In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 2

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Question: In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)

Options:

Correct Answer: 16

Exam Year: 2023

Solution:

Arranging the ages: 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 20. The median is the 8th number, which is 16.

In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)

In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)

Step 1: Write down all the ages of the students: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18.
Step 2: Arrange the ages in order from smallest to largest: 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 20.
Step 3: Count how many ages there are. There are 15 ages in total.
Step 4: Find the middle position. Since there are 15 ages, the middle position is the 8th age (because 15 divided by 2 is 7.5, and we round up to 8).
Step 5: Look at the arranged list and find the 8th age: 14, 14, 14, 15, 15, 15, 16, 16 (the 8th number is 16).
Step 6: The median age is 16.

Median Calculation – Understanding how to find the median in a set of numbers by arranging them in order and identifying the middle value.
Data Organization – The importance of correctly organizing data to accurately determine statistical measures.