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What are the mean and median of the following sample data (in kg):

20.6, 35.9, 31.8, 32.8, 25.9, 40.8

A. Mean is 31.3 kg and Median is 32.3 kg
B. Mean is 31.9 kg and Median is 32.3 kg
C. Mean and Median are both 31.8 kg
D. Mean is 31.3 kg and Median is 38.5 kg
E. Mean is 34.7 kg and Median is 32.3 kg

Answer :

Final answer:

The mean of the given data is 31.3kg, and the median is 32.3kg. The mean is the average of all the numbers, and the median is the middle value when the numbers are arranged in order.

Explanation:

To find the mean of a set of numbers, you simply add up all the numbers and then divide by how many numbers there are. The median of a set of numbers is the middle value when the numbers are arranged in order. Let's use these definitions on your provided data.

  • First, we add up all the numbers: 20.6 + 35.9 + 31.8 + 32.8 + 25.9 + 40.8 = 187.8.
  • Then, we divide this total by the amount of numbers, which is 6: 187.8 ÷ 6 = 31.3kg. So, the mean is 31.3kg.
  • For the median, we must first arrange the data in order: 20.6, 25.9, 31.8, 32.8, 35.9, 40.8.
  • The data contains 6 numbers. Here, the median is not a number in the set but rather the average of the two middle numbers (31.8 and 32.8): (31.8 + 32.8) ÷ 2 = 32.3kg.

Therefore, the mean of your data is 31.3kg and the median is 32.3kg.

Learn more about Mean and Median here:

https://brainly.com/question/13006297

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