Achieve Assignment Measures of Dispersion

The arithmetic average of the squared deviations from the mean

Choose the best definition for the population variance.

The sum of the squared deviations from the mean divided by one less than the sample size

Choose the best definition for the sample variance

Range

The difference between the largest and the smallest values in a data set is called the

Average

The mean absolute deviation is the .... of the absolute values of the deviations from the mean.

The ages of 25 randomly selected people enjoying a sunny day at the park

Which of the data sets below is likely to have the largest variance

1. Knowing that a data set is highly clustered indicates that most of the values will fall near the center 2. Studying the dispersion allows will tell us how clustered the data are around the center 3. Dispersion measures indicate how spread out the data values are.

Which of the following statements are reasons to study the dispersion of data?

1. It is easy to interpret 2. It can be a useful measure of dispersion for very small sets of data 3. It is easy to calculate.

Which of the following statements describe strengths of the range as a measure of dispersion?

1. Several data sets that have very different levels of dispersion could easily have the same range 2. It is insensitive to differences in dispersion for data sets that have similar differences between their smallest and largest values. 3. It only uses two values from the data set.

Which of the following statements describe weaknesses of the range as a measure of dispersion?