Question
Calculate mean, median and mode from the following data.
| Class Interval | Frequency |
|---|---|
| 3-4 | 3 |
| 4-5 | 7 |
| 5-6 | 22 |
| 6-7 | 60 |
| 7-8 | 85 |
| 8-9 | 32 |
| 9-10 | 8 |
Answer :
Word Count : 361
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Skip in 10
Class intervals: 3–4, 4–5, 5–6, 6–7, 7–8, 8–9, 9–10 Frequencies (f): 3, 7, 22, 60, 85, 32, 8 Step 1: Calculate the Mean Midpoints (x) of each class: 3–4 → 3.5 4–5 → 4.5 5–6 → 5.5 6–7 → 6.5 7–8 → 7.5 8–9 → 8.5 9–10 → 9.5 Multiply midpoints by frequencies (f × x): 3 × 3.5 = 10.5 7 × 4.5 = 31.5 22 × 5.5 = 121 60 × 6.5 = 390 85 × 7.5 = 637.5 32 × 8.5 = 272 8 × 9.5 = 76 Sum of frequencies Σf = 3 + 7 + 22 + 60 + 85 + 32 + 8 = 217 Sum of f × x = 10.5 + 31.5 + 121 + 390 + 637.5 + 272 + 76
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