Question

question 3 suppose that 20 students take a statistics exam worth 100 points. the standard deviation of the exam scores is 5 points. which one of the following statements gives the most reasonable description of the distribution of exam scores? all of the individual scores are five points apart. the difference between the highest and lowest score is 5. a typical score is within 5 points of the mean. the difference between q3 and q1 is 5.

Explanation:

Step1: Recall the meaning of standard - deviation

Standard deviation measures the amount of variation or dispersion of a set of values. A standard deviation of 5 points means that a typical score is within 5 points of the mean.

Step2: Analyze other options

The difference between Q3 and Q1 (inter - quartile range) is not directly related to the standard deviation. The difference between the highest and lowest score (range) is also a different measure of spread and not equivalent to standard deviation. And it's not correct to say all individual scores are five points apart.

Answer:

A typical score is within 5 points of the mean.