Minor Assessment 7 - Standard Deviation Flashcard

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you find the median of a set of numbers?

Back

To find the median, arrange the numbers in ascending order and identify the middle number. If there is an even number of observations, the median is the average of the two middle numbers.

Front

Calculate the mean of these numbers: 5, 11, 2, 12, 4, 2.

Back

Mean = (5 + 11 + 2 + 12 + 4 + 2) / 6 = 6.

Front

What is variance in statistics?

Back

Variance measures how far a set of numbers is spread out from their average value. It is calculated as the average of the squared differences from the mean.

Front

Calculate the variance for the data given: 5, 10, 7, 12, 0, 20, 15, 22, 8, 2.

Back

Variance = 52.77.

Front

If the standard deviation of a data set is 4, what is the variance?

Back

Variance = (Standard Deviation)² = 4² = 16.

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.

Front

How do you calculate the mean of a data set?

Back

Add all the numbers in the data set and divide by the total number of values.

Front

What is the formula for variance?

Back

Variance (σ²) = Σ (xi - μ)² / N, where xi is each value, μ is the mean, and N is the number of values.

Front

What does a high variance indicate about a data set?

Back

A high variance indicates that the data points are spread out over a wider range of values.