Find the mode for the following data- begin array - c - c - Wline0-10 - 16 Whline10-20 - 20 Whhe 20-30 - 32 Whline 30-40 - 48 Wllhline40-50 - 30 whline50-60 - 14 Whline array -2 MARKS-

Concept: 1 Mark Application: 1 Mark Modal Class is 30 40 Mode =I+(f_1 f_0/2f_1 f_0 f_2) × h =30+ 48 32/96 32 30× 10 =34.71 ...

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Standard X

Mathematics

Mode for Grouped Data

Find the mode...

Question

Find the mode for the following data.

$\begin{matrix} Class interval & Frequency 0 - 10 & 16 10 - 20 & 20 20 - 30 & 32 30 - 40 & 48 40 - 50 & 30 50 - 60 & 14 \end{matrix}$
[2 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark

Modal Class is 30-40

Mode
$= I + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 30 + \frac{48 - 32}{96 - 32 - 30} \times 10$

$= 34.71$

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Find the mode for the following data. Class intervalFrequency0−101610−202020−303230−404840−503050−6014 [2 MARKS]

Concept: 1 Mark Application: 1 Mark Modal Class is 30-40 Mode =I+(f1−f02f1−f0−f2)×h =30+48−3296−32−30×10 =34.71

Find the mode for the following data.

$\begin{matrix} Class interval & Frequency 0 - 10 & 16 10 - 20 & 20 20 - 30 & 32 30 - 40 & 48 40 - 50 & 30 50 - 60 & 14 \end{matrix}$
[2 MARKS]

Concept: 1 Mark
Application: 1 Mark

Modal Class is 30-40

Mode
$= I + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 30 + \frac{48 - 32}{96 - 32 - 30} \times 10$

$= 34.71$