Exploring Measures of Central Tendency with JCHS Football Scores

The video tutorial covers the measures of central tendency: mean, median, mode, and range. It explains how to calculate each measure using examples, such as the margins of victory for a football team. The tutorial also demonstrates how to organize data in a stem-and-leaf plot to find the median and discusses the absence of a mode in certain datasets. Finally, it includes problem-solving exercises involving medians of high-rise buildings and math test scores.

What does 'mean' refer to in statistics?

• The middle value in a data set

• The difference between the highest and lowest values

• The most frequently occurring value

• The average value of a data set

How is the median value determined in a data set?

• By identifying the most frequent value

• By calculating the average of all values

• By subtracting the smallest value from the largest

• By finding the middle value after arranging the data in order

What is a stem-and-leaf plot used for?

• To identify the mode of the data

• To determine the mean of the data

• To organize data in order to easily find the median

• To calculate the range of a data set

What does it mean if a data set has no mode?

• All values occur with the same frequency

• No values repeat in the data set

• The data set cannot be analyzed

• The mean is also the median

How is the range of a data set calculated?

• Average of the highest and lowest values

• Highest value minus the lowest value

• Highest value divided by the lowest value

• Highest value plus the lowest value

What is the difference in medians of the high-rise buildings between City 1 and City 2?

• 2

• 5

• 3

• 4

If City 1 has a median building height of 40 stories, what is the median height for City 2?

• 38 stories

• 42 stories

• 35 stories

• 40 stories

What is the median math test score for Class 1?

• 74

• 76

• 78

• 80

By how many points does the median score of Class 1 exceed that of Class 2?

• 2 points

• 8 points

• 6 points

• 4 points

What is the correct answer for the difference in medians between the two classes?

• B

• D

• A

• C