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Ex 14.4, 3 - If median of data is 63, find value of x - Ex 14.4

  1. Class 9
  2. Important Questions for Exam - Class 9
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Ex 14.4, 3 The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x. 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 Number of observations = n = 10(even number) Median = (𝑛/2)"th obs. + " (𝑛/2+1)"th obs. " /2 63 = (10/2)"th obs. + " (10/2 + 1)"th obs. " /2 63 = (5^𝑡ℎ 𝑜𝑏𝑠. + 6^𝑡ℎ 𝑜𝑏𝑠.)/2 63 = (𝑥 + (𝑥 + 2))/2 63 × 2 = 2x + 2 126 = 2x + 2 126 – 2 = 2x 124 = 2x 2x = 124 x = 124/2 x = 62

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