The mean deviation about the median for the f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The given data is $6, 3, 4, 9, 2, 7, 11$. First,arrange the data in ascending order: $2, 3, 4, 6, 7, 9, 11$. There are $n = 7$ observations,which

Vedclass · Accepted Answer

$2.57$

Vedclass · Answer

(B) The given data is $6, 3, 4, 9, 2, 7, 11$. First,arrange the data in ascending order: $2, 3, 4, 6, 7, 9, 11$. There are $n = 7$ observations,which is odd. The median $M$ is the $\left(\frac{n+1}{2}\right)^{th}$ observation,which is the $4^{th}$ observation. Thus,$M = 6$. The mean deviation about the median is given by $\frac{1}{n} \sum_{i=1}^{n} |x_i - M|$. Mean deviation $= \frac{1}{7} [|2-6| + |3-6| + |4-6| + |6-6| + |7-6| + |9-6| + |11-6|]$. Mean deviation $= \frac{1}{7} [|-4| + |-3| + |-2| + 0 + |1| + |3| + |5|]$. Mean deviation $= \frac{1}{7} [4 + 3 + 2 + 0 + 1 + 3 + 5] = \frac{18}{7} \approx 2.57$.

The mean deviation about the median for the following data $6, 3, 4, 9, 2, 7, 11$ is

Similar Questions

The mean deviation from the mean for the set of observations $-1, 0, 4$ is

The mean deviation about the mean for the following data: $5, 6, 7, 8, 6, 9, 13, 12, 15$ is

Let the mean and the standard deviation of the observations $2, 3, 3, 4, 5, 7, a, b$ be $4$ and $\sqrt{2}$ respectively. Then the mean deviation about the mode of these observations is:

The mean deviation from the mean for the data $ 3, 10, 10, 4, 7, 10, 5 $ is:

Find the mean deviation about the mean for the following data:
$6, 7, 10, 12, 13, 4, 8, 12$

Vedclass Test Series

Exam Paper Generator

Online Exam Module