Which of the following is true for a median?Group of answer choicesA median is only meaningful for interval or ordinal data and not for ratio data.Medians can be calculated no matter how the data is arranged.Medians are affected by outliers.For an even number of observations, the median is the mean of the two middle numbers.
Question
Which of the following is true for a median?Group of answer choicesA median is only meaningful for interval or ordinal data and not for ratio data.Medians can be calculated no matter how the data is arranged.Medians are affected by outliers.For an even number of observations, the median is the mean of the two middle numbers.
Solution
A median is only meaningful for interval or ordinal data and not for ratio data.
- This statement is true. The concept of a median is applicable to data that can be ordered or ranked, such as interval or ordinal data. Ratio data, on the other hand, involves a meaningful zero point and does not have a natural order, so the concept of a median is not applicable.
Medians can be calculated no matter how the data is arranged.
- This statement is true. Unlike the mean, which is affected by the arrangement of data, the median can be calculated regardless of how the data is arranged. It only depends on the middle value(s) of the data set.
Medians are affected by outliers.
- This statement is true. Outliers, which are extreme values that differ significantly from the rest of the data, can affect the value of the median. However, compared to the mean, the median is less sensitive to outliers because it only considers the middle value(s) and is not influenced by extreme values.
For an even number of observations, the median is the mean of the two middle numbers.
- This statement is true. When there is an even number of observations, the median is calculated by taking the average of the two middle numbers. This ensures that the median represents the central tendency of the data set.
Similar Questions
The median is the middle number in a sorted set of data. If there are an even number of data points, the median is the average of the two middle numbers.Group of answer choicesTrueFalse
In grouped data, what is the median?
Which of the following is NOT a characteristic of the median?It divides a data set into two equal parts.It is the most frequently occurring value.It is less affected by extreme values.It is the middle value when data is arranged in order
Which phrase BEST describes the median?a measure of center that tells you the value(s) that appear most often in the data seta measure of center that shows the largest data pointa measure of center that is the average value of the dataa measure of center that reveals the middle value after the data set is ordered from least to greatest
Which of the following statements about the median is not true?Question 13Select one:a.It is equal to the mode in bell-shaped "normal" distributionsb.It is equal to Q2c.It is more affected by extreme values than the meand.It is a measure of central tendency
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