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Maharashtra State BoardSSC (English Medium) 10th Standard

Write the Modal class Class interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 Frequency 30 35 40 75 15

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Question

Write the Modal class

Class interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35
Frequency 30 35 40 75 15
Sum
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Solution

1. Analyze the given frequency table

To find the modal class, arrange the data into its corresponding pairs:

Class Interval Frequency
10 – 15 30
15 – 20 35
20 – 25 40
25 – 30 75
30 – 35 15
 
2. Identify the highest frequency

Scan the frequency value (30, 35, 40, 75, 15) to find the maximum value:

Maximum Frequency = 75

3. Determine the corresponding class interval

The class interval that aligns with the maximum frequency of 75 is 25 – 30, In statistics, the group containing the highest occurrence rate is defined as the modal class.

The modal class for the given distribution is 25 – 30.

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Chapter 6: Statistics - Q.1 (B)
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