NumericalModerate3 marks
The mean of following numbers is 68. Find the value of 'x'. 45, 52, 60, x, 69, 70, 26, 81 and 94 Hence estimate the median.
Topic: Mean / median / mode / quartiles
Previous-year question practice database
Answer
Exam answer
the median is 69.
Explanation
Mean = Total number of observations 45+52+ 60 + x + 69 + 70 + 26 + 81 + 94 ∴ 68 = 497 + x ⇒ 68 = ⇒ 612 = 497 + x ⇒ x = 612 497 ⇒ x = 115 Data in ascending order 26, 45, 52, 60, 69, 70, 81, 94, 115 th ∈ n +1 Since the number of observations is odd, the median is the observation th ∈ 9 +1 ⇒ Median observation = 5th observation Hence, the median is 69. 3 k
More from Measure of Central Tendency (Mean, Median, Quartiles and Mode)
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