Unit 2.5 Review Part 2

Front

What is a box-and-whisker plot?

Back

A box-and-whisker plot is a graphical representation of a dataset that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. It helps visualize the distribution and identify outliers.

Front

How do you find the median of a dataset?

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 are quartiles in statistics?

Back

Quartiles are values that divide a dataset into four equal parts. Q1 is the first quartile (25th percentile), Q2 is the median (50th percentile), and Q3 is the third quartile (75th percentile).

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). It measures the spread of the middle 50% of the data.

Front

How do you calculate the Z-score?

Back

The Z-score is calculated using the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. It indicates how many standard deviations a value is from the mean.

Front

What does a Z-score of -2.33 indicate?

Back

A Z-score of -2.33 indicates that the value is 2.33 standard deviations below the mean of the dataset.

Front

What is the purpose of a box-and-whisker plot?

Back

The purpose of a box-and-whisker plot is to summarize a dataset visually, showing its central tendency, variability, and potential outliers.

Front

What is the significance of the median in a dataset?

Back

The median is significant as it represents the middle value of a dataset, providing a measure of central tendency that is less affected by outliers than the mean.

Front

How do you interpret the interquartile range?

Back

The interquartile range (IQR) indicates the range within which the central 50% of the data lies. A smaller IQR suggests less variability, while a larger IQR indicates more spread in the data.

Front

What does it mean if two companies have the same median salary?

Back

If two companies have the same median salary, it means that the middle salary of their employees is identical, indicating similar central tendencies in their salary distributions.