Algebra 1 Statistics Review

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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.

Tags

CCSS.6.SP.B.5C

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How do you calculate the range of a data set?

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

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CCSS.HSS.ID.A.1

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What is the median of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does standard deviation measure?

Back

Standard deviation measures how spread out the values in a data set are from the mean. A low standard deviation indicates 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.

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What is a box plot?

Back

A box plot is a graphical representation of a data set that shows the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. It helps visualize the distribution and spread of the data.

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CCSS.HSS.ID.A.1

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What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of a data set. It represents the 25th percentile, meaning 25% of the data falls below this value.

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CCSS.6.SP.B.5C

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What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of a data set. It represents the 75th percentile, meaning 75% of the data falls below this value.

Tags

CCSS.6.SP.B.5C

Front

What does it mean if a data set has a high standard deviation?

Back

A high standard deviation indicates that the data points are spread out over a wide range of values, meaning there is a lot of variability in the data.

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What is the purpose of using a median in data analysis?

Back

The median is used to find the central tendency of a data set, especially when the data contains outliers that could skew the mean.

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Front

How do you find the interquartile range (IQR) using Q1 and Q3?

Back

To find the interquartile range (IQR), subtract the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C