$\begin{array}{c|c} Class Intervals & 0 - 2 & 3 - 5 & 6 - 8 & 9 - 11 & \\ \hline Frequency & 3 & 2 & 5 & 3 &\end{array}$
Find the mode of the above distribution.

Correct answer is D

Mode = L₁ + ( $\frac{D_1}{D_1 + D_2}$ )C

D₁ = frequency of modal class - frequency of the class before it

D₁ = 5 - 2 = 3

D₂ = frequency of modal class - frequency of the class that offers it

D₂ = 5 - 3 = 2

L₁ = lower class boundary of the modal class

L₁ = 5 - 5

C is the class width = 8 - 5.5 = 3

Mode = L₁ + ( $\frac{D_1}{D_1 + D_2}$ )C

= 5.5 + $\frac{3}{2 + 3}$ C

= 5.5 + $\frac{3}{5}$ x 3

= 5.5 + $\frac{9}{5}$

= 5.5 + 1.8

= 7.3 $\approx$ = 7

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Find the mode of the above distribution.

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$\begin{array}{c|c} Class Intervals & 0 - 2 & 3 - 5 & 6 - 8 & 9 - 11 & \\ \hline Frequency & 3 & 2 & 5 & 3 &\end{array}$
Find the mode of the above distribution.