Compute the mode of the following data- - Class 0-20 20-40 40-60 60-80 80-100- Frequency 25 16 28 20 5- -

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Standard X

Mathematics

Finding Mode for Grouped Data When Class Intervals Are Given

Compute the m...

Question

Compute the mode of the following data:
$\begin{matrix} Class & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 Frequency & 25 & 16 & 28 & 20 & 5 \end{matrix}$

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Solution

Here the maximum frequency is 28,
Then the corresponding class 40-60 is the modal class l = 40,
h = 60 - 40 = 20,
f = 28, f₁ = 16, f₂= 20 Mode = l+[(f−f1)/(2f−f1−f2)]×h
=40+[(28-16)/(56-16-20)]×20
=40+(12/20)×20
=52

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Compute the mode of the following data: [CBSE 2013]

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Frequency	25	16	28	20	5

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$\begin{matrix} Mid-values & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 Frequency & 7 & 13 & 19 & 24 & 32 & 28 & 17 & 8 & 6 \end{matrix}$

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$1 - 5$	$3$
$6 - 10$	$8$
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$26 - 30$	$20$
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Compute the mode of the given data.

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Compute the mode of the following data: Class0−2020−4040−6060−8080−100Frequency251628205

Here the maximum frequency is 28, Then the corresponding class 40-60 is the modal class l = 40, h = 60 - 40 = 20, f = 28, f1 = 16, f2 = 20 Mode = l+[(f−f1)/(2f−f1−f2)]×h =40+[(28-16)/(56-16-20)]×20 =40+(12/20)×20 =52

Compute the mode of the following data:
$\begin{matrix} Class & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 Frequency & 25 & 16 & 28 & 20 & 5 \end{matrix}$

Here the maximum frequency is 28,
Then the corresponding class 40-60 is the modal class l = 40,
h = 60 - 40 = 20,
f = 28, f₁ = 16, f₂= 20 Mode = l+[(f−f1)/(2f−f1−f2)]×h
=40+[(28-16)/(56-16-20)]×20
=40+(12/20)×20
=52