The Mean deviation about Median for the given data. 52, 56, 66, 70, 75, 80, 82 is:
9
The data 52, 56, 66, 70, 75, 80, 82 has \(n=7\), so the median is the 4th term: \(M=70\).
Absolute deviations |xᵢ − 70|: 18, 14, 4, 0, 5, 10, 12.
Sum: \(18+14+4+0+5+10+12=63\).
\[\text{MD}_M = \frac{\sum|x_i-M|}{n}=\frac{63}{7}=\mathbf{9}\]
If the mean deviation of a set of observations is 15, then the value of quartile deviation is:
If the number of observations in a series is 15, then the third quartile is equal to:
The mean deviation from the average A is minimum if A represents
What is the mean deviation about the mean ?
Let xi, i = 1, 2, ..., n be n observations and wi = pxi + k, i = 1, 2, ..., n where p and k are constants. If the mean of xi's is 48 and standard deviation is 12, whereas the mean of wi's is 55 and standard deviation is 15, then the value of p and k should be
If the mean deviation 1, 1 + d, 1 + 2d, ..., 1 + 100d from their mean is 255, then d is equal to
The mean of 5 observation is 5 and their variance is 124. If three of the observations are 1, 2, 6, then the mean deviation from the mean of the data is