Thread: Median, mode and mean from a table

I have a statistics problem, can anyone with alot of patience explain to me each step in calculating these answers? I'm not just interested in what the answer is, I need to know how to get to it on my own.

-Claudia records the midday temperature from Monday to Friday. She finds the mean temperature is 0C, the mode is -2.4C and the median is -1.3C. The temperature either stays the same or increases each day and the maximum temperature is 4.5C. Fill in the temperatures in the table below.

You already have four of the temperatures, since you know the median is -1.3C (one of the days must be this temperature) and the mode is -2.4C (two days must be this temperature. We can't have any more than two days be this temperature since the median was -1.3C, only two values can be less.) You are also told the maximum temperature is 4.5C. This leaves you to find the last temperature, call it x. Since the mean is 0C, that means

[(-2.4) + (-2.4) + (-1.3) + x + 4.5]/5 = 0

Solve for x.

Genius! Thank you so much. :-)