The following distribution gives the daily income of $50$ workers of a factory.
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.
| 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.
(N/A) The frequency distribution table of less than type is as follows:
Taking upper class limits of class intervals on the $x$-axis and their respective cumulative frequencies on the $y$-axis,the ogive is drawn by plotting the points $(120, 12), (140, 26), (160, 34), (180, 40),$ and $(200, 50)$ and joining them with a smooth curve.
| Daily income (in Rs.) (upper class limits) | Cumulative frequency |
| Less than $120$ | $12$ |
| Less than $140$ | $12 + 14 = 26$ |
| Less than $160$ | $26 + 8 = 34$ |
| Less than $180$ | $34 + 6 = 40$ |
| Less than $200$ | $40 + 10 = 50$ |
Taking upper class limits of class intervals on the $x$-axis and their respective cumulative frequencies on the $y$-axis,the ogive is drawn by plotting the points $(120, 12), (140, 26), (160, 34), (180, 40),$ and $(200, 50)$ and joining them with a smooth curve.
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Similar Questions
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.
Medium
View SolutionThe table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories $(U.T.)$ of India. Find the mean percentage of female teachers by all the three methods discussed in this section.
Percentage of female teachers $15$-$25$ $25$-$35$ $35$-$45$ $45$-$55$ $55$-$65$ $65$-$75$ $75$-$85$ Number of States/$U$.$T$. $6$ $11$ $7$ $4$ $4$ $2$ $1$
| Percentage of female teachers | $15$-$25$ | $25$-$35$ | $35$-$45$ | $45$-$55$ | $55$-$65$ | $65$-$75$ | $75$-$85$ |
| Number of States/$U$.$T$. | $6$ | $11$ | $7$ | $4$ | $4$ | $2$ | $1$ |
Medium
View SolutionThe marks obtained by $30$ students of Class $X$ of a certain school in a Mathematics paper consisting of $100$ marks are presented in the table below. Find the mean of the marks obtained by the students.
Marks obtained $(x_{i})$ $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ Number of students $(f_{i})$ $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$
| Marks obtained $(x_{i})$ | $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ |
| Number of students $(f_{i})$ | $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$ |
Easy
View SolutionThe 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 $65-85$ $4$ $85-105$ $5$ $105-125$ $13$ $125-145$ $20$ $145-165$ $14$ $165-185$ $8$ $185-205$ $4$
| Monthly consumption (in units) | Number of consumers |
| $65-85$ | $4$ |
| $85-105$ | $5$ |
| $105-125$ | $13$ |
| $125-145$ | $20$ |
| $145-165$ | $14$ |
| $165-185$ | $8$ |
| $185-205$ | $4$ |
Difficult
View SolutionIf the median of the distribution given below is $28.5,$ find the values of $x$ and $y$.
Class interval Frequency $0-10$ $5$ $10-20$ $x$ $20-30$ $20$ $30-40$ $15$ $40-50$ $y$ $50-60$ $5$ Total $60$
| Class interval | Frequency |
| $0-10$ | $5$ |
| $10-20$ | $x$ |
| $20-30$ | $20$ |
| $30-40$ | $15$ |
| $40-50$ | $y$ |
| $50-60$ | $5$ |
| Total | $60$ |
Difficult
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