Question 8 of 9advanced🔧 ApplyNumerical5 marks

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data.

281715222921232718127294
1831052016128433272115
33627189246323129181413
151197153732282624201925
192069
Correct Answer

Step 1: Understand the Inclusive Method In the inclusive method, both the lower and upper class limits are included in the class interval. For example, in class 1-7, both values 1 and 7 are included.

Step 2: Arrange the Data in Ascending Order The raw data arranged in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 15, 16, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 22, 23, 24, 25, 26, 27, 27, 27, 28, 28, 29, 29, 31, 32, 32, 33, 36, 37

Step 3: Determine Range and Class Intervals Minimum value = 1, Maximum value = 37 Class interval = 7

Step 4: Construct Frequency Distribution Table

Class IntervalTallyFrequency
1-7IIII IIII IIII I15
8-14IIII IIII II12
15-21IIII IIII IIII III15
22-28IIII IIII II10
29-35IIII II6
36-42II2
Total60

This is the required frequency distribution using the inclusive method with class interval of 7.

Exercise: EXERCISES | Q: 10 | (Page 17)
For More Understanding

Explanation

The inclusive method includes both lower and upper limits in each class. The data ranges from 1 to 37, so classes start from 1-7 and continue with intervals of 7. Each value is tallied in its respective class, and the total frequency sums to 60 observations.

Solution Steps

  1. Step 1: Understand that inclusive method includes both class limits

  2. Step 2: Arrange all 60 data values in ascending order

  3. Step 3: Identify minimum (1) and maximum (37) values

  4. Step 4: Create classes starting from 1-7 with interval of 7

  5. Step 5: Tally each observation in appropriate class and count frequencies

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