The table shows the distribution of the number of hours per day spent in studying by 50 students.

Calculate, correct to two decimal places,

the: (a) mean; (b) standard deviation.

In the diagram, PQRS is a circle. \(\overline{|PQ|}\) = \(\overline{|QS|}\). ∠SPR = 26° and the interior angles of PQS are in the ratio 2:3 :3.

Calculate: (i) PQR; (ii) RPQ; (iii) PRQ

(b) The coordinates of two points P and Q in a plane are (7, 3) and (5, x) respectively, where X is a real number.

If |PQ| = 29units, find the value of x.

(a) On Sam's first birthday celebration, his grandfather deposited an amount of S 1,000.00 in a bank compound at 4 % interest annually.

Find how much is in the account if Sam is 4 years old.

(b) In the diagram above, ABCD are points on the circle centre O. If |AB| = |BC| and ∠ADC= 50°, find ∠BAD.