Question

see the attachment

Don't answer/spam if you are not known to such questions​

Answer 1

To draw a ogive curve, we construct the less than cumulative frequency table as given in the first pic..

The points to be plotted for less than ogive are (15,8) , (20,22) , (25,30) , (30,55) , (35,70) , (40,84) , (45,90).

See the 2nd pic for graph...

n = 90

For median, consider

$\frac{n}{2} = \frac{90}{2} = 45$

For D3, consider

$\frac{3n}{10} = \frac{3 \times 90}{10} = 27$

For P35, consider

$\frac{35n}{100} = \frac{35 \times 90}{100} = 31.5$

Therefore, we take the values 45, 27 and 31.5 on the Y-axis and draw lines from these points parallel to X-axis. From the points where they intersect the less than ogive, we draw perpendicular on the X-axis. Foot of the perpendicular represents the value of median, D3 and P35 respectively.

Therefore, Median = 29, D3 = 23.5, P35 = 26

Hope it helped you...

Thank you !!!