Statistics 2024 Week 6: Variance

Front

What percentage of data falls within 2 standard deviations from the mean in a normal distribution?

Back

97%

Tags

CCSS.HSS.ID.A.4

Front

What is the first quartile (Q1) value in a dataset?

Back

30

Tags

CCSS.6.SP.B.5C

Front

What is the term for the difference between the maximum and minimum values in a dataset?

Back

Range

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the measure of the amount of variation or dispersion in a set of values?

Back

Standard Deviation

Front

If the mean is 100 and the standard deviation is 25, where is most of the data located?

Back

75 to 125

Tags

CCSS.HSS.ID.A.4

Front

What is the formula for calculating variance?

Back

Variance = (Σ(x - μ)²) / N, where μ is the mean and N is the number of data points.

Front

What does a higher variance indicate about a dataset?

Back

A higher variance indicates that the data points are more spread out from the mean.

Front

What is the relationship between standard deviation and variance?

Back

Standard deviation is the square root of variance.

Front

What is the significance of the 68-95-99.7 rule in statistics?

Back

It states that in a normal distribution, approximately 68% of data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.

Tags

CCSS.HSS.ID.A.4

Front

What is the median in a dataset?

Back

The median is the middle value when the data points are arranged in ascending order.

Tags

CCSS.6.SP.B.5C