The mean square deviation of a set \( \mathrm{n} \) observations
\( x_{1}, x_{2}, \ldots \ldots .... VIDEO
The mean square deviation of a set \( \mathrm{n} \) observations
\( \mathrm{P} \)
\( x_{1}, x_{2}, \ldots \ldots x_{n} \) about a point \( c \) is defined as \( \frac{1}{n} \sum_{i=1}^{n}\left(x_{i}-c\right)^{2} \) The mean square deviation about -2 and 2 are 18 and 10 respectively. Then standard deviation of this set of observation is
(1) 3
(2) 2
(3) 1
(4) None of these
.
(4)(1)(8(18) (9)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-22 Mean deviation of the series \( a, a+d, a+2 d, \ldots \ldots \)
\( a+2 \) nd from its mean is.... 2024-01-22 Consider the following data with frequency distribution:
\begin{tabular}{|l|l|l|l|l|l|}
\hline\(.... 2024-01-22 The variance of \( \alpha, \beta \) and \( \gamma \) is 9 , then the variance of
\( 5 \alpha, 5 .... 2024-01-22 The standard deviation of a variable \( \mathrm{x} \) is 10 . Then,
the standard deviation of \(.... 2024-01-22 Let \( x_{1}, x_{2}, \ldots, x_{n} \) be ' \( n \) ' observations. Let \( w_{i}=l x_{i}+k \)
for.... 2024-01-22 Consider the following distribution:
\begin{tabular}{|l|l|l|l|l|l|}
\hline Size \( \left(x_{i}\r.... 2024-01-22 The mean and median of the following number in
increasing order
\( 3,4,6, x, 10, y \) are ' 7 ' .... 2024-01-22 The mean of five observations is 4 and their
variance is 5.2. If three of these observations are.... 2024-01-22 In the series of \( 2 n \) observations, half of them each equal to \( a \) and remaining half e.... 2024-01-22 Consider the following distribution:
\begin{tabular}{|l|l|l|l|l|l|}
\hline Size \( \left(x_{i}\r.... 2024-01-22 The mean square deviation of a set \( \mathrm{n} \) observations
\( x_{1}, x_{2}, \ldots \ldots .... 2024-01-22 The weighted mean of first \( n \) natural numbers whose
weight are equal to the squares of corr.... 2024-01-22 The weighted mean of first \( n \) natural numbers whose
weight are equal to the squares of corr.... 2024-01-22 The mean and variance of 5 observations of an
experiment are 4 and 5.2 respectively. If from the.... 2024-01-22 Let \( x_{1}, x_{2}, \ldots . x_{n} \) be \( \mathrm{n} \) observation such that
\( \sum x_{i}^{.... 2024-01-22 The arithmetic mean of the following data is given
by
\begin{tabular}{|l|l|l|l|l|l|}
\hline Vari.... 2024-01-22 If the standard deviation of \( x_{1}, x_{2}, \ldots x_{n} \) is 3.5 , then
the standard deviati.... 2024-01-22 Words are formed using all letters of the word
"CANADA". A word is selected from these words ran.... 2024-01-22 The mean of the following freq. table is 50 and
\( \Sigma \mathrm{f}=120 \)
\begin{tabular}{|l|l.... 2024-01-22 10 is the mean of a set of 7 observations and 5 is the
mean of a set of 3 observations. The mean.... 2024-01-22 The mean deviation about median from the
following data \( 340,150,210,240,300,310,320 \), is....