Calculate and mark the mean of each collection of data below? Class 8

Calculate and mark the mean of each collection of data below? Class 8

Question 1.

Calculate and mark the mean of each collection of data below? Class 8

Solution:

(i) Mean = [latex]\frac{6+7+8}{3}[/latex] = 7

(ii) Mean = [latex]\frac{3+6+9}{3}[/latex] = 6

(iii) Mean = [latex]\frac{2+4+8}{3}[/latex] = 5

(iv) Mean = [latex]\frac{4+11+15}{3}[/latex] =10

Question 2.

Can you explain how the mean is the centre of each collection? Class 8

Solution:

Mean is not at the mid-point of the extreme values, but it is nearly at the centre of each collection.

Question 3.

Mark the mean for the collections below. Class 8

Solution:

(i) Mean = [latex]\frac{11+13+17+19}{4}[/latex] = [latex]\frac{60}{4}[/latex] = 15.

(ii) Mean = [latex]\frac{5+6+15+16}{4}[/latex] = [latex]\frac{42}{4}[/latex] = 10.5.

(iii) Mean = [latex]\frac{2 \times 10+11+17}{4}[/latex] = [latex]\frac{48}{4}[/latex] = 12.

(iv) Mean = [latex]\frac{3+5+10+12}{4}[/latex] = [latex]\frac{30}{4}[/latex] = [latex]\frac{15}{2}[/latex] = 7.5