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Byju's Answer

Standard VIII

Mathematics

Construction of a Histogram for Discontinuous Frequency Distribution

To draw a his...

Question

To draw a histogram to represent the following frequency distribution. The adjusted frequency for the class $25 \leftrightarrow 45$ is :
Class interval 5-10 10-15 15-25 25-45 45-75
Frequency 6 12 10 8 15

$5$

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$6$

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$3$

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$2$

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Solution

The correct option is D
$2$

Adjusted frequency of a class is given by,
$\frac{(M i n i m u m c l a s s s i z e o f f r e q u e n c y d i s t r i b u t i o n \times F r e q u e n c y o f g i v e n c l a s s)}{C l a s s s i z e o f g i v e n c l a s s}$
Therefore,
Adjusted frequency for the class $25 \leftrightarrow 45 = \frac{(5 \times 8)}{20} = 2$
Hence, the correct answer is (D)

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Similar questions

Q. Consider the following frequency distribution:

Class interval :	5 – 10	10 – 15	15 – 25	25 – 45	45 – 75
Frequency :	6	12	10	8	15

To draw a histogram to represent the above frequency distribution the adjusted frequency for the class 25-45 is
(a) 6
(b) 5
(c) 3
(d) 2

Question 10
To draw a histogram to represent the frequency distribution.
$\begin{matrix} Class interval & 5 - 10 & 10 - 15 & 15 - 25 & 25 - 45 & 45 - 75 Frequency & 6 & 12 & 10 & 8 & 15 \end{matrix}$
The adjusted frequency for the class 25 - 45 is:

A) 6
B) 5
C) 3
D) 2

Q. Q1. To draw a histogram to represent the following frequency distribution:

Class Interval	5 – 10	10 – 15	15 – 25	25 – 45	45 – 75
Frequency	6	12	10	8	15

the adjusted frequency for the class 25 – 45 is :
(A) 6 (B) 5 (C) 3 (D) 2

Q2. If the mean of the observations:
x, x + 3, x + 5, x + 7, x + 10
is 9, the mean of the last three observations is
(A)

10 \frac{1}{3}

(B)

10 \frac{2}{3}

(C)

11 \frac{1}{3}

(D)

11 \frac{2}{3}

Q. To draw a histogram to represent the foll wing frequency distribution:

Class interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

Q. Answer of 1st and 2nd with steps

1. To draw a histogram to represent the following frequency distribution :

Class Interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

the adjusted frequency for the class 25-45 is:

a) 6 b) 5 c) 3 d) 2

2. If the mean of the observations:
x, x+3, x+5, x+7, x+10
is 9, the mean of the last three observations is

a)

10 \frac{1}{3}

10 \frac{2}{3}

11 \frac{1}{3}

11 \frac{2}{3}

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To draw a histogram to represent the following frequency distribution. The adjusted frequency for the class 25↔45 is :Class interval5-1010-1515-2525-4545-75Frequency61210815

The correct option is D 2Adjusted frequency of a class is given by,Minimumclasssizeoffrequencydistribution×FrequencyofgivenclassClasssizeofgivenclassTherefore,Adjusted frequency for the class 25↔45=5×820=2Hence, the correct answer is (D)

To draw a histogram to represent the following frequency distribution. The adjusted frequency for the class $25 \leftrightarrow 45$ is :
Class interval 5-10 10-15 15-25 25-45 45-75
Frequency 6 12 10 8 15