Probability and Statistics Unit 3 Test

Front

What is the median?

Back

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

Front

How do you find the median of a data set?

Back

1. Order the data from least to greatest. 2. If the number of observations is odd, the median is the middle number. If even, it is the average of the two middle numbers.

Front

What is an outlier in a data set?

Back

An outlier is a value that is significantly higher or lower than the other values in a data set. It can skew the results and affect statistical analyses.

Front

What are the five number summary components?

Back

The five number summary includes: Minimum, First Quartile (Q1), Median (Q2), Third Quartile (Q3), and Maximum.

Front

How do you calculate the range of a data set?

Back

The range is calculated by subtracting the smallest value from the largest value in the data set.

Front

What is a box plot?

Back

A box plot is a graphical representation of the five number summary of a data set, showing the distribution, central tendency, and variability.

Front

What does Q1 represent in a data set?

Back

Q1, or the first quartile, represents the median of the lower half of the data set, indicating that 25% of the data points are below this value.

Front

What does Q3 represent in a data set?

Back

Q3, or the third quartile, represents the median of the upper half of the data set, indicating that 75% of the data points are below this value.

Front

How do you identify an outlier using the IQR method?

Back

An outlier is identified if it is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR, where IQR is the interquartile range (Q3 - Q1).

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data.