Mixed Statistics Practice

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set.

Front

How do you calculate the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of a data set, representing the value below which 75% of the data falls.

Front

What does a box plot represent?

Back

A box plot visually displays the distribution of a data set, showing the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What is a skewed distribution?

Back

A skewed distribution is one where the data points are not symmetrically distributed, causing a longer tail on one side.

Front

What does it mean if a distribution is skewed left?

Back

If a distribution is skewed left, it has a longer tail on the left side, indicating that there are more lower values.

Front

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

Back

IQR = Q3 - Q1, where Q3 is the upper quartile and Q1 is the lower quartile.

Front

What is the median of the following data set: 36, 42, 28, 52, 48, 36, 31?

Back

The median is 36.

Front

How do you identify the shape of a distribution?

Back

The shape of a distribution can be identified by analyzing the frequency of data points and observing the symmetry or skewness.

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of a data set, representing the value below which 25% of the data falls.