How Outliers Affect Measures of Central Tendency: Mean Quiz and Flashcards

Which of the following is not a measure of central tendency?

What is the key difference between ungrouped and grouped data?

Which measure of central tendency is most affected by outliers in the data?

What is the purpose of grouping data?

Which measure of central tendency is best suited for skewed data?

Which of the following is a measure of variability, not central tendency?

Which measure of central tendency is most affected by extreme outliers?

For data measured on a nominal scale, which measure of central tendency is meaningful?

Which measure of central tendency is most appropriate for ordinal data?

If an outlier value is replaced with a smaller value in a dataset, what happens to the mean?

Which measure of central tendency can be subjected to arithmetic calculations?

For which type of data are all three measures of central tendency (mean, median, and mode) applicable?

What symbol is used to represent the mean of a population?

What does x̄ represent in statistics?

Which measure of central tendency is determined by the score occurring most frequently in a distribution?

When more than one score occurs with the highest frequency, the distribution is considered:

In statistics, which letter represents 'the sum of'?

The central tendency of a dataset can be defined using three important measures: mean, median, and mode.
These measures provide a summary of the dataset, but do not provide information regarding individual data from the dataset.

Ungrouped data refers to the data in its original form, collected by the researcher.
Grouped data refers to data that is grouped together in different classes or intervals, making it more condensed.

The mean is the value most people refer to as the "average."
It is calculated as the sum of all the values in the dataset divided by the number of values (n).
The mean is a useful measure in describing skewed distributions.
The mean can be affected by extreme outliers, which can significantly increase or decrease the mean.

The choice of measure of central tendency depends on the scale of measurement of the variable.
The mean is most useful for interval or ratio scales.
The mode is meaningful for nominal scales.
Both the median and mode can be applied to ordinal data.

The symbol used to represent the mean of a population is the Greek letter mu, μ.
The mean of a sample is represented by x̄.
The formula for calculation of the sample mean from raw data is x̄ = ΣX / n.