Statistics · Median of a frequency distribution

A variable

X

takes values

0, 0, 2, 6, 12, 20, \ldots, n(n-1)

with frequencies

{}^{n}C_{0}

{}^{n}C_{1}

{}^{n}C_{2}

{}^{n}C_{3}

{}^{n}C_{4}

{}^{n}C_{5}

\ldots

{}^{n}C_{n}

, respectively. If the mean of this data is 60, then its median is:

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