Median and Interquartile Range Flashcard

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of values, the median is the average of the two middle values.

Front

Is the median always equal to one of the values in the data set?

Back

False. The median may not be one of the actual values in the data set, especially when the number of values is even.

Front

How does changing the smallest values in a data set affect the median?

Back

Changing the smallest values does not affect the median if the number of values remains the same and the new values are still smaller than the current median.

Front

What is the formula for calculating the interquartile range (IQR)?

Back

IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile.

Front

What does the range of a data set represent?

Back

The range represents the difference between the maximum and minimum values in the data set.

Front

If a data set has a minimum of 1 and a maximum of 9, what is the range?

Back

The range is 9 - 1 = 8.

Front

What is the significance of the first quartile (Q1)?

Back

Q1 is the median of the lower half of the data set and represents the 25th percentile.

Front

What is the significance of the third quartile (Q3)?

Back

Q3 is the median of the upper half of the data set and represents the 75th percentile.

Front

How do you find the median of an even set of numbers?

Back

To find the median of an even set, average the two middle numbers after sorting the data.

Front

What is the relationship between the median and the mean in a skewed distribution?

Back

In a skewed distribution, the median is less affected by outliers and may be a better measure of central tendency than the mean.