Question

From ODI series between team A and team B, we have a comparison of scores between Ramesh and Sam.

$$\begin{array}{ccc}\text{ODI}& \text{Ramesh}& \text{Sam}\\ \text{First}& 95& 55\\ \text{Second}& 104& 111\\ \text{Third}& 154& 125\\ \text{Fourth}& 23& 55\\ \text{Fifth}& 104& 109\end{array}$$

(i) What is the average score of Ramesh.
$\left[1Mark\right]$
(ii) What is the average score of Sam.
$\left[1Mark\right]$
(iii) What's the median of Ramesh's and Sam's score separately.
$\left[2Marks\right]$

OR

What's the mode of Ramesh's and Sam's score separately.
$\left[2Marks\right]$

Answer 1

Solution:
(i)
To calculate Ramesh’s average in the ODI series.
First of all, we have to sum up the runs scored in every match i.e.
95 + 104 + 154 + 23 + 104 = 480.
Now for average, this sum has to be divided by the total matches played i.e 5.
So, Ramesh’s average = $\frac{480}{5}$ = 96.
(1 mark)
(ii)
Similarly for Sam’s average, we have the sum of runs as
55 + 111 + 125 + 55 + 109 = 455.
So, Sam’s average = $\frac{455}{5}$ = 91.
(1 mark)
(iii)
Median of odd no. of observation = (n+1)/2 th term of an arranged data.
let's arrange the scores of Ramesh and Sam in ascending order.
Ramesh: 23, 95, 104,104, 154
Sam: 55, 55, 109, 111, 125
so, median of Ramesh = 104 and median of Sam is 109 (3rd term of the arranged data)
(2 marks)
OR

Mode of a dataset is the most frequently occuring observation from the dataset.
Ramesh: 23, 95, 104,104, 154
Sam: 55, 55, 109, 111, 125
so, Mode of Ramesh's score = 104 and of Sam score is 55.
(2 marks)