question_answer 2)

Organise the following marks in a class assessment in a tabular form. 4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7 (i) Which number is the highest?    (ii) Which number is the lowest? (iii) What is the range of the data?   (iv) Find the arithmetic mean.

Answer:

               

4	6	7	5	3	5	4	5	2	6
2	5	1	9	6	5	8	4	6	7

(i) Highest number is 9. (ii) Lowest number is 1. (iii) Range of the data = Highest observation - Lowest observation = 9 ? 1 = 8 (iv) \[\text{Arithmetic mean =}\frac{\text{sum of all observations}}{\text{number of observations}}\] \[=\underset{{}}{\mathop{\frac{\begin{align}   & \text{4+6+7+5+3+5+4+5+2+6} \\  & \text{+2+5+1+9+6+5+8+4+6+7} \\ \end{align}}{20}}}\,=\frac{100}{20}=5\]