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:

2019-03-03_10-50-19

\\

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:

2019-03-03_11-34-42

\\

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

2019-03-03_16-42-12

\\

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:

2019-03-03_17-00-33

\\

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:

2019-03-03_18-21-33

 

\\

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:

2019-03-03_19-27-17

\\

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:

2019-03-03_19-44-57

\\

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:

2019-03-03_20-04-00

\\

Advertisements