The following data represent a sample of 10 scores on a 20-point statistics quiz: 16, 16, 16, 16, 16, 18, 18, 20, 20, and 20. After the mean, median, range and variance were calculated for the scores, it was discovered that one of the scores of 20 should have been an 18. Which of the following will change when the calculations are redone using the correct scores?
A) mean and range
B) median and range
C) mean and variance
D) range and variance
E) mean, range, median and variance

Question

Quizplus · Accepted Answer

The mean will change because the total sum of the scores will decrease, affecting the average. The variance will also change because the spread of the data around the new mean will be different. The median will not change because it will still be 16, and the range will not change because the highest and lowest scores (20 and 16, respectively) remain the same.

The Following Data Represent a Sample of 10 Scores on a 20-Point