CBSE Class 8 Mathematics Question 9 of 15

Tales by Dots and Lines — Question 9

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9
Question
Consider the data: 12, 47, 8, 73, 18, 35, 39, 8, 29, 25, p. Which of the following numbers could be p if the median of this data is 29? (i) 10 (ii) 25 (iii) 40 (iv) 100 (v) 29 (vi) 47 (vii) 30
Answer

Arranging the data (excluding p) 8, 8, 12, 18, 25, 29, 35, 39, 47, 73 Total observations = 11 (odd) Median = \(\left(\frac{n+1}{2}\right)^{t h}\) term = 6th term = 29 So, p must be ≥ 29 to keep the value 29 in the middle. So possible values of p are (iii) 40, (iv) 100, (v) 29, (vi) 47, and (vii) 30.