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

Let us consider the following frequency distribution table which gives the weights of $38$ students of a class:
Weights (in $kg$) Number of students
$31-35$ $9$
$36-40$ $5$
$41-45$ $14$
$46-50$ $3$
$51-55$ $1$
$56-60$ $2$
$61-65$ $2$
$66-70$ $1$
$71-75$ $1$
Total $38$

If two new students of weights $35.5\, kg$ and $40.5\, kg$ are admitted to this class,how should the frequency distribution table be adjusted to include them?

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

The following observations have been arranged in ascending order. If the median of the data is $63$,find the value of $x.$
$29, 32, 48, 50, x, x+ 2, 72, 78, 84, 95$

The distances (in $km$) of $40$ engineers from their residence to their place of work were found as follows:
$5$ $3$ $10$ $20$ $25$ $11$ $13$ $7$ $12$ $31$
$19$ $10$ $12$ $17$ $18$ $11$ $32$ $17$ $16$ $2$
$7$ $9$ $7$ $8$ $3$ $5$ $12$ $15$ $18$ $3$
$12$ $14$ $2$ $9$ $6$ $15$ $15$ $7$ $6$ $12$

Construct a grouped frequency distribution table with class size $5$ for the data given above,taking the first interval as $0-5$ ($5$ not included). What main features do you observe from this tabular representation?

$5$ people were asked about the time in a week they spend doing social work in their community. They said $10, 7, 13, 20$ and $15$ hours,respectively. Find the mean (or average) time in a week devoted by them for social work.

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