Information Handling Exercise 10.1, Problem 1: Grade 8 Punjab Curriculum & Textbook Board

Pioneers Academy
Punjab Curricular & Textbook Board
Math: Grade 8

Information Handling
Exercise 10.1

Problem 1
The following data displays the number of draws of different categories of bonds
35, 55, 64, 70, 99, 89, 87, 65, 67, 38, 62, 60, 70, 78, 69, 86, 39, 71, 56, 75, 51, 99, 68, 95, 86, 53, 59, 50, 47, 55, 81, 80, 98, 51, 63, 66, 79, 85, 83, 70
Construct a frequency distribution table for the above data with seven classes of equal size and of class interval 10.

We know:
Lowest Value: 35
Highest Value: 99
Number of Classes: 7
Class Interval: 10

Number of Data: 40


Side Work: 
Segregate values in respective classes
Class Interval
Tally Mark
Frequency
Values
35 – 44


35, 38, 39,
45 – 54


51, 53, 50, 47, 51,
55 – 64


55, 64, 60, 62, 56, 59, 55, 63,    
65 – 74


70, 65, 67, 70, 69, 71, 68, 66, 70
75 – 84


78, 75, 81, 80, 79, 83,
85 – 94


89, 87, 86, 86, 85,
95 – 104


99, 99, 95, 98,
Total:




Count segregated values and place tally mark in respective row, make group of 4 straight lines and every 5th line across the 4 straight lines.
Class Interval
Tally Mark
Frequency
Values
35 – 44
|||

35, 38, 39,
45 – 54
||||

51, 53, 50, 47, 51,
55 – 64
|||| |||

55, 64, 60, 62, 56, 59, 55, 63,    
65 – 74
|||| ||||

70, 65, 67, 70, 69, 71, 68, 66, 70
75 – 84
|||| |

78, 75, 81, 80, 79, 83,
85 – 94
||||

89, 87, 86, 86, 85,
95 – 104
||||

99, 99, 95, 98,
Total:




Now we may count the values or tally marks, group of 4 straight lines crossed by horizontal line is group of 5 lines additional straight lines will be counted additionally and note down the appropriate count in frequency column.

Solution:
Frequency Distribution Table
Class Interval
Tally Mark
Frequency
35 – 44
|||
3
45 – 54
||||
5
55 – 64
|||| |||
8
65 – 74
|||| ||||
9
75 – 84
|||| |
6
85 – 94
||||
5
95 – 104
||||
4
Total:

40



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