Find Mean, Median, IQR, Standard Deviation

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 calculate the median of a data set?

Back

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

Front

What is the Interquartile Range (IQR)?

Back

The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set, representing the range of the middle 50% of the data.

Front

How do you find Q1 in a data set?

Back

Q1 is the median of the lower half of the data set (excluding the median if the number of data points is odd).

Front

How do you find Q3 in a data set?

Back

Q3 is the median of the upper half of the data set (excluding the median if the number of data points is odd).

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values, indicating how much the values deviate from the mean.

Front

How do you calculate the mean of the numbers 20, 22, 25, 29, 31?

Back

Mean = (20 + 22 + 25 + 29 + 31) / 5 = 25.4.

Front

What is the median of the data set 9, 8, 12, 6, 10?

Back

First, arrange the numbers: 6, 8, 9, 10, 12. The median is 9.

Front

How do you find the IQR of the data set 20, 22, 25, 29, 31?

Back

First, find Q1 (22) and Q3 (29). IQR = Q3 - Q1 = 29 - 22 = 7.

Front

What is the formula for standard deviation?

Back

Standard Deviation = sqrt(Σ(xi - mean)² / N), where xi is each value, mean is the average, and N is the number of values.