Find the mode and median of the data:

• 13
• 16
• 12
• 14
• 19
• 12
• 14
• 13
• 14

To find the mode and median of the given data set: 13, 16, 12, 14, 19, 12, 14, 13, 14, we will follow these steps:

Identifying the Mode

The mode is the number that appears most frequently in a data set. Let's count the occurrences of each number:

• 12 appears 2 times
• 13 appears 2 times
• 14 appears 3 times
• 16 appears 1 time
• 19 appears 1 time

Since 14 appears the most (3 times), the mode is 14.

Calculating the Median

The median is the middle value when the numbers are arranged in order. First, we need to sort the data:

• 12, 12, 13, 13, 14, 14, 14, 16, 19

Since there are 10 numbers (an even count), the median will be the average of the 5th and 6th values:

• 5th value: 14
• 6th value: 14

Calculating the average: (14 + 14) / 2 = 14. Therefore, the median is 14.

Summary

In this data set, both the mode and median are 14.