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The median and standard deviation of distribution are \( 20 \) and \( 4 \) respectively. If each item is increased by \( 2 \), the new median is _______
Since each value is increased by , therefore the median value is also increased by
.
So, median
Range of the data \( 4,7,8,9,10,12,13 \) and \( 17 \) is_______
Maximum value
Minimum value
If the difference of male and median of data is \( 24 \), then the difference of median and mean is________
If \( r \) is the correlation coefficient, then ________
If is the correlation coefficient then
The median and standard deviation of a distribution are \( 24 \) and \( 8 \) respectively. If each item is decreased by \( 4 \), the new median and standard deviation are________
Since each value is decreased by , therefore the median value is also decreased by
.
So, new median
Variance is independent of the change of origin, hence SD remains same.
If the standard deviation of the data is \( 9 \), then variance is _______
If the mean of the following data is \( 20.6 \), then the value of \( P \) is______
The mean of first \( n \) natural numbers is \( \dfrac{5n}{9} \), then \( n \) is_______
Mean of first natural numbers
If one of the observation is zero, then geometric mean is ________
Let the observations are up to
Now, geometric mean
Which is measure of dispersion method?
Range, quartile deviation, mean deviation all are the measure of dispersions method.
If a variable takes discrete values \( x+4,~x-\dfrac{7}{2},~x-\dfrac{5}{2},~x-3,~x-2,~x+\dfrac{1}{2},~x-\dfrac{1}{2},~x+5(x > 0) \), then the median is_______
Arranging the discrete values in ascending order, we have .
Total observations
Median AM of
and
observations
If co-variance between two variable is \( 0 \), then the correlation coefficient between them is______
Variance is indipendent of change of _______
Variance is independent of change of origin only.
Let \( x_1,x_2,โฆ,x_n \) be \( n \) observations and \( \overline{x} \) be the arithmetic mean. Then standard deviation is_______
The mean of a group of \( 100 \) observations was found to be \( 20 \). Later on, it was founded that three observations were incorrect, which was recorded as \( 21,21 \) and \( 18 \). Then the mean if the incorrect observation are omitted_______
Range of a data is calculated as_______
If the variance of the data is \( 169 \) then the standard deviation of the data is______
The mean deviation from the mean for the following data: \( 4,7,8,9,10,12,13 \) and \( 17 \) is
The mean of \( 1,3,4,5,7,4 \) is \( m \), the numbers \( 3,2,2,4,3,3,P \) have mean \( m=1 \) and median \( q \). Then \( P+q= \)______
If the difference between mode and median of a data is \( 12 \), then the difference of median and mean is_______
The geometric mean of series having mean \( =25 \) and harmonie mean \( =16 \) is_______
Mean of the first \( ‘n’ \) terms of the arithmetic progression \( a+(a+d)+(a+2d)+… \) is________
Mean of the first terms of the
In a series, the coefficient of variation is \( 50 \) and standard deviation is \( 20 \), then the arithmetic mean is________
If the correlation coefficient between two variables is \( 1 \), then the two least squares of regression are________
If the correlation coefficient between two variable is , then the two least square lines of regression are coincident.
The geometric mean of having mean \( 18 \) and harmonic mean \( =8 \) is________