A variable X takes values 0, 0, 2, 6, 12, 20,, n(n-1) with frequencies ⁿC₀, ⁿC₁, ⁿC₂, ⁿC₃, ⁿC₄, ⁿC₅,, ⁿC n, respectively. If the mean of this data is 60, then its median is:

Statistics and Probability: JEE Main 2026 Mathematics question

JEE Main 2026 · 5 Apr, Evening shift · Q10

JEE Main 20265 Apr, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

A variable

X

takes values

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

with frequencies

^{n}C_0,\ ^{n}C_1,\ ^{n}C_2,\ ^{n}C_3,\ ^{n}C_4,\ ^{n}C_5, \dots,\ ^{n}C_n

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