Question

alculate Mean, Median and Mode for the following data: 

Class Interval 15–19 20–24 25–29 30–34 35–39 40–45 45–49
Frequency 5 8 10 15 10 6 6
10 Feb 2026
Answer :
Word Count : 653
To calculate the mean, median, and mode for the given data, we follow standard statistical methods step by step. Given Data: | Class Interval | Frequency (f) | | -------------- | ------------- | | 15–19 | 5 | | 20–24 | 8 | | 25–29 | 10 | | 30–34 | 15 | | 35–39 | 10 | | 40–44 | 6 | | 45–49 | 6 | --- ### Step 1: Calculating the Mean For grouped data, the mean is calculated using the formula: [ \text{Mean} = \frac{\sum f \cdot x}{\sum f} ] where (x) is the midpoint of each class interval. Finding midpoints (x): * 15–19 → ( (15+19)/2 = 17 ) * 20–24 → ( (20+24)/2 = 22 ) * 25–29 → ( (25+29)/2 = 27 ) ______ _________ _________ __________ ___ _______ ______ ___ _________ ___ ______ ______.
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