Which measure of central tendency is most applicable for the variable gender? Explain your answer. (for a total of 8 marks) For the following set of scores, calculate the mean, median, mode, sum of squared deviations, variance, and standard deviation: 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0.
A developmental specialist studies the number of words seven infants have learned at a particular age. The numbers are 10, 12, 8, 0, 3, 40, and 18. Figure the mean, median, and standard deviation for the number of words learned by these seven infants. Explain what you have done and what the results mean to a person who has never had a course in statistics.
On a measure of artistic ability, the mean for college students in New Zealand is 150 and the standard deviation is 25.
Give the Z scores for New Zealand college students who score 100 and 160.
Give the raw scores for persons whose Z scores on this measure are -1.0 and +1.38.