The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?

The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?

Answer Details

To find the mode of a data set, we look for the number or numbers that appear most frequently. In the data set provided, which is:

• 25
• 30
• 32
• 30
• 42
• 45
• 48
• 50
• 52
• 51
• 42
• 38
• 40
• 42

we need to count how many times each weight occurs. Let's do that:

• 25 occurs 1 time
• 30 occurs 2 times
• 32 occurs 1 time
• 42 occurs 3 times
• 45 occurs 1 time
• 48 occurs 1 time
• 50 occurs 1 time
• 52 occurs 1 time
• 51 occurs 1 time
• 38 occurs 1 time
• 40 occurs 1 time

The number that appears most frequently is 42, as it occurs 3 times in the list. Therefore, the mode of the given data set is 42.