Crash Course Measures of Spread

What do statisticians call the 'middle' of sets of data?

• Measures of spread

• Central tendency

• Range

• InterQuartile Range

Tags

CCSS.6.SP.A.3

What does the Range measure in a data set?

• The middle 50% of the data

• The variability of the data

• The average deviation from the mean

• The distance between the two most extreme points

Tags

CCSS.6.SP.A.3

What does the InterQuartile Range (IQR) consider?

• Extreme values

• The mean deviation

• The middle 50% of the data

• The total spread of the data

Tags

CCSS.6.SP.B.5C

How is the variance of a data set calculated?

• By subtracting the smallest value from the largest value

• By finding the average of all data points

• By squaring the deviation of each point from the mean and averaging them

• By dividing the range by the number of data points

Why is the sample variance divided by the number of samples minus 1?

• To adjust for bias

• To make it equal to the population variance

• To simplify the calculation

• To increase the variance value

What does the standard deviation provide?

• The total range of the data set

• A measure of how data points deviate from the mean

• The difference between the highest and lowest values

• The average value of the data set

What effect do extreme values have on the mean and standard deviation?

• No effect

• They are excluded from the calculation

• They decrease the values

• They increase the values

What is the main takeaway regarding comparing ourselves to the 'average'?

• It can be misleading without considering how data is spread out

• It's the only measure needed for accurate comparison

• It should be avoided in all cases

• It's always an accurate measure of comparison

Tags

CCSS.6.SP.A.3

What does the variance tell us about a data set?

• The total number of data points

• The middle value of the data set

• How much variability is in the data

• The average age of the data set