A record shows the value 1 four times, the value 2 twice and the value 3 four times. What is the median of these ten values?

الشرح

Ten values in order open with four 1s, so the fifth and sixth places are held by the two 2s and their mean is 2. Averaging the smallest and largest values, 1 and 3, happens to give the same number here, but that shortcut ignores the frequencies and would fail at once if the value 3 occurred only twice.