Statistics - Chapter 2 Test Part 2

Front

What is the 1.5 x IQR rule?

Back

The 1.5 x IQR rule is a method used to identify outliers in a data set. It states that any data point that lies more than 1.5 times the interquartile range (IQR) above the third quartile or below the first quartile is considered an outlier.

Front

How do you calculate the median of a data set?

Back

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

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) in a data set. It measures the spread of the middle 50% of the data.

Front

How do you find the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of the data set. It represents the 25th percentile.

Front

How do you find the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of the data set. It represents the 75th percentile.

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins).

Front

What does it mean if a data set has no outliers?

Back

If a data set has no outliers, it means that all data points fall within the acceptable range defined by the IQR rule, indicating a consistent distribution.

Front

How do you interpret a box plot?

Back

A box plot visually summarizes the distribution of a data set by displaying the median, quartiles, and potential outliers. The box represents the IQR, while the lines (whiskers) extend to the smallest and largest values within 1.5 x IQR.

Front

What is the mean absolute deviation (MAD)?

Back

The mean absolute deviation (MAD) is the average of the absolute differences between each data point and the mean of the data set. It measures the dispersion of the data.

Front

How do you determine the number of students scoring within a specific range?

Back

To determine the number of students scoring within a specific range, count the frequency of data points that fall within that range in a frequency distribution or histogram.