Asked by Christin Kifer on Sep 23, 2024
Verified
Which of the following statements about the mean is not always correct?
A) The sum of the deviations from the mean is zero.
B) Half of the observations are on either side of the mean.
C) The mean is a measure of the central location.
D) The value of the mean times the number of observations equals the sum of all observations.
Deviations
Differences between observed values and some reference value, often the mean of the data set.
Observations
In statistics, these are the individual data points or measured values gathered during a study or experiment.
Central Location
A central location refers to a primary or focal point in geography or spatial distribution, often used in market research for data collection.
- Distinguish between central tendency metrics and variability metrics.
Verified Answer
AM
Ariane Mazibuko5 days ago
Final Answer :
B
Explanation :
Half of the observations are not always on either side of the mean. This is only true for symmetric distributions. In skewed distributions, the mean may be pulled in one direction or the other by extreme values, making it so that more or less than half of the observations are on either side.
Learning Objectives
- Distinguish between central tendency metrics and variability metrics.