Question 1 :
The exam scores of all $500$ students were recorded and it was determined that these scores were normally distributed. If Jane's score is $0.8$ standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?(Area under the curve below $z=0.8 \ is \ 0.7881$)
Question 2 :
If x is the average(arithmetic mean) of $5$ consecutive odd integers, what is the median of integers?
Question 3 :
If coefficient of range is $0.092$ and the largest value is $71$, the range is?
Question 4 :
In an experiment with $10$ observations on $x,\displaystyle \sum { x=60, } \displaystyle \sum { { x }^{ 2 } } =1000$ one observation that was $20$ was found to be wrong and was replaced by the correct value $30$ then the correct variance is
Question 7 :
The average marks of 10 students in a class is 60 with standard deviation 4 while the average marks of other 10 students is 40 with standard deviation 6. If all the 20 students are taken together, their standard deviation will be
Question 8 :
If the sum of mean and variance of $B.D$ for $5$ trials is $1.8$, the binomial distribution is
Question 10 :
If the variance of the data 2,4,5,6,8,17 is 23,33, then variance of 5,11,14,17,23,50 is ________________.
Question 11 :
If mean deviation through median is 15 and median is 450, then coefficient of mean deviation is
Question 13 :
The standard deviation of a varibale x is$\sigma $. The standard devaition of the varibale $\frac { ax+b }{ c } $ where a, b, c are constant is _____________________.
Question 14 :
The standard deviation of $1, 2, 3, 4, 5, 6, 7$ is?
Question 17 :
For two data sets, each of size $ 5$, the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4,$ respectively. The variance of the combined data set is <br/>
Question 19 :
$\sum _{ i=1 }^{ 10 }{ { \left( { X }_{ i }-10 \right) }^{ 2 }=2000 } \sum _{ i=1 }^{ 10 }{ { X }_{ i }-10 } =100$ then the standard deviation of data set ${X}_{i}$.
Question 20 :
For a series the information available is $n=10$, $\displaystyle\sum x=60, \displaystyle\sum x^2=1000$. The standard deviation is?
Question 21 :
The standard deviation of $15$ terms is $6$ and each item is decreased by $1$. Then the standard deviation of new data is?
Question 23 :
The sum of the squares of deviations of 10 items about mean 50 is 250 .The coefficient of variation is
Question 24 :
If coefficient of range is $0.092$ and the largest value is $71$, the range is?
Question 26 :
The greatest value of a collection of data is $72$ and the least value is $28$. Then the coefficient of range is.<br>
Question 27 :
The greatest value of a collection of data is $72$ and the least value is $28$. Then the coefficient of range is.<br>
Question 28 :
For r.v. X whose p.m.f. is<br><table class="wysiwyg-table"><tbody><tr><td>X</td><td>0</td><td>1</td><td>2</td></tr><tr><td>p(X=)x</td><td>${ b }^{ 2 }$</td><td>2ab</td><td>${ a }^{ 2 }$</td></tr></tbody></table>Std. deviation of $X i.e.\sigma =$
Question 29 :
The scores of a batsman in ten innings are: $38, 70, 48, 34, 42, 55, 63, 46, 54, 44$. Find the mean deviation about median.
Question 30 :
Find the variance of the series 5, 8, 11, 14 and 17.....
Question 31 :
The probability distribution of a random variable $X$ is given below:<br/><table class="wysiwyg-table"><tbody><tr><td>$X=x$</td><td>0</td><td>1</td><td>2</td><td>3</td></tr><tr><td>$P(X=x)$</td><td>$\frac{1}{10}$</td><td>$\frac{2}{10}$</td><td>$\frac{3}{10}$</td><td>$\frac{4}{10}$</td></tr></tbody></table>Then the variance of $X$ is
Question 32 :
The mean deviation about the mean of the following data is?<br><table class="wysiwyg-table"><tbody><tr><td>$x_1$</td><td>3</td><td>9</td><td>17</td><td>23</td><td>27</td></tr><tr><td>$f_1$</td><td>8</td><td>10</td><td>12</td><td>9</td><td>5</td></tr></tbody></table>
Question 33 :
The standard deviation $\sigma$ of the first $N$ natural numbers can be obtained using which one of the following formula?
Question 34 :
If the standard deviation of $x_1,x_2,...,x_n$ is 3.5 then the standard deviation of $2x_1-3,2x_2-3,...,2x_n-3$ is
Question 35 :
Mean and standard deviation of a data are $48$ and $12$ respectively. The coefficient of variation is.<br>
Question 37 :
Standard deviation of the first $2$n + $1$ natural numbers is