Question 1 :
Mean of $5$ observation is $7$. If four of these observation are $6,7,8,10$ and one is missing then the variance of of all the five observations is :
Question 2 :
If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.
Question 4 : The table gives information about the number of goals scored by a basketball team in each match last season. Find the modal number of scores recorded.<br/><table class="wysiwyg-table" height="63" width="271"><tbody><tr><td>Number of goals<br/></td><td>$1$<br/></td><td>$2$<br/></td><td>$3$<br/></td><td>$4$<br/></td><td>$5$<br/></td><td>$6$<br/></td></tr><tr><td>Frequency<br/></td><td>$12$<br/></td><td>$10$<br/></td><td>$12$<br/></td><td>$14$<br/></td><td>$18$<br/></td><td>$16$<br/></td></tr></tbody></table>
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>$x_i$</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td></tr><tr><td>$f_i$</td><td>5</td><td>4</td><td>f</td><td>2</td><td>3</td></tr></tbody></table>
Question 6 : The marks scored by $20$ students in exam are given below$:$ Find the median.<br><table class="wysiwyg-table"><tbody><tr><td>Marks<br></td><td>$50$<br></td><td>$60$<br></td><td>$70$<br></td><td>$80$<br></td></tr><tr><td>Students<br></td><td>$1$<br></td><td>$2$<br></td><td>$3$<br></td><td>$4$<br></td></tr></tbody></table><br>
Question 8 :
The average age of a group of eight is same as it was 3 years ago when a young member is substituted for an old member the incoming member is younger to the outgoing member by
Question 9 :
The mean of$\displaystyle x_{1},x_{2}$...$\displaystyle x_{50}$ is M, if every$\displaystyle x_{i},=1,2$...50 is replaced by$\displaystyle x_{i}/50$ then the mean is
Question 11 :
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 12 :
Observations of a data are $16, 72, 0, 55, 65, 55, 10 $ and $41$ Chaitanya calculated the mode and median without taking the zero into consideration. Did Chaitanya do the right thing?
Question 13 :
If the mode of a distribution is $18$  and the mean is $ 24$, then median is
Question 14 :
If the difference between the mode and median is $2$, then the difference between the median and mean (in the given order) is?
Question 16 :
If mode of a data is 45, mean is 27, then median is:<br/>
Question 17 :
If mode $=$ $80$ and mean $=$ $110$, then the median is:<br/>
Question 18 :
If the value of mode and mean is $60$ and $66$ respectively, then the value of median is<br/>
Question 19 :
For a given data with 35 observations the less than ogive' and more than ogive' intersect at<br/>(28.5, 30). The median of the data is :<br/>
Question 20 :
Find the measures of central tendency fro the data set $2, 4, 5, 1, 7, 2, 3$.<br/>
Question 22 :
Median of a data set is a number which has an equal number of observations below and above it. The median of the data $1, 9, 4, 3, 7, 6, 8, 8, 12, 15$ is
Question 23 :
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
Question 24 :
If the mean of x and 1/x is Mthen the mean of$\displaystyle x^{2}$ and$\displaystyle 1/x^{2}$ is
Question 25 :
The median and mode of a frequency distribution are $525$ and $500$ then mean of same frequency distribution is
Question 26 : 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 27 : The median of the following data is $525$. Find the values of $x$and $y$, if the total frequency is $100 $<table class="wysiwyg-table"><tbody><tr><td>Class interval</td><td>Frequency</td></tr><tr><td>$0-100$</td><td>$2$</td></tr><tr><td>$100-200$</td><td>$5$</td></tr><tr><td>$200-300$</td><td>$x$</td></tr><tr><td>$300-400$</td><td>$12$</td></tr><tr><td>$400-500$</td><td>$17$</td></tr><tr><td>$500-600$</td><td>$20$</td></tr><tr><td>$600-700$</td><td>$y$</td></tr><tr><td>$700-800$</td><td>$9$</td></tr><tr><td>$800-900$</td><td>$7$</td></tr><tr><td>$900-1000$</td><td>$4$</td></tr></tbody></table>
Question 29 : If the median of the following frequency distribution is $32.5$, find the missing frequencies.<br/><table class="wysiwyg-table"><tbody><tr><td>Class interval<br/></td><td>Frequency<br/></td></tr><tr><td>0-10<br/></td><td>$f_1$<br/></td></tr><tr><td>10-20<br/></td><td>5<br/></td></tr><tr><td>20-30<br/></td><td>9<br/></td></tr><tr><td>30-40<br/></td><td>12<br/></td></tr><tr><td>40-50<br/></td><td>$f_2$<br/></td></tr><tr><td>50-60<br/></td><td>3<br/></td></tr><tr><td>60-70<br/></td><td>2<br/></td></tr><tr><td>Total<br/></td><td>40<br/></td></tr></tbody></table>
Question 30 :
Find the mean of the following data: Range of first $n$ natural numbers range of negative integers from $-n$ to $-1$ (where $-n < - 1$), range of first $n$ positive even integers and range of first $n$ positive odd integers
