(i) The following distribution gives the daily wages of 60 workers of a factory.

Use graph paper to answer this question.
Take 2 cm = 100 along one axis and 2 cm = 2 workers along the other axis.
Draw a histogram and hence find the mode of the given distribution.


(ii) The 5th term and the 9th term of an Arithmetic Progression are 4 and —12 respectively.
Find:
(a) the first term
(b) common difference
(c) sum of 16 terms of the AP.

(iii) A and B are two points on the x-axis and y-axis respectively.

(a) Write down the coordinates of A and B.
(b) Pisa point on AB such that AP : PB = 3 : 1. Using section formula find the coordinates of point P.
(c) Find the equation of a line passing through P and perpendicular to AB.

Solution

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