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 |
Answer :
Word Count : 653
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Skip in 10
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 ) * 30–34 → ( (30+34)/2 = 32 ) * 35–39 → ( (35+39)/2 = 37 ) * 40–44 → ( (40+44)/2 = 42 ) * 45–49 → ( (45+49)/2 = 47 ) Calculating (f \cdot x): * 17 × 5
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