Statistics Chapter 1 Review

Front

What is the median in a data set?

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 calculate the Interquartile Range (IQR)?

Back

The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). IQR = Q3 - Q1.

Front

What does the 57th percentile represent?

Back

The 57th percentile indicates that 57% of the data points fall below this value.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

What is a stem-and-leaf plot?

Back

A stem-and-leaf plot is a method of displaying quantitative data in a graphical format, similar to a histogram, to retain the original data values while showing their distribution.

Front

How do you find the first quartile (Q1)?

Back

Q1 is the median of the lower half of the data set (excluding the median if the number of observations is odd). It represents the 25th percentile.

Front

How do you find the third quartile (Q3)?

Back

Q3 is the median of the upper half of the data set (excluding the median if the number of observations is odd). It represents the 75th percentile.

Front

What is the purpose of using percentiles in statistics?

Back

Percentiles are used to understand the relative standing of a value within a data set, indicating how a particular score compares to the rest of the data.

Front

What does it mean if a distribution has a small standard deviation?

Back

A small standard deviation indicates that the data points are clustered closely around the mean, suggesting less variability in the data.

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set. It is calculated as Range = Maximum - Minimum.