Find the mode of the following data- Number of Plants 0-2 2-4 4-6 6-8 8-10 10-12 12-14- Number 1 3 2 4 5 3 2- -

The modal Class is 8 10 with the highest frequency of 5 Mode=I+(f_1 f_0/2f_1 f_0 f_2)×h =8+5 4/10 4 3×2 = 8.67 ...

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Standard IX

Mathematics

Finding Mode for Grouped Data When Class Intervals Are GivenÂ

Find the mode...

Question

Find the mode of the following data.

$\begin{matrix} N u m b e r o f P l a n t s & 0 - 2 & 2 - 4 & 4 - 6 & 6 - 8 & 8 - 10 & 10 - 12 & 12 - 14 N u m b e r & 1 & 3 & 2 & 4 & 5 & 3 & 2 \end{matrix}$

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Solution

The modal Class is 8-10 with the highest frequency of 5

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

=8+ $\frac{5 - 4}{10 - 4 - 3}$ $\times$ 2 = 8.67

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Similar questions

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Look at the green boxes in the chart. These show how we can get 12 by multiplying different numbers.

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Which method did you use for finding the mean, and why?

Question 1
A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

$\begin{matrix} Number of plants & 0 - 2 & 2 - 4 & 4 - 6 & 6 - 8 & 8 - 10 & 10 - 12 & 12 - 14 Number of Houses & 1 & 2 & 1 & 5 & 6 & 2 & 3 \end{matrix}$

Which method did you use for finding the mean, and why?

Q. Calculate the arithmetic average from the following data:

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Find the mode of the following data. Number of Plants0−22−44−66−88−1010−1212−14Number1324532

The modal Class is 8-10 with the highest frequency of 5 Mode=I+(f1−f02f1−f0−f2)×h =8+5−410−4−3×2 = 8.67

Find the mode of the following data.

$\begin{matrix} N u m b e r o f P l a n t s & 0 - 2 & 2 - 4 & 4 - 6 & 6 - 8 & 8 - 10 & 10 - 12 & 12 - 14 N u m b e r & 1 & 3 & 2 & 4 & 5 & 3 & 2 \end{matrix}$

The modal Class is 8-10 with the highest frequency of 5

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

=8+ $\frac{5 - 4}{10 - 4 - 3}$ $\times$ 2 = 8.67