QQuestion
Using graph paper, draw a histogram for the following distribution of marks obtained by 164 students and hence find the mode. Take 2 cm = 10 marks on one axis and 2 cm = 10 students on the other.
| Marks | Number of students |
|---|---|
| 30–40 | 10 |
| 40–50 | 26 |
| 50–60 | 40 |
| 60–70 | 54 |
| 70–80 | 34 |
Exam-ready answer • 03 Mark
✓Answer

From graph,
The Mode = L = 64 marks (approx.)
Hence, mode = 64.
Related Questions
More ICSE Moderate level questions
The first term of an Arithmetic Progression is 5, the last term is 50 and the sum is 440. Find: (a) the number of terms. (b) the common difference.
If 1701 is the nth term of the Geometric Progression 7, 21, 63, …, find: (a) the value of n. (b) hence, the sum of the n terms of the G.P.
The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 − n). Find: (a) its first term and common difference. (b) the sum of its first 25 terms.
15, 30, 60, 120, ... are in G.P. (a) Find the nth term of this G.P. in terms of n. (b) How many terms of the above G.P. will give the sum 945?
The 5th term and the 9th term of an Arithmetic Progression are 4 and −12 respectively. Find: (a) the first term (b) the common difference (c) the sum of 16 terms of the A.P.
For the following frequency distribution, find: (a) the mean, to the nearest whole number. (b) the median. x 10 11 12 13 14 15 16 f 3 2 2 6 3 5 3
A man bought ₹200 shares of a company at 25% premium. He received a return of 5% on his investment. Find: (a) the market value of one share. (b) the dividend percentage declared. (c) the number of shares purchased if the annual dividend is ₹1,000.
In the given graph, P and Q are points such that PQ cuts off intercepts of 5 units and 3 units along the x-axis and y-axis respectively. Line RS is perpendicular to PQ and passes through the origin. Find: (a) the coordinates of P and Q. (b) the equation of RS.
It is given that (x − 2) is a factor of 2x³ − 7x² + kx − 2. (a) Find k. (b) Hence, factorise the resulting polynomial completely.
Solve the quadratic equation 2x² − 5x − 4 = 0. Give your answers correct to three significant figures.
Using ruler and compass, construct △ABC where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct the circle circumscribing △ABC. Measure and write the radius of the circle.
Assertion (A): If sin² A + sin A = 1, then cos⁴ A + cos² A = 1. Reason (R): 1 − sin² A = cos² A. (a) A is true, R is false. (b) A is false, R is true. (c) Both A and R are true, and R is the correct reason for A. (d) Both A and R are true, and R is not the correct reason for A.
Small steps build strong concepts.