Van Mahotsava was celebrated in $100$ schools,where $100$ plants were planted in each school. After one month,the number of plants that survived were recorded as follows:
$\begin{array}{llllllllll}95 & 67 & 28 & 32 & 65 & 65 & 69 & 33 & 98 & 96 \\ 76 & 42 & 32 & 38 & 42 & 40 & 40 & 69 & 95 & 92 \\ 75 & 83 & 76 & 83 & 85 & 62 & 37 & 65 & 63 & 42 \\ 89 & 65 & 73 & 81 & 49 & 52 & 64 & 76 & 83 & 92 \\ 93 & 68 & 52 & 79 & 81 & 83 & 59 & 82 & 75 & 82 \\ 86 & 90 & 44 & 62 & 31 & 36 & 38 & 42 & 39 & 83 \\ 87 & 56 & 58 & 23 & 35 & 76 & 83 & 85 & 30 & 68 \\ 69 & 83 & 86 & 43 & 45 & 39 & 83 & 75 & 66 & 83 \\ 92 & 75 & 89 & 66 & 91 & 27 & 88 & 89 & 93 & 42 \\ 53 & 69 & 90 & 55 & 66 & 49 & 52 & 83 & 34 & 36\end{array}$

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(N/A) To present such a large amount of data so that a reader can make sense of it easily,we condense it into groups like $20-29, 30-39, . . ., 90-99$ (since our data ranges from $23$ to $98$). These groupings are called 'classes' or 'class-intervals',and their size is called the class-size or class width,which is $10$ in this case. In each of these classes,the least number is called the 'lower class limit' and the greatest number is called the 'upper class limit'. For example,in $20-29$,$20$ is the lower class limit and $29$ is the upper class limit.
Using tally marks,the data above can be condensed into a grouped frequency distribution table as follows:
Number of plants survived Number of schools (frequency)
$20-29$ $3$
$30-39$ $14$
$40-49$ $12$
$50-59$ $8$
$60-69$ $18$
$70-79$ $10$
$80-89$ $23$
$90-99$ $12$
Total $100$

Presenting data in this form simplifies and condenses it,enabling us to observe important features at a glance. We can observe that $50\%$ or more plants survived in $8 + 18 + 10 + 23 + 12 = 71$ schools.

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Similar Questions

Find the mode of $14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.$

In a city,the weekly observations made in a study on the cost of living index are given in the following table:
Cost of living index Number of weeks
$140-150$ $5$
$150-160$ $10$
$160-170$ $20$
$170-180$ $9$
$180-190$ $6$
$190-200$ $2$
Total $52$

Draw a frequency polygon for the data above (without constructing a histogram).

Consider the marks,out of $100$,obtained by $51$ students of a class in a test,given in the table below. Draw a frequency polygon corresponding to this frequency distribution table.
MarksNumber of students
$0-10$$5$
$10-20$$10$
$20-30$$4$
$30-40$$6$
$40-50$$7$
$50-60$$3$
$60-70$$2$
$70-80$$2$
$80-90$$3$
$90-100$$9$
Total$51$

$A$ survey conducted by an organisation for the cause of illness and death among women between the ages $15-44$ (in years) worldwide,found the following figures (in $\%$):
$S$.NoCausesFemale fatality rate $(\%)$
$1.$Reproductive health conditions$31.8$
$2.$Neuropsychiatric conditions$25.4$
$3.$Injuries$12.4$
$4.$Cardiovascular conditions$4.3$
$5.$Respiratory conditions$4.1$
$6.$Other causes$22.0$

$(i)$ Represent the information given above graphically.
$(ii)$ Which condition is the major cause of women's ill health and death worldwide?
$(iii)$ Try to find out,with the help of your teacher,any two factors which play a major role in the cause in $(ii)$ above being the major cause.

Find the mean of the marks obtained by $30$ students of Class $IX$ of a school.
$\begin{array}{llllllllll}10 & 20 & 36 & 92 & 95 & 40 & 50 & 56 & 60 & 70 \\ 92 & 88 & 80 & 70 & 72 & 70 & 36 & 40 & 36 & 40 \\ 92 & 40 & 50 & 50 & 56 & 60 & 70 & 60 & 60 & 88\end{array}$

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