Question
Calculate standard deviation and its coefficient from the following data:
| Marks out of 10 | 0–2 | 2–4 | 4–6 | 6–8 | 8–10 |
|---|---|---|---|---|---|
| No. of Students | 2 | 5 | 15 | 7 | 1 |
Answer :
Word Count : 347
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Skip in 10
First, we take the midpoints of each class interval to represent the marks: | Marks (x) | 0–2 | 2–4 | 4–6 | 6–8 | 8–10 | | ------------- | --- | --- | --- | --- | ---- | | Midpoint (m) | 1 | 3 | 5 | 7 | 9 | | Frequency (f) | 2 | 5 | 15 | 7 | 1 | Step 1: Calculate the mean ((\bar{x})) [ \bar{x} = \frac{\sum f \cdot m}{\sum f} ] [ \sum f \cdot m = (2 \cdot 1) + (5 \cdot 3) + (15 \cdot 5) + (7 \cdot 7) + (1 \cdot 9) ] [ =
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