JEE Main 2024 Mathematics question

MathematicsStatisticsJEE Main 2024

Let the median and the mean deviation about the median of 7 observation 170, 125, 230, 190, 210, a, b be 170 and respectively. Then the mean deviation about the mean of these 7 observations is:

Answer: (D)

Solution

Median 170 forces a, b ≤ 170; Σ|x − 170| = 205 gives a + b = 300; mean = 175; Σ|x − 175| = 160 + 50 = 210; MD = 30.

Question ID VK-011283