Five Number Summary and Quartiles

The video tutorial explains how to determine the five number summary of a data set, which includes the minimum, Q1, median, Q3, and maximum. It emphasizes using the locator percentile method to find Q1 and Q3, instead of relying on calculators like the TI-84, which may yield different results. The tutorial walks through the process of ordering data, identifying the median, and calculating Q1 and Q3 using specific formulas. The five number summary is used to create a box plot, dividing the data into four equal parts.

What are the components of the five number summary?

• Mean, Mode, Median, Range, Variance

• Minimum, Maximum, Mean, Mode, Range

• Minimum, Q1, Median, Q3, Maximum

• Q1, Q2, Q3, Q4, Q5

What is the purpose of the five number summary in data analysis?

• To calculate the average of the data set

• To divide the data into four equal groups

• To find the mode of the data set

• To determine the standard deviation

Why should the locator percentile method be used instead of a calculator for finding Q1 and Q3?

• Calculators may use a different method

• The method is faster

• Calculators are not accurate

• It is the only method available

What is the minimum value in the given data set?

• 5

• 14.7

• 27.8

• 11.1

How is the median determined when the number of data values is odd?

• By using the smallest value

• By calculating the mean of all values

• By taking the middle value directly

• By averaging the two middle values

What is the formula to find the position of Q1 using the locator percentile method?

• L = 0.5 * n

• L = 0.25 * n

• L = 0.75 * n

• L = n / 2

What is the value of Q1 in the data set?

• 11.1

• 5

• 14.7

• 20.1

What is the formula to find the position of Q3 using the locator percentile method?

• L = n / 2

• L = 0.75 * n

• L = 0.25 * n

• L = 0.5 * n

What is the value of Q3 in the data set?

• 5

• 11.1

• 20.1

• 14.7

What is the complete five number summary for the data set?

• 5, 11.1, 14.7, 20.1, 25

• 11.1, 14.7, 20.1, 27.8, 30

• 5, 14.7, 20.1, 27.8, 30

• 5, 11.1, 14.7, 20.1, 27.8