To find out the concentration of $SO_{2}$ in the air (in $parts\, per\, million$,i.e.,$ppm$),the data was collected for $30$ localities in a certain city and is presented below:
Concentration of $SO_{2}$ (in $ppm$)Frequency
$0.00-0.04$$4$
$0.04-0.08$$9$
$0.08-0.12$$9$
$0.12-0.16$$2$
$0.16-0.20$$4$
$0.20-0.24$$2$

Find the mean concentration of $SO_{2}$ in the air.

  • A
    $0.089$
  • B
    $0.099$
  • C
    $0.067$
  • D
    $0.056$

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Daily income (in Rs.)$100-120$$120-140$$140-160$$160-180$$180-200$
Number of workers$12$$14$$8$$6$$10$

Convert the distribution above to a less than type cumulative frequency distribution,and draw its ogive.

The following data gives the distribution of total monthly household expenditure of $200$ families of a village. Find the modal monthly expenditure of the families. Also,find the mean monthly expenditure:
$\begin{array}{|c|c|} \hline \text{Expenditure (in Rs)} & \text{Number of families} \\ \hline 1000-1500 & 24 \\ 1500-2000 & 40 \\ 2000-2500 & 33 \\ 2500-3000 & 28 \\ 3000-3500 & 30 \\ 3500-4000 & 22 \\ 4000-4500 & 16 \\ 4500-5000 & 7 \\ \hline \end{array}$

The following frequency distribution gives the monthly consumption of electricity of $68$ consumers of a locality. Find the median,mean,and mode of the data and compare them.
Monthly consumption (in units)Number of consumers
$65-85$$4$
$85-105$$5$
$105-125$$13$
$125-145$$20$
$145-165$$14$
$165-185$$8$
$185-205$$4$

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$A$ survey was conducted by a group of students as a part of their environment awareness programme,in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house.
Number of plants$0-2$$2-4$$4-6$$6-8$$8-10$$10-12$$12-14$
Number of houses$1$$2$$1$$5$$6$$2$$3$

Which method did you use for finding the mean,and why?

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is $Rs. 18$. Find the missing frequency $f$.
Daily pocket allowance (in $Rs.$)$11-13$$13-15$$15-17$$17-19$$19-21$$21-23$$23-25$
Number of children$7$$6$$9$$13$$f$$5$$4$

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