Q. 73.9( 55 Votes )

# Find the mean deviation about the median for the data in Exercises.

Answer :

The given observations are already in ascending order. We make a table for the given data, as shown below, adding other columns after calculations.

Now, N = 26 which is even.

Median is the mean of 13^{th} and 14^{th} observations. Both these observations lie in the cumulative frequency 14, for which the corresponding observation is 7.

Therefore, Median

So, we can calculate the absolute values of the deviations from the median, i.e., |x_{i} – M|, as shown in the table.

Thus, we have

And

Hence, the mean deviation about the median for the given data is 3.23.

Rate this question :

Calculate the mean deviation about the mean of the set of first n natural numbers when n is an even number.

Mathematics - ExemplarFill in the blanks

The standard deviation is _______ to the mean deviation taken from the arithmetic mean.

Mathematics - ExemplarFill in the blanks

The mean deviation of the data is _______ when measured from the median.

Mathematics - ExemplarThe following information relates to a sample of size 60: ∑x^{2}=18000, ∑x = 960.

The variance is

Mathematics - ExemplarCalculate the mean deviation about the mean for the following frequency distribution:

Mathematics - Exemplar

Calculate the mean deviation from the median of the following data:

Mathematics - Exemplar

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

Mathematics - Exemplar