Question 1 :
Median of a given frequency distrlbution is found with the help of a<br>

Question 2 :
If the mean of the observations:<br>x,x+3,x+5,x+7,x+10<br>is 9 the mean of the last three observations is

Question 3 :
The following observations are arranged in ascending order:&#160;<br/>$26, 29, 42, 53, x, x+2, 70, 75, 82, 93$<br/>If the median is $65,$ find the value of $x$.

Question 5 :
The height of $30$ boys of a class are given in the following table<table class="wysiwyg-table"><tbody><tr><td>Height in cm</td><td>frequency</td></tr><tr><td>$120 - 129$</td><td>$2$</td></tr><tr><td>$130 - 139$</td><td>$8$</td></tr><tr><td>$140 - 149$</td><td>$10$</td></tr><tr><td>$150 - 159$</td><td>$7$</td></tr><tr><td>$160 - 169$</td><td>$3$</td></tr></tbody></table>If by joining of a boy of height $140$ cm, the median of the heights is changed from $M_1$ to $M_2$, then $M_1- M_2$ in cm is

Question 6 :
The median class of the frequency distribution given below is _______.<br><table class="wysiwyg-table"><tbody><tr><td>Class</td><td>0 - 10</td><td>10 - 20</td><td>20 - 30</td><td>30 - 40</td><td>40 - 50</td></tr><tr><td>Frequency</td><td>7</td><td>15</td><td>13</td><td>17</td><td>10</td></tr></tbody></table>

Question 9 :
The mean of the data 16, 20, 26, 40, 50, 60, 70, 30 is

Question 10 :
If the mean of first n natural numbers is equal to $\dfrac{n+7}{3}$, then $n$ is equal to:

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

Question 15 :
Find the missing frequencies and the median for the following distribution if the mean is 1.46 and the sum of all frequencies is 200<br><table class="wysiwyg-table"><tbody><tr><td>No. of accidents</td><td>0</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td></tr><tr><td>No. of days</td><td>46</td><td>$\displaystyle f_{1}$</td><td>$\displaystyle f_{2}$</td><td>25</td><td>10</td><td>5</td></tr></tbody></table>

Question 16 :
The time taken by a group of people to run across the street is given below. Find the median.<br><table class="wysiwyg-table"><tbody><tr><td>Time(min)<br></td><td>$10$<br></td><td>$20$<br></td><td>$25$<br></td><td>$30$<br></td><td>$45$<br></td></tr><tr><td>People<br></td><td>$1$<br></td><td>$2$<br></td><td>$5$<br></td><td>$6$<br></td><td>$7$<br></td></tr></tbody></table><br>

Question 17 :
The mean salary paid per week to $1000$ employees of an establishment was found to be Rs. $900$. Later on, it was discovered that the salaries of two employees were wrongly recorded as Rs. $750$ and Rs. $365$ instead of Rs. $570$ and Rs. $635$. Find the corrected mean salary.

Question 20 :
The sum of $12$ observations is $600$, then their mean is _____

Question 21 :
The table shows the heights of a group of trees. Find the mode.<br><table class="wysiwyg-table"><tbody><tr><td>Height (cm)<br></td><td>12<br></td><td>10<br></td><td>24<br></td><td>14<br></td><td>18<br></td></tr><tr><td>Number of trees<br></td><td>2<br></td><td>4<br></td><td>1<br></td><td>6<br></td><td>5<br></td></tr></tbody></table>

Question 22 :
If $x_1, x_2, x_3, x_4, x_5$ are five consecutive odd numbers, then their average is

Question 24 :
A train travels first 300 km at an average rate of 30 km per hour and further travels the same distance at an average rate of 60 km per hour then the average speed over the whole distance is

Question 26 :
If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

Question 27 :
The mean of $18, 24, 15, 2x + 1$ and $12$ is $21$, then&#160;&#160;the value of $x$ is&#160;<br/>

Question 28 :
The weights in kilogram of 9 members in a school boxing team are 54, 59, x, 53, 73,49, 50, 58, 45 If the average is 56 then x is

Question 30 :
If the median of the distribution (arranged in ascending order) $1, 3, 5, 7, 9, x, 15, 17$, is $8$, what is the value of x?

Question 31 :
If the ratio of mode and median is $7 : 4$, then the ratio of mean and mode is:&#160;<br/>

Question 32 :
Consider the following statements in respect of the set $S = \left \{1, 2, 3, ....., n\right \}$<br>1. $(n + 1)/2$ is the median of the numbers is S.<br>2. n is the mode of the numbers is S.<br>Which of the above statements is/are correct?

Question 33 :
Assertion: If the value of mode and mean are 60 and 66 respectively, then the value of median is 64. Reason: Median $=\dfrac{1}{2}$(mode + 2 mean)

Question 34 :
The mean and median of the data are respectively $20$ and $22$.&#160;The value of mode is:<br/>

Question 35 :
The average value of the median of $2,8,3,7,4,6,7$ and the mode of $2,9,3,4,9,6,9$ is

Question 36 :
If in a moderately skewed distribution the values of modeand mean are $6$ $\lambda$ and $9$ $\lambda$ respectively, then value of median is ...

Question 38 :
Median of a data set is a number which has an equal number of observation below and above it. The median of the data 1, 9, 4, 3, 7, 6, 8, 8, 12, 15 is