Question

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

1. Which number is the highest?
2. Which number is the lowest?
3. What is the range of the data?
4. Find the arithmetic mean.

Answer 1

Marks	Tally marks	Frequency
1	I	1
2	II	2
3	I	1
4	III	3
5	`cancel(bb|bb|bb|bb|)`	5
6	III	4
7	II	2
8	I	1
9	I	1

i. Highest number = 9

ii. Lowest number = 1

iii. Range = (9 − 1) = 8

iv. Sum of all the observations = 4 + 6 + 7 + 5 + 3 + 5 + 4 + 5 + 2 + 6 + 2 + 5 + 1 + 9 + 6 + 5 + 8 + 4 + 6 + 7

= 100

Total number of observations = 20

Arithmetic mean = `"Sum of all the observations"/"Total number of the observations"`

= `100/20`

= 5