | 3 | 1 |
Answer:
Question 3: The time taken, in seconds, to solve a problem of 25 pupils is a follows:
16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 54, 52, 20
(a) Construct a frequency for these data, using a class interval of 10 seconds.
(b) Draw a histogram to represent the frequency distribution.
Answer:
Frequency distribution:
| Class Interval | Frequency |
| 10-20 | 1 |
| 20-30 | 5 |
| 30-40 | 4 |
| 40-50 | 8 |
| 50-60 | 6 |
| 60-70 | 1 |
Question 4: Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in period of 2 years:
| Cost of Living Index | 440-460 | 460-480 | 480-500 | 500-520 | 520-540 | 540-560 | 560-580 | 580-600 |
| No. of Months | 2 | 4 | 3 | 5 | 3 | 2 | 1 | 4 |
Answer:
Question 5: The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:
| Expenditure (in Rs.) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 |
| No. of Manual Workers | 25 | 40 | 33 | 28 | 30 | 22 | 16 | 8 |
Draw a histogram and a frequency polygon representing the above data.
Answer:
Question 6: The following table gives the distribution of IQ’s (intelligence quotients) of 50
pupils of class V in a school:
| IQ’s | 125-132.5 | 118.5-125.5 | 104.5-111.5 | 97.5-104.5 | 90.5-97.5 | 83.5-90.5 | 76.5-83.5 | 76.5-83.5 | 69.5-76.5 | 62.5-69.5 |
| No. of Pupils | 1 | 3 | 4 | 6 | 10 | 12 | 15 | 5 | 3 | 1 |
Draw a histogram and a frequency polygon representing the above data.
Answer:
Question 7: Draw a histogram and a frequency polygon for the daily earnings of 30 drug stores in the following
table:
| Daily Earnings (in Rs.) | 450-500 | 500-550 | 550-600 | 600-650 | 650-700 |
| No. of Stores | 16 | 10 | 7 | 3 | 1 |
Answer:
Question 8: The monthly Profits (in f ) of 100 shops are distributed as follows:
| Profit per shop | 0-50 | 50-100 | 100-150 | 150-200 | 200-250 | 250-300 |
| No. of Shops | 12 | 18 | 27 | 20 | 17 | 6 |
Draw a histogram for the data and show the frequency polygon for it.
Answer:
