Question

Mr Zuro finds the mean height of all 13 students in his statistics class to be 68.0inches. Danielle walks in late. Danielle is 72.2 inches tall. What is the mean height of the 14 students in the class​

Answer 1

68.3 inches

Explanation:

Let the sum of the original 13 students heights be S, so the average of their heights are S/13.

We are given that average height of the original 13 students heights is 68 inches, so S/13 = 68 -> S = 68*13 = 884 inches.

The average of the heights of all 14 students is the sum of all 14 students (S + Danielle’s height) divided by 14. We are given that Danielle’s height is 72.2 inches, so the mean height of all 14 students is:

(S+72.2)/14 = (884+72.2)/14 = 68.3 inches

I hope this helps! :)