Measures of the Spread of the Data · Exercise 23

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows:

• 3
• 8
• –1
• 2
• 0
• 5
• –3
• 1
• –1
• 6
• 5
• –2

(a) What is the mean change score?
(b) What is the standard deviation for this population?
(c) What is the median change score?
(d) Find the change score that is 2.2 standard deviations below the mean.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §2.7 Measures of the Spread of the Data · Exercise 23