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प्रश्न
The following numbers are arranged in ascending order. Find x and the mean if their median is 10.
4, 7, x + 1, x + 5, 15, 20
बेरीज
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उत्तर
Numbers are arranged in ascending order: 4, 7, x + 1, x + 5, 15, 20
There are 6 numbers (an even number), the median is the average of the two middle terms, which are the 3rd and 4th terms.
The median is 10
Median = `("3rd term + 4th term")/2`
10 = `((x + 1) + (x + 5))/2`
10 = `(2x + 6)/2`
10 = x + 3
x = 10 − 3
x = 7
substitute the value of x
The numbers are: 4, 7, (7 + 1), (7 + 5), 15, 20
4, 7, 8, 12, 15, 20
number of observations = 6
Mean = `(4 + 7 + 8 + 12 + 15 + 20)/6`
Mean = `66/6`
=11
The value of x is 7 and the mean is 11.
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