Question

Q2. 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?
(ii) Which number is the lowest?
(ii) What is the range of the data?
(iv) Find the arithmetic mean.​

Answer 1

i) 9 is the highest number.

ii) 1 is the lowest number.

iii) Range of the data  = 8

iv) Arithmetic Mean = 5

Step-by-step explanation:

4, 6, 7, 5, 3, 5, 4, 5, 2, 6,

2, 5, 1, 9, 6, 5, 8, 4, 6, 7 is the given data.

Now,

i) As we can see from all single digit numbers, 9 is the highest number.

ii) Among the given single digit numbers, 1 is the lowest number.

iii) Range of the data is given by

Highest value - Lowest value

So, range of the data =  9 - 1  = 8

(iv) $\textrm{Mean} = \frac{\textrm{Sum of the observation}}{\textrm{Number of observations}}$

Now, sum of the observation = 4 +  6 +  7+  5 +  3 + 5+  4+  5+  2+ 6+  2 + 5+ 1+  9 + 6+  5+  8+  4+  6+  7  = 100

So, mean = 100/ 20 = 5