Graphical Representation of Cumulative Frequency Distribution

IMPORTANT

Graphical Representation of Cumulative Frequency Distribution: Overview

This Topic covers sub-topics such as Ogive: Cumulative Frequency Curve, Cumulative Frequency Curve of Less than Type, Cumulative Frequency Distribution of the More than Type and, Cumulative Frequency Curve of More than Type

Important Questions on Graphical Representation of Cumulative Frequency Distribution

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IMPORTANT

Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 1

Draw more than ogive for the following distributions. Find the median from the curve.

Class	Frequency
$0 - 10$	$10$
$10 - 20$	$18$
$20 - 30$	$40$
$30 - 40$	$20$
$40 - 50$	$12$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 2

Draw a 'less than ogive' for the given frequency distribution:

Marks	$0 - 4$	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$
No. of students	$4$	$6$	$10$	$8$	$4$

MEDIUM

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 3

Convert a more than cumulative frequency distribution table for the given data :

Class interval	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$	$100 - 110$
Frequency	$12$	$15$	$17$	$21$	$23$	$19$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 4

Convert the following more than type table into simple frequency and find mean.

Marks	More than $0$	More than $10$	More than $20$	More than $30$	More than $40$
No. of students	$50$	$46$	$36$	$28$	$20$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 5

Convert the following less than type table into simple frequency and find mean.

Marks	Less than $10$	Less than $20$	Less than $30$	Less than $40$	Less than $50$
No. of students	$4$	$20$	$40$	$48$	$50$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 6

Form a less than cumulative frequency table.

$x$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$10$	$13$	$17$	$20$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 7

To draw “Less than” ogive we take ___ on $x -$ axis:

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 8

From following table, what is the cumulative frequency of less than type for the class $30 - 40$ ?

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$7$	$3$	$12$	$13$	$2$

MEDIUM

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 9

Distance covered per litre ( $km$ )	$12 - 14$	$14 - 16$	$16 - 18$	$18 - 20$
Number of cars	$11$	$12$	$20$	$7$

The median of the distances covered per litre shown in the above data is in the group

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 10

Which one of the following more than type O-give is correct for the below-given data?

Class Interval	Frequency ( $f_{i}$ )
$10 - 20$	$2$
$20 - 30$	$5$
$30 - 40$	$7$
$40 - 50$	$8$
$50 - 60$	$10$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 11

Which of the statements is correct for Ogive given below?

Question Image

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 12

Which one of the following less than type Ogive is correct for the below-given data?

Class Interval	Frequency ( $f_{i}$ )
$10 - 20$	$2$
$20 - 30$	$5$
$30 - 40$	$7$
$40 - 50$	$8$
$50 - 60$	$10$

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 13

Which of the following statements is correct regarding the cumulative frequency curve of less than type and more than type?

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 14

Find the value of mean and mode for the data given below.

Class interval	$More than 150$	$More than 160$	$More than 170$	$More than 180$	$More than 190$
Frequency $(f)$	$50$	$40$	$30$	$20$	$9$

Assume the maximum value of the class interval is $200$ .

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 15

Find the value of $x$ and then find mean and mode for the data given below.

Marks obtained:	$More than 50$	$More than 60$	$More than 70$	$More than 80$	$More than 90$
Number of students	$x$	$28$	$20$	$12$	$2$

The total number of student appeared in the exam is $36$ .

Assume the maximum marks obtained is $100$ .

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 16

Find the mean and mode for the data given below.

Class interval	$Less than 100$	$Less than 120$	$Less than 140$	$Less than 160$	$Less than 180$
Frequency $(f)$	$120$	$140$	$160$	$180$	$200$

Assume the minimum value for the class interval is $80$ .

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 17

Find the mean and mode for the data given below.

Marks obtained:	$Less than 200$	$Less than 300$	$Less than 400$	$Less than 500$	$Less than 600$
Number of students	$50$	$90$	$120$	$140$	$150$

Assume the minimum marks obtained is $100$ .

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 18

Find the mean and mode for the data given below.

Marks obtained:	$Less than 20$	$Less than 30$	$Less than 40$	$Less than 50$	$Less than 60$
Number of students	$2$	$7$	$14$	$22$	$32$

Assume the minimum marks obtained is $10$ .

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 19

The heights of $50$ girls of Class $X$ of a school are recorded as follows.

$\begin{matrix} \begin{matrix} Height (in \\ cm) \end{matrix} & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 \\ \begin{matrix} Number \\ of girls \end{matrix} & 5 & 8 & 9 & 12 & 14 & 2 \end{matrix}$

A 'more than type' ogive for the above data is

Question Image

The median is

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Mathematics>Statistics>Graphical Representation of Cumulative Frequency Distribution> Q 20

The heights of $100$ students are measured. The results have been used to draw this cumulative frequency diagram. Question Image
Find the number of students with a height greater than $177 cm$ .

Graphical Representation of Cumulative Frequency Distribution

Graphical Representation of Cumulative Frequency Distribution: Overview

Important Questions on Graphical Representation of Cumulative Frequency Distribution

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