Question 1 :
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.<br><table class="wysiwyg-table"><tbody><tr><td>Number of heart beats per minute<br></td><td>Number of women<br></td></tr><tr><td>65-68<br></td><td>2<br></td></tr><tr><td>68-71<br></td><td>4<br></td></tr><tr><td>71-74<br></td><td>3<br></td></tr><tr><td>74-77<br></td><td>8<br></td></tr><tr><td>77-80<br></td><td>7<br></td></tr><tr><td>80-83<br></td><td>4<br></td></tr><tr><td>83-86<br></td><td>2<br></td></tr></tbody></table>

Question 2 :
Find the arithmetic mean using step deviation method for the following. The data shows distance covered by $40$ passengers to perform their work. (Round off your answer to the nearest whole number).<br/><table class="wysiwyg-table"><tbody><tr><td>Distance (km)<br/></td><td>1-5<br/></td><td>5-9<br/></td><td>9-13<br/></td><td>13-17<br/></td><td>17-21<br/></td><td>21-25<br/></td><td>25-29<br/></td></tr><tr><td>Number of passengers<br/></td><td>2<br/></td><td>4<br/></td><td>6<br/></td><td>8<br/></td><td>10<br/></td><td>5<br/></td><td>5<br/></td></tr></tbody></table><br/>

Question 5 :
If the mean of following frequency distribution. is $ 2.6$, then the value of f is:<br/><table class="wysiwyg-table"><tbody><tr><td>$\displaystyle x_{i}$<br/></td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td></tr><tr><td>$\displaystyle f_{i}$</td><td>5</td><td>4</td><td>f</td><td>2</td><td>3</td></tr></tbody></table>

Question 6 :
In the formula $x=a+h(f_i u_i/ f_i)$, for finding the mean of grouped frequency distribution, $u_i=$

Question 8 :
Frequency distribution of distance travelled in kms. per liter of petrol by different mopeds is given below.<br/><table class="wysiwyg-table"><tbody><tr><td>Distance travelled (in km/lit)</td><td>62 - 65</td><td>65 - 68</td><td>68 - 71</td><td>71 - 74</td><td>74 - 77</td><td>77 - 80</td><td>80 - 83</td></tr><tr><td>No.of mopeds</td><td>5</td><td>8</td><td>12</td><td>28</td><td>35</td><td>10</td><td>2</td></tr></tbody></table>Find mean distance travelled per liter of petrol by a moped.

Question 9 :
The following data shows that the age distribution of patients of malaria in a village during a particular month. Find the average age of the patients.<br><table class="wysiwyg-table"><tbody><tr><td>Age (in years)<br></td><td>No. of cases<br></td></tr><tr><td>5-14<br></td><td>6<br></td></tr><tr><td>15-24<br></td><td>11<br></td></tr><tr><td>25-34<br></td><td>21<br></td></tr><tr><td>35-44<br></td><td>23<br></td></tr><tr><td>45-54<br></td><td>14<br></td></tr><tr><td>55-64<br></td><td>5<br></td></tr><tr><td>65-74<br></td><td>3<br></td></tr></tbody></table>

Question 10 :
Which of the following is true in relation to assumed mean method?