Calculating the Range from a Data Set

The video tutorial explains how to calculate the range of a dataset, which is a measure of data spread. It covers the basic calculation of subtracting the lowest value from the highest value. Examples include simple datasets, frequency tables, and group frequency tables. A contextual problem is solved to demonstrate working backwards from a given range. The tutorial concludes with a reminder to practice and understand the importance of identifying the highest and lowest values.

What is the primary purpose of calculating the range in a dataset?

• To find the average value

• To measure the spread of data

• To identify the median

• To determine the mode

In the example provided, what is the range of the dataset from 1 to 21?

• 22

• 21

• 19

• 20

When using a frequency table, why might the highest value not be the largest number listed?

• Because the table might be sorted incorrectly

• Because the table might be incomplete

• Because the largest number is always the highest value

• Because the largest number might have zero frequency

How do you estimate the range from a grouped frequency table?

• By averaging all the class frequencies

• By taking the difference between the highest and lowest class boundaries

• By using the midpoint of each group

• By counting the number of groups

In the contextual problem, what is the distance jumped by the champion if the range is 0.7 meters?

• 7.3 meters

• 7.5 meters

• 7.2 meters

• 7.4 meters

What is the first step in solving the contextual problem involving the range?

• Calculating the total distance

• Ordering the distances from low to high

• Finding the average distance

• Identifying the mode of the distances

What equation is set up to solve the contextual problem about the long jump distances?

• x + 6.8 = 0.7

• x - 6.8 = 0.7

• x * 6.8 = 0.7

• x / 6.8 = 0.7