The three dot plots below show the lengths, in minutes, of songs of different albums. Which of these has a mean of 5.57 minutes? Class 8

The three dot plots below show the lengths, in minutes, of songs of different albums. Which of these has a mean of 5.57 minutes? Class 8

Question 1.

The three dot plots below show the lengths, in minutes, of songs of different albums. Which of these has a mean of 5.57 minutes? Explain how you arrived at the answer. Class 8

Solution:

(A) has the mean 5.57, because (B) and (C) both have time less than of 5 minutes.

Question 2.

Find the median of 8, 10, 19, 23, 26, 34, 40, 41, 41, 48, 51, 55, 70, 84, 91, 92. Class 8

(i) If we include one value to the data (in the given list) without affecting the median, what could that value be?

(ii) If we include two values to the data without affecting the median what could the two values be?

(iii) If we remove one value from the data without affecting the median what could the value be?

Solution:

There are 16 observations.

Median = [latex]\left(\frac{8 \mathrm{th}+9 \mathrm{th}}{2}\right)[/latex] observations

= [latex]\frac{41+41}{2}[/latex] = 41

(i) If we include any value less than or equal to 41, then the median will remain the same.

(ii) If we include two values each equal to 41 or one value less than 41 and the other value greater than or equal to 41, then the median will remain the same 41.

(iii) If we remove any of these given values, median will remain the same.