Understanding Quartiles and Medians

The video tutorial explains the concept of the five number summary, which includes the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum. It discusses how these numbers provide a quick overview of a data set. The tutorial also covers the interquartile range, which is the difference between Q1 and Q3, and how to construct a box plot for visual representation. Techniques for ordering data and finding the median in large data sets are also demonstrated.

What is the first component of the five number summary?

• Upper Quartile

• Median

• Minimum

• Maximum

Which quartile is represented by Q1?

• Maximum

• Lower Quartile

• Upper Quartile

• Median

What is the interquartile range?

• The range between Q2 and Q3

• The range between the minimum and maximum

• The range between Q1 and Q3

• The range between Q1 and Q2

What is another name for a box plot?

• Histogram

• Scatter Plot

• Pie Chart

• Box and Whisker Plot

What is the first step in creating a box plot?

• Calculate the mean

• Order the data

• Find the mode

• Draw the axes

How do you determine the median in an odd set of numbers?

• Choose the lowest number

• Choose the highest number

• Choose the middle number

• Average the two middle numbers

In a set of 13 scores, which score is the median?

• 7th

• 6th

• 8th

• 9th

How do you find the median in a set of 63 scores?

• 31st score

• 34th score

• 33rd score

• 32nd score

When dividing a data set into quartiles, what do you do with the median?

• Include it in both halves

• Exclude it from both halves

• Include it in the lower half

• Include it in the upper half

What is the purpose of rounding up when finding the median in a large data set?

• To avoid errors

• To simplify calculations

• To find the exact middle

• To ensure an even split