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Standard deviation of a data is \( 6 \). When each observation is increased by \( 1 \), then the standard deviation of new data is ________
Standard deviation is independent of change of origin
The mean weight of a group of \( 10 \) items is \( 28 \) and that of another group of \( n \) items is \( 35 \). The mean of combined group of \( 10+n \) items is found to be \( 30 \). Then, the value of \( n \) is_______
The mean of \( 5 \) observations is \( 4.4 \) and their variance is \( 8.24 \). If three observations are \( 1,2 \) and \( 6 \), the other observations are_____
The mean deviation about the mean for the following data \( 3,7,8,9,4,6,8,13,12,10 \) is________
The arithmetic mean of the numerical values of the deviations of items from some average values is called the________
Mean deviation is the arithmetic mean of the numerical values of the deviations of items from some average values.
A batsman scores runs in \( 10 \) innings as \( 38,70,48,34,42,55,63,46,54 \) and \( 44 \), then the mean of the scores is________
Which one of the following average is most affected of extreme observations?
Arithmetic mean is the most affected of extreme observations.
Mean of \( 130,126,68,50,1 \) is________
If mean \( =(3\text{Median}\text{Mode})x \), then the value of \( x \) is______
The mean deviation of the following data: \( 14,15,16,17,13 \) is_______
If the mean of \( 3,4,x,7,10 \) is \( 6 \) then the value of \( x \) is_______
The mean of a set of numbers is \( \overline{x} \). If each number is multiplied by \( \lambda \), then the mean of new set is_______
The mean of the observations \( y_1,y_2,…,y_n \) is given by______
The mean of a set of observations, is \( \overline{x} \). If each observation is divided by \( \alpha \) and then is increased by \( 10 \), then the mean of the new set is________
If the mean of the numbers \( 27+x,~31+x,~89+x,~107+x,~156+x \) is \( 82 \), then the mean of \( 130+x,~126+x,~68+x,~50+x,1+x \) is______
If mean of the above distribution is \( 3 \), then find the value of \( a \)______
If the arithmetic mean of the numbers \( x_1,x_2,x_3,…,x_n \) is \( \overline{x} \), then the arithmetic mean of numbers \( ax_1+b,~ax_2,…,ax_n+b \), where \( a,b \) are two constants______
The geometric mean of the numbers \( 3,3^2,3^3,…,3^n \) is_______
The reciprocal of the mean of the reciprocals of \( n \) observations is their_______
Let are observations then
The weighted mean of first \( n \) natural numbers whose weights are equal to the squares of corresponding numbers is______
If the values \( 1,\dfrac{1}{2},\dfrac{1}{3},…,\dfrac{1}{n} \) occur at frequencies \( 1,2,3,…,n \) in a distribution, then the mean is_______
The number of observations in a group is \( 40 \). If the average of first \( 10 \) is \( 4.5 \) and that of remaining \( 30 \) is \( 3.5 \), then the average of the whole group is______
A student obtain \( 75\%,~80\% \) and \( 85\{% \) in three subjects. If the marks of another subject is added, then his average cant be less than _______
Mark obtain from subjects out of .
If the marks of another subject is added, then the marks will be out of
Minimum average marks
The arithmetic mean of a \( 50 \) set of numbers is \( 38 \). If two numbers of the set, namely \( 55 \) and \( 45 \) are discarded, then the arithmetic mean of the remaining set of numbers is _______
The average weight of students in a class of \( 35 \) students is \( 40\text{kg} \). If the weight of the teacher be included, the average rises by \( \dfrac{1}{2}\text{kg} \); the weight of the teacher is______