Question

Give a set of five integers, two positive and three negative, for which the mean, median, and mode are all -3

Answer 1

That's 5 integers...

Logic tells me that a number divided by 5 should be equal to -3. -15/5 is in fact equal to -3.

Let's find 5 integers (two positive and three negative) when added up together equal -15.

-14, -3, -3, 2, 3.

[(-14)+(-3)+(-3)+2+3]/5 = (-15)/5 = -3

Mean = -3

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Now let's put these numbers in order, from lowest to highest - then pick out the middle value...

-14, -3, [-3], 2, 3

The median turns out to be -3.

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Let's look at the numbers once again...

-14, -3, -3, 2, 3

It turns out that -3 appears the most, therefore -3 is the mode too.