.With the help of histogram the value of ……………can be attained and with the help ogives value of ………
Answers
Answer:
Visit different schools in your locality. Collect information on the daily wage earners. Your information should include (i) daily earnings, and (ii) number of wage earners. Convert the raw data in to a continuous frequency distribution, and present your information in the form a histogram.
ANSWER:
Daily Earnings Number of wage earners
0−20
20−40
40−60
60−80
80−100 37
50
70
25
10
Page No 128:
Question 1:
Collect data on the CBSE result (2016) for class X in your school. Discuss with your teacher how can you present the information in terms of a frequency polygon. Write your observations on the performance of your school students.
ANSWER:
Marks
(in percentage)
Number of students
10−20 0
20−30 0
30−40 3
40−50 5
50−60 13
60−70 9
70−80 18
80−90 35
90−100 22
We can infer from the above table that most of the students have scored more than 80% marks and only eight students have scored less than 50% marks. Thus, it can be concluded that students have performed outstanding in the Board exams for class X.
Page No 131:
Question 1:
Get information from your class mates on the monthly pocket allowance they get from their parents. Present the raw data in terms of a frequency distribution. Show cumulative frequencies of your statistical series. Present your information in the form of (i) Less than ogive, and (ii) More than ogive.
ANSWER:
Continuous frequency distribution
Pocket allowance(Rs) Number of Students
0-10
10-20
20-30
30-40
40-50
50-60
60-70
5
7
10
25
35
10
8
For constructing a less than ogive , first the given frequency distribution must be converted into a less than cumulative frequency distribution as follows.
Pocket allowance Cumulative Frequency
Less than 10
Less than 20
Less than 30
Less than 40
Less than 50
Less than 60
Less than 70 5
5 + 7 = 12
12 + 10 = 22
22 + 25 = 47
47 + 35 = 82
82 + 10 = 92
92 + 8 = 100
For constructing a more than ogive , first the given frequency distribution must be converted into a more than cumulative frequency distribution as follows.
Pocket allowance Cumulative Frequency
More than 0
More than 10
More than 20
More than 30
More than 40
More than 50
More than 60
More than 70 100
100 − 5 = 95
95 − 7 = 88
88 − 10 = 78
78 − 25 = 53
53 − 35 = 18
18 − 10 = 8
8 − 8 = 0
Page No 140:
Question 1:
Represent the following frequency distribution graphically:
Number of Children Number of Families
0
1
2
3
4
5 5
10
20
25
30
10
Total = 100
ANSWER:
The given distribution can be represented with the help of a bar diagram as follows.