Question
Differentiate between inclusive and exclusive continuous frequency distribution.
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Answer
| No. | Inclusive Continuous Frequency Distribution | No. | Exclusive Continuous Frequency Distribution |
| $1.$ | It is carried out for the discrete raw data having large value of range. | $1.$ | It is carried out for the continuous raw data. |
| $2$ | The upper limit of each class and the lower limit of its succeeding class are not equal. | $2.$ | The upper limit of each class and the lower limit of its succeeding class are equal. |
| $3.$ | The upper limit of a class is Included in that class. For example, $20-24, 25-29, 30-34, ....$etc. Here, upper limit $24$ is included in the class $20-24$. | $3.$ | The upper limit of a class is excluded from that class. For example, $20 - 25. 25-30, 30-35,....$ etc. Here, upper limit $25$ is excluded from the class $20-25$ and is included it its succeeding class $25-30.$ |
| $4.$ | Class limits and class boundary points are not same. | $4.$ | Class limits are the class boundary points. |
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The data on quantity of wheat sold (in $\ kg$ ) in a grocery shop during $30$ days are as follows.Prepare a frequency distribution such that class length is $50$ and one of the classes is $250-299$.
$150,290,245,260,100,180,275,390,320,75,140$, $249,195,255,340,190,300,90,295,230,135,250$,$375,165,280,130,330,270,200,240 .$
Answer the following questions on the basis of frequency distribution:
$(1)$ Find the least possible sale of wheat of $20 \%$ days with more sale.
$(2)$ What is the expected sale of $5$ days in the fourth class?
$(3)$ Obtain the boundary points of fifth class.
$(4)$ Find the most possible sale of wheat of $20 \%$ days with less sale.
$(5)$ State the lower limit and upper limit of third class.
→$150,290,245,260,100,180,275,390,320,75,140$, $249,195,255,340,190,300,90,295,230,135,250$,$375,165,280,130,330,270,200,240 .$
Answer the following questions on the basis of frequency distribution:
$(1)$ Find the least possible sale of wheat of $20 \%$ days with more sale.
$(2)$ What is the expected sale of $5$ days in the fourth class?
$(3)$ Obtain the boundary points of fifth class.
$(4)$ Find the most possible sale of wheat of $20 \%$ days with less sale.
$(5)$ State the lower limit and upper limit of third class.
There were $850$ students studying in higher standards of a school. The number of students in standard $10, 11$ and $12$ were in the proportion $8 : 5 : 4$. In standard $10$, the number of boys is $30\%$ of the number of students in the school. In standard $11$, the numbers boys and girls are equal. In standard $12$, the number of boys is three times the number of girls. Present the above data in a tabular form.
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→Obtain an inclusive continuous frequency distribution from the following data.
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Lower boundary point or more than that
|
$44.5$
|
$49.5$
|
$54.5$
|
$59.5$
|
$64.5$
|
$69.5$
|
$74.5$
|
$79.5$
|
|
Cumulative frequency
|
$500$
|
$470$
|
$390$
|
$290$
|
$240$
|
$90$
|
$10$
|
$0$
|
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$(1)$ ${ }^{8} \mathrm{C}_{3}$
$(2)$ ${ }^{20} \mathrm{C}_{3}$
$(3)$ ${ }^{5} \mathrm{C}_{4}$
$(4)$ ${ }^{6} \mathrm{C}_{6}$
→$(1)$ ${ }^{8} \mathrm{C}_{3}$
$(2)$ ${ }^{20} \mathrm{C}_{3}$
$(3)$ ${ }^{5} \mathrm{C}_{4}$
$(4)$ ${ }^{6} \mathrm{C}_{6}$
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