Mathematics
The table given below shows the ages of members of a society.
| Age (in years) | Number of members of society |
|---|---|
| 25-35 | 05 |
| 35-45 | 32 |
| 45-55 | 69 |
| 55-65 | 80 |
| 65-75 | 61 |
| 75-85 | 13 |
(a) Draw a histogram representing the above distribution.
(b) Estimate the modal age of the members.
Answer
Steps of construction :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and D of adjacent rectangles.
Through the point K (the point of intersection of diagonals AC and BD), draw KL perpendicular to the horizontal axis.
The value of point L on the horizontal axis represents the value of mode.
From graph,
L = 59 years
Hence, required mode = 59 years.
Related Questions
In the given figure, O is the centre of the circle and AB is a tangent to the circle at B. If ∠PQB = 55°.
(a) find the value of the angles x, y and z.
(b) prove that RB is parallel to PQ.
There are three positive numbers in Geometric Progression (G.P.) such that :
(a) their product is 3375
(b) the result of the product of first and second number added to the product of second and third number is 750.
Find the numbers.
The line segment joining A(2, -3) and B(-3, 2) is intercepted by the x-axis at the point M and the y-axis at the point N. PQ is perpendicular to AB at R and meets the y-axis at a distance of 6 units form the origin O, as shown in the diagram, at S. Find the :
(a) coordinates of M and N.
(b) coordinates of S
(c) slope of AB.
(d) equation of line PQ.
