Question

Electricity used by some families is shown in the following table. Find the mode for use of electricity.
Use of electricity No. of families
(Unit)
0-20 : 13
20-40 : 50
40-60 : 70
60-80 : 100
80-100 : 80
100-120 : 17

Answer 1

Answer:

Mode=72 unit

Step-by-step explanation:

$\begin{tabular}{|c|c|c|}</p><p>\cline{1-3}</p><p>Class interval & Frequency(fi) & Remark \\ \cline{1-3}</p><p>0-20 & 13 & \\ \cline{1-3}</p><p>20-40 & 50 & \\ \cline{1-3}</p><p>40-60 & 70 & f_0 \\ \cline{1-3}</p><p>60-80 & 100 & \begin{tabular}[c]{@{}c@{}}Modal\\ Class\\ f_1\end{tabular} \\ \cline{1-3}</p><p>80-100 & 80 & f_2 \\ \cline{1-3}</p><p>100-120 & 17 & \\ \cline{1-3}</p><p>Total & & \\ \cline{1-3}</p><p>\end{tabular}$

Modal class:60-80

l= 60

h= 20

f0=70

f1=100

f2=80

$Mode = l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h \\ \\ = 60 + \frac{1 00 -70 }{200 - 70 - 80} \times 20 \\ \\ = 60 + \frac{30}{50} \times 20 \\ \\ = 60 + 12 \\ \\ = 72$

Mode=72 unit

Hope it helps you.