Find out if the class average marks in Odia is greater than the class average marks in Telugu. Class 8

Find out if the class average marks in Odia is greater than the class average marks in Telugu. Class 8

Question 1.

Find out if the class average marks in Odia is greater than the class average marks in Telugu. Class 8

Solution:

Class average in Odia

= [latex]\frac{25+41+29+47+33+27+16}{7}[/latex]

= [latex]\frac{218}{7}[/latex]

Class average in Telugu

= [latex]\frac{39+43+31+46+35+29+19}{7}[/latex]

= [latex]\frac{242}{7}[/latex]

No, class average marks in Odia is not greater than that of Telugu, because

[latex]\frac{218}{7}[/latex] < [latex]\frac{242}{7}[/latex]

Question 2.

Find the mean of the following data and share your observations : Class 8

(i) The first 50 natural numbers.

(ii) The first 50 odd numbers.

(iii) The first 50 multiples of 4.

Solution:

(i) Sum of first 50 natural numbers

= 1 + 2 + 3 + ...+ 50 = 1275

So, their mean = [latex]\frac{1275}{50}[/latex] = [latex]\frac{255}{10}[/latex] = [latex]\frac{51}{2}[/latex] = 25.5.

(ii) Sum of first 50 odd numbers

= 1 + 3 + 5 + ... = 50²

= 2500

So, their mean = [latex]\frac{2500}{50}[/latex] = 50.

(iii) Sum of first 50 multiples of 4

= 4 + 8 + 12 + ... + 200

= 5100

So, their mean [latex]\frac{5100}{50}[/latex] = 102.