(i) The table given below shows the runs scored by a cricket team during the 31 overs of a match.

Use graph sheet for this question.
Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.
(a) Draw a histogram representing the above distribution.
(b) Estimate the modal runs scored.

(ii) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.

(iii) The roots of equation (q-r) x² + (r - p) x + (p - q) = 0 are equal. Prove that: 2g = p + r, that is, p, g & r are in A.P.

Solution

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