Question
Calculate the mean of the distribution given below using the short cut method.
Marks $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$ $51 - 60$ $61 - 70$ $71 - 80$
No. of students $2$ $6$ $10$ $12$ $9$ $7$ $4$

Answer

Image
$\therefore \text { Mean }=A+\frac{\sum f d}{\sum f}$
$=45.5+\frac{70}{50}$
$=45.5+\frac{7}{5}$
$=\frac{227.5+7}{5}$
$=\frac{234.5}{5}$
$=46.9$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find the perimeter and area of the shaded portion of the following diagram; give your answer correct to $3$ significant figures. (Take $\pi = 22/7).$
Solve the following equation by factorization$\frac{x-3}{x+3}+\frac{x+3}{x-3}=2 \frac{1}{2}$
Draw an ogive for the following data:
Marks0 - 1010 - 2020 - 3030 - 4040 - 5050 - 60
No. of students710235163
The line segment joining the points $(3,-4)$, and $(1,2)$ is trisected at the points P and Q . If the coordinates of P and Q are $(p,-2)$ and $\left(\frac{5}{3}, q\right)$ respectively, find the values of $p$ and $q$.
In the given figure, AB is the diameter of the circle, with centre O, and AT is the tangent. Calculate the numerical value of x.
If $x^3 + ax^2 + bx + 6$ has $x\  – 2$ as a factor and leaves a remainder $3$ when divided by $x – 3,$ find the values of $a$ and $b$.
Draw a circle of radius 2. 5 cm and circumscribe a square about it.
The volume of a conical tent is $1232 \mathrm{~m}^3$ and the area of the base floor is $154 \mathrm{~m}^2$. Calculate the:
(a) radius of the floor.
(b) height of the tent.
(c) length of the canvas required to cover this conical tent, if its width is 2 m .
The difference of the squares of two natural numbers is 84 . The square of the larger number is 25 times the smaller number. Find the numbers.
The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the median and mode of the distribution.
Marks obtained5678910
Number of students396421