What is the median and mean of the data set: 10, 8, 5, 3, 7, 4, 5, 9, 2, 3, 7, 3, 8, 6, 4, 1, 2, 1, 10, 3?

To determine the median and mean of the provided data set, we first need to organize the data.

The original data set is: 10, 8, 5, 3, 7, 4, 5, 9, 2, 3, 7, 3, 8, 6, 4, 1, 2, 1, 10, 3.

Arranging the data in ascending order gives us: 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 10.

To find the median, we look for the middle value of this ordered list. Since there are 20 data points (an even number), the median is the average of the 10th and 11th values. The 10th value is 4 and the 11th value is 5. Consequently, the median is calculated as:

Median = (4 + 5) / 2 = 9 / 2 = 4.5.

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