Question

2.
The daily wages of 60 workers in a project are given below:
Wages in 135-140 140-145 145-150 150-155
No. or workers 4
8
20
14
160-165
155-160
7
16
165-170
1
6
Use a graph to draw an ogive for the above distribution. Use your graph to estimate
(i) the median wages of the workers
(ii) lower quartile wage of workers
(iii) the number of workers whose wages exceeds 158 daily.
​

Answer 1

Step-by-step explanation:

Answer

The lower Quartile position is found by:

Q

1

=

4

60+1

=15.25

That is to be interpreted as, if the class is put in a line in order of increasing heights from left to right, then the lower quartile range corresponds to the height range of the first 15 boys (that is the 1st quarter).

So, we find the point on the y-axis that corresponds to 15.25.

That would be the point 3.05 on the y-axis.

Next, we find the point on the x-axis which corresponds to the point on y-axis which was found above.

This is shown on the graph.

The required point on the x-axis is 29.125.

Thus. the lower quartile range is 27−29.125.

This corresponds to heights 135−146.625cm.