Question

for what value of a - 4, 6, a , 9, 10, 19 will be the median? ​

Answer 1

Median = \sf\frac{n/2\ + n/2\ +\ 1}{2}, where n = total number of observations.

NOTE: The above formula is used only if n = an even number.

\sf7.5 = \frac{6/2\ +\ 6/2\ +\ 1}{2} \\\\7.5 = \frac{3rd\ term\ +\ 4th\ term}{2} \\\\7.5 = \frac{a\ +\ 9}{2} \\\\7.5 \times2 = a + 9\\\\15 = a + 9\\\\a = 15 - 9\\\\a = 6

Therefore, a = 6.