IGNOU AST 1 2026 - The following table gives the hours spent by 50 students in the playgr

Question

The following table gives the hours spent by 50 students in the playground in a week:

Hours	0	2	4	6	8	10
No. of students	10	6	8	6	10	10

Calculate the mean median and standard deviation of the hours required by stud

09 Jan 2026

Answer :

Word Count : 500

To solve this, we first organize the data and calculate the required values step by step. The data is: | Hours (x) | 0 | 2 | 4 | 6 | 8 | 10 | | ------------ | -- | - | - | - | -- | -- | | Students (f) | 10 | 6 | 8 | 6 | 10 | 10 | Step 1: Calculate the Mean [ \text{Mean} \ (\bar{x}) = \frac{\sum f x}{\sum f} ] Compute ( f \cdot x ) for each class: * (0 \cdot 10 = 0) * (2 \cdot 6 = 12) * (4 \cdot 8 = 32) * (6 \cdot 6 = 36) * (8 \cdot 10 = 80) * (10 \cdot 10 = 100) Sum of (f \cdot x = 0 + 12 + 32 + 36 + 80 + 100 = 260) Total students ( \sum f = 50 ) [ \bar{x} = \frac{260}{50} = 5.2 \

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No.	Physics (X_i)	Mathematics (Y_i)	`X_i²`	`Y_i²`	`X_iY_i`
1	18	21	324	441	378
2	20	23	400	529	460
3	11	14	121	196	154
4	20	23	400	529	460
5	14	17	196	289	238
6	15	18	225	324	270
7	13	16	169	256	208
8	16	19	256	361	304
9	17	20	289	400	480
10	20	23	400	529	460
Total	164	194	2780	3854	3412