Find the Mean and Mode of the following data : Class 4-8 8-12 12-16 16-20 20-24 24-28 28-32 32-36 Frequency 2 12 15 25…

CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 5 Marks · March 2025 · Standard

Solve it yourself first — then press ↓ or tap Show Solution. Use ← → for previous / next question.

545 Marks · March 2025 · Standard

Find the Mean and Mode of the following data :
Class
$4-8$
$8-12$
$12-16$
$16-20$
$20-24$
$24-28$
$28-32$
$32-36$
Frequency
$2$
$12$
$15$
$25$
$18$
$12$
$13$
$3$

Show SolutionHide Solution↓

Correct table ($1\frac{1}{2}$)
Mean $= 22 + \frac{(-52)}{100} \times 4$ ($1$)
$= 19.92$ ($1/2$)
Modal Class is $16 - 20$ ($1/2$)
Mode $= 16 + \left(\frac{25-15}{2\times25-15-18}\right) \times 4$ ($1\frac{1}{2}$)
$= \frac{312}{17}$ or $18.35$ approx.