If a and b are equal find their values. Draw histogram and frequency polygon.
Answers
The complete question is:
For the given data if a = b, then find their values. Also draw the histogram and frequency polygon for the data on the same graph paper.
Marks No.of Students
0-20 20-40 40-60 | 60-80 | 80-100 | Total
12 a 46 b | 12 | 100
Given:
Marks No.of Students
0-20 20-40 40-60 | 60-80 | 80-100 | Total
12 a 46 b | 12 | 100
To find:
For the given data if a = b, then find their values. Also draw the histogram and frequency polygon for the data on the same graph paper.
Solution:
Marks No. of students
0-20 12
20-40 a
40-60 46
60-80 b
80-100 12
Total = 100
From given, we have, N = 100
12 + a + 46 + b + 12 = 100
a + b + 70 = 100
a + b = 30
a + a = 30 (given a = b)
2a = 30
a = 15 and b = 15.
Therefore, the completed table is:
Marks No. of students
0-20 12
20-40 15
40-60 46
60-80 15
80-100 12
The histogram and frequency polygon are attached below.
