Question 1 :
If the mean of n observations $x_1, x_2$, ....... $x_n$ is $\bar x$,then the sum of deviations of observations from mean is

Question 4 :
If $V$ is the variance and $M$ is the mean of first $15$ natural numbers, then what is $V+M^2$ equal to ?

Question 5 :
<p class="MsoNormal">If the sum of squares of deviations of $15$ observations from&#10;their mean $20$ is $240$, then what is the value of coefficient of variation (CV)?</p>

Question 8 :
The standard deviation of a data is $6$, when each observation is increased by $1$, then the S.D. of the new data is<br>

Question 9 :
The variance of the data $6,\ 8,\ 10,\ 12,\ 14,\ 16,\ 18,\ 20,\ 22,\ 24$ is

Question 10 :
The S.D. of 1, 2, 3, 4, 5, 6, 7 is

Question 12 :
The standard deviation of $10, 16, 10, 16, 10, 10, 16, 16$ is?

Question 14 :
If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, then its mean is

Question 16 :
The sum of the squares of deviations of a set of values is minimum when taken about

Question 23 :
If increase in value of one variable is accompanied by the proprtional increase in second variable, then corrrelation between two variables is

Question 25 :
If the Correlation Coefficient between X and Y is 0.6, covariance is 27 and variance of Y is 25, then what is the variance of X?

Question 26 :
In a dance competition, the marks given by two judges to $10$ participants are given below. <br><table class="wysiwyg-table"><tbody><tr><td>Participant</td><td>A</td><td>B</td><td>C</td><td>D</td><td>E</td><td>F</td><td>G</td><td>H</td><td>I</td><td>J</td></tr><tr><td>1st Judge</td><td>1</td><td>5</td><td>4</td><td>8</td><td>9</td><td>6</td><td>10</td><td>7</td><td>3</td><td>2</td></tr><tr><td>2nd Judge</td><td>4</td><td>8</td><td>7</td><td>6</td><td>5</td><td>9</td><td>10</td><td>3</td><td>2</td><td>1</td></tr></tbody></table>Find the rank correlation coefficient.

Question 27 :
For a 12 pair of observations it was found that $\sum x=30,\ \sum y=5,\sum x^2=670,\sum y^2=285,\sum xy=334$. Find correlation coefficient.

Question 28 :
Find the rank correlation coefficient between the heights of fathers and sons from the following data:<br><table class="wysiwyg-table"><tbody><tr><td>Heights of fathers in inches </td><td>65</td><td>66</td><td>67</td><td>67</td><td>68</td><td>69</td><td>70</td><td>72</td></tr><tr><td>Height of sons in inches</td><td>67</td><td>68</td><td>65</td><td>68</td><td>72</td><td>72</td><td>69</td><td>71</td></tr></tbody></table>

Question 30 :
If $\displaystyle Cov\left( X,Y \right) =6$ and $\displaystyle U=\frac { X-1 }{ 2 } ,V=\frac { Y-2 }{ 3 } $ then $\displaystyle cov\left( U,V \right) =$<br/>

Question 32 :
Find the spearman's rank coefficient of correlation from the following data:<br><table class="wysiwyg-table"><tbody><tr><td>X</td><td>48</td><td>33</td><td>40</td><td>9</td><td>16</td><td>16</td><td>65</td><td>25</td><td>16</td><td>57</td></tr><tr><td>Y</td><td>13</td><td>13</td><td>24</td><td>6</td><td>15</td><td>4</td><td>20</td><td>9</td><td>6</td><td>19</td></tr></tbody></table>

Question 33 :
For $ n=25,\sum x=125,\sum x^2=650,\sum y=100,\sum y^2=460,\sum xy=508$, correlation coefficient is

Question 34 :
The degree of relationship between the two variables is measured by _________.

Question 36 :
If $n=10, \sum x=4,\sum y=3, \sum x^2=8,\sum y^2=9$ and $\sum xy=3,$ then the coefficient of $r_{x,y}$ is

Question 37 :
What is the formula to calculate Spearman's rank correlation coefficient when ranks are not repeated.

Question 40 :
FInd the rank correlation from the following data:<br><table class="wysiwyg-table"><tbody><tr><td>S. No.</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td><td>8</td><td>9</td><td>10</td></tr><tr><td>Rank Differences</td><td>-2</td><td>-4</td><td>-1</td><td>3</td><td>2</td><td>0</td><td>-2</td><td>3</td><td>3</td><td>-2</td></tr></tbody></table>

Question 41 :
The average age of $12$ children is $20$ years. If the age of one more child is added, the average is decreased by $1$. What is the age of the child added later ?

Question 43 :
Following are the rank obtained by 10 students in two subjects , Statistics and Mathematics . To what extent the knowledge of the students in the two subjects is related?<br><table class="wysiwyg-table"><tbody><tr><td>Statistics</td><td>1</td><td>3</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td><td>8</td><td>9</td><td>10</td></tr><tr><td>Mathematics</td><td>2</td><td>4</td><td>1</td><td>5</td><td>3</td><td>9</td><td>7</td><td>10</td><td>6</td><td>8</td></tr></tbody></table>