The following table gives the production yield per hectare of wheat of $100$ farms of a village.
Production yield (in kg/ha) Number of farms $50-55$ $2$ $55-60$ $8$ $60-65$ $12$ $65-70$ $24$ $70-75$ $38$ $75-80$ $16$
Change the distribution to a 'more than type' distribution,and draw its ogive.
| Production yield (in kg/ha) | Number of farms |
|---|---|
| $50-55$ | $2$ |
| $55-60$ | $8$ |
| $60-65$ | $12$ |
| $65-70$ | $24$ |
| $70-75$ | $38$ |
| $75-80$ | $16$ |
Change the distribution to a 'more than type' distribution,and draw its ogive.
(N/A) The cumulative frequency distribution of 'more than type' can be obtained as follows:
By plotting the points $(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)$ on a graph paper,taking the lower class limits on the $x$-axis and their respective cumulative frequencies on the $y$-axis,we obtain the 'more than type' ogive.
| Production yield (lower class limits) | Cumulative frequency |
|---|---|
| More than or equal to $50$ | $100$ |
| More than or equal to $55$ | $100 - 2 = 98$ |
| More than or equal to $60$ | $98 - 8 = 90$ |
| More than or equal to $65$ | $90 - 12 = 78$ |
| More than or equal to $70$ | $78 - 24 = 54$ |
| More than or equal to $75$ | $54 - 38 = 16$ |
By plotting the points $(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)$ on a graph paper,taking the lower class limits on the $x$-axis and their respective cumulative frequencies on the $y$-axis,we obtain the 'more than type' ogive.
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Similar Questions
The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $4$ $5$ $9$ $10$ $14$ $8$
Total frequency $n = 50$.
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ |
| Frequency | $4$ | $5$ | $9$ | $10$ | $14$ | $8$ |
Total frequency $n = 50$.
Easy
View SolutionThe distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$ Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$
| Weight (in kg) | $40-45$ | $45-50$ | $50-55$ | $55-60$ | $60-65$ | $65-70$ | $70-75$ |
| Number of students | $2$ | $3$ | $8$ | $6$ | $6$ | $3$ | $2$ |
Medium
View SolutionFind the median of the following frequency distribution:
Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$ Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$
| Class | $65-85$ | $85-105$ | $105-125$ | $125-145$ | $145-165$ | $165-185$ | $185-205$ |
| Frequency | $4$ | $5$ | $13$ | $20$ | $14$ | $8$ | $4$ |
Medium
View SolutionFind the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:
Height (in $cm$) Frequency Cumulative frequency $150-155$ $12$ $a$ $155-160$ $b$ $25$ $160-165$ $10$ $c$ $165-170$ $d$ $43$ $170-175$ $e$ $48$ $175-180$ $2$ $f$ Total $50$ -
| Height (in $cm$) | Frequency | Cumulative frequency |
| $150-155$ | $12$ | $a$ |
| $155-160$ | $b$ | $25$ |
| $160-165$ | $10$ | $c$ |
| $165-170$ | $d$ | $43$ |
| $170-175$ | $e$ | $48$ |
| $175-180$ | $2$ | $f$ |
| Total | $50$ | - |
Medium
View SolutionIn the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times c$ for the median,$cf = \ldots \ldots \ldots$
Easy
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