Question 1 :
If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

Question 3 :
Let set $M = \left \{x, 2x, 4x\right \}$ for any number $x$. If the average (arithmetic mean) of the numbers in set $M$ is $14$, find the value of $x$.

Question 4 :
For a given data with $50$ observation the less than ogive and the more than ogive intersect at $(15.5, 20)$,&#160;the median of the data is&#160;<br/><br/>

Question 6 :
The median of given observations arranged in ascending order in $25$. Find the value of p.<br>$11, 13, 15, 19, p + 2, p + 4, 30, 35, 39, 46$

Question 8 :
If M and$\displaystyle M_{g}$ represents the mean of the raw and grouped data respectively then

Question 9 :
The daily sale of milk (in litres) in a ration shop for eight days is as follows-<br>$60, 40, 10, 40, 4, 70, 30$ and $10$. The average daily sale is-

Question 10 :
Fill in the blank$:$<br>$___________$ frequency is defined as a running total of frequencies.

Question 12 :
In a moderately skewed distribution the values of mean and median are $5$ and $6$ respectively. The value of mode in such a situation is approximately equal to

Question 13 :
The median of a set of $9$ distinct observations is $20.5$. If each of the largest $4$ observations of the set is increased by $2$, then the median of the new set

Question 14 :
If in a frequency distribution, the mean and median are $21$ and $22$ respectively, then&#160;its mode is approximately&#160;

Question 16 :
<table class="wysiwyg-table"><tbody><tr><td>Class</td><td>0-10</td><td>10-20</td><td>20-30</td><td>30-40&#160;&#160;</td><td>40-50</td></tr><tr><td>Frequency</td><td>5</td><td>$x$</td><td>15</td><td>16</td><td>6</td></tr></tbody></table>The missing frequency marked $\displaystyle x$ of the above distribution whose mean is 27 is :&#160;

Question 17 :
The following frequency distribution isclassified according to the number of mangoes in different branches. Calculatethe median of the mangoes in each branch<br><table class="wysiwyg-table"><tbody><tr><td>Number of Mangoes</td><td>$0-10$</td><td>$10-20$</td><td>$20-30$</td><td>$30-40$</td><td>$40-50$</td><td>$50-60$</td><td>$60-70$</td></tr><tr><td>Branch</td><td>$5$</td><td>$4$</td><td>$6$</td><td>$2$</td><td>$4$</td><td>$3$</td><td>$1$</td></tr></tbody></table>

Question 18 :
In a moderately a symmetrical distribution. The mode and median are $75$ and $60$ respectively, find mean.

Question 19 :
The median of following series 520, 20, 340,190, 35, 800, 1210, 50, 80, is:

Question 20 :
The following table shows ages of 300 patients getting medical treatment in a hospital on a particular day.<br>Find the median age of patients<br><table class="wysiwyg-table"><tbody><tr><td>Age (in years)</td><td>10 - 20</td><td>20 - 30</td><td>30 - 40</td><td>40 - 50</td><td>50 - 60</td><td>60 - 70</td></tr><tr><td>No. of Patients</td><td>60</td><td>42</td><td>55</td><td>70</td><td>53</td><td>20</td></tr></tbody></table>