5 number summary

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What is the 5 number summary?

Back

The 5 number summary consists of five key statistics that provide a quick overview of a dataset: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Tags

CCSS.6.SP.B.5B

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.

Tags

CCSS.6.SP.B.5C

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What is the minimum in a dataset?

Back

The minimum is the smallest value in a dataset.

Tags

CCSS.6.SP.B.5B

Front

What is the maximum in a dataset?

Back

The maximum is the largest value in a dataset.

Tags

CCSS.6.SP.B.5A

Front

What is the first quartile (Q1)?

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The first quartile (Q1) is the median of the lower half of the dataset, representing the 25th percentile.

Tags

CCSS.6.SP.B.5C

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of the dataset, representing the 75th percentile.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the mean of a dataset?

Back

To calculate the mean, sum all the values in the dataset and divide by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the difference between mean and median?

Back

The mean is the average of all values, while the median is the middle value when the data is ordered. The mean can be affected by outliers, whereas the median is more robust.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

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What is an outlier?

Back

An outlier is a value that is significantly higher or lower than the other values in a dataset, which can skew the mean.

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How do you identify outliers in a dataset?

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Outliers can be identified using the interquartile range (IQR). Any value that is below Q1 - 1.5*IQR or above Q3 + 1.5*IQR is considered an outlier.