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प्रश्न
The mean and median of the following are same. Find the value of x if the numbers are arranged in ascending order.
1, 3, 4, x, 10, 15, 21
योग
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उत्तर
Numbers arranged in ascending order,
1, 3, 4, x, 10, 15, 21
There are 7 numbers, which is odd, so the median is the middle value, i.e., the 4th number.
Median = x
Sum of observations = 1 + 3 + 4 + x + 10 + 15 + 21 = 54 + x
Total number of observations = 7
Mean = `(54 + x)/7`
The mean and median are same.
`(54 + x)/7` = x
54 + x = x × 7
54 + x = 7x
54 = 7x − x
54 = 6x
x = `54/6`
x = 9
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