Examine the statements below and justify if the statement is always true, sometimes true, or never true. Class 8

Examine the statements below and justify if the statement is always true, sometimes true, or never true. Class 8

Question 1.

Examine the statements below and justify if the statement is always true, sometimes true, or never true. Class 8

(i) Removing a value less than the median will decrease the median.

(ii) Including a value less than the mean will decrease the mean.

(iii) Including any 4 values will not affect the median.

(iv) Including 4 values less than the median will increase the median.

Solution:

(i) Never true

(ii) Always true.

(iii) Sometimes true

(iv) Never true.

Question 2.

The mean of the numbers 8, 13, 10, 4, 5, 20, y, 10 is 10.375. Find the value of y. Class 8

Solution:

We have :

[latex]\frac{8+13+10+4+5+20+y+10}{8}[/latex] = 10.375.

So, 8 × 10.375 = 70 + y, or 83 = 70 + y

So, y = 83 - 70 = 13.

Question 3.

The mean of a set of data with 15 values is 134. Find the sum of the data. Class 8

Solution:

Sum = 15 × 134 = 2010.