Question

The following distribution gives the daily income of 50 workers of a

factory

Daily income 400-

420

420-440 440-460 460-480 480-500

Number of

workers

12 14 8 6 10

Convert this distribution to less than type of cumulative frequency

distribution and draw its ogive.​

Answer 1

Step-by-Step Solution:

$\begin{tabular}{|c|c|c|} \cline{1-3} \textbf{Daily income in Rs} & \textbf{Number of workers (f)} & \textbf{Cumulative Frequency (CF)} \\ \cline{1-3}less\:than\: 420 & 12 & 12 \\ \cline{1-3} less\:than\: 440 & 14 & 26\\ \cline{1-3} less\:than\: 460 & 8 & 34\\ \cline{1-3} less\:than\: 480 & 6 & 40 \\ \cline{1-3} less\:than\: 500 & 10 & 50 \\ \cline{1-3} Total & 50 & \\ \cline{1-3} \end{tabular}$

Coordinates to draw less than ogive are

A (420,12)

B(440,26)

C(460,34)

D(480,40)

E(500,50)

Taking x-axis as Daily income and Y-axis as number of workers.

Now mark these points and draw a free hand shape.

Hope it helps you.