statistic 104 : Urgent Assignments

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Chapter 4 Choosing an Appropriate Measure of Central Tendency Exercise

In this exercise, you will work through different scenarios to determine which measure of central tendency is most appropriate.

1. Depending on the scale of measurement, indicate the most appropriate measure for central tendency for each of the following dependent variables.

(a) The time (in seconds) it takes rat subjects to attain reinforcement.

(b) The preference ranking for five different ringtones.

(d) The number of children liking cereals containing one of three prizes.

(e) The income of individuals with no health insurance.

(f) The age (in years) that participants tried their first cigarette.

(g) The order in which participants complete an endurance task.

(h) The number of children in single- or two-parent homes.

(i) The ranking of the effectiveness of four types of learning exercises.

2. Given the following values of the mean and median, state the likely shape of the distribution and which measure should be used to summarize it.

(a) mean = 4, median = 4 _______________

(b) mean = 12, median = 2 _______________

(d) mean = 6, median = 14 _______________

(e) mean = 10, median = 3 _______________

(f) mean = 8, median = 8 _______________

3. Draw a negatively skewed, positively skewed, and normal distribution. Mark the location of the mean, median, and mode for each distribution.