7. If 10, 13, 15, 18, x+1, x +3, 30, 32, 35, 41 are ten observations in an
ascending order with median 24, find the value of x.
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Answer:
22
Step-by-step explanation:
By arranging the numbers in ascending order We get 10, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41 We know that n = 10 which is even So we get Median = ½ {(n/2)th term + (n/2 + 1)th term} It can be written as Median = ½ {5th term + 6th term) By substituting the values Median = ½ (x + 1 + x + 3) On further calculation Median = ½ (2x + 4) We get Median = x + 2 It is given that median = 24 So we get x + 2 = 24 On further calculation x = 24 – 2 = 22 Therefore, the value of x is 22.
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