Chapter 4A Questions

In a negatively skewed distribution, explain the values of mean, median, and mode

The mean is smaller than the median and the median is smaller than the mode

What is the median of an ordered set with 30 observations

The average of the 15th and 16th observation

In a positively skewed distribution, explain the values of mean, median, and mode

The mean is bigger than the median and the median is bigger than the mode

In a bell-shaped distribution, explain the values of mean, median, and mode

There are no differences b/w the three values

The median of a set of data is more representative than the mean when the mean is larger than most of the observations. (TRUE OR FALSE)

True

How do you get the sum of observations using mean and observations?

Value of mean * number of observations = sum of observations

The average score for a class of 30 students was 75. The 15 male students in the class averaged 70. *The 15 female students in the class averaged:*

80 (HINT: how do you find the sum of observations with the numbers given)

Which of the following statements is true? (A) When the distribution is positively skewed, mean < median < mode. (B) When the distribution is negatively skewed, mean > median > mode. (C) When the distribution is symmetric and unimodal, mean = median = mode. (D) When the distribution is symmetric and bimodal, mean = median = mode.

C (When the distribution is symmetric and unimodal, mean = median = mode.)

A data sample has a mean of 107, a median of 122, and a mode of 134. The distribution of the data is positively skewed (TRUE OR FALSE)

False

Which measure of central location is not (most least) sensitive to extreme values?

Median

Which measure(s) of central location is/are meaningful when the data are ordinal?

Median and mode