Correct Answer - Option 2 : 31
Formula used :
Mean = sum of all values in the set/Number of values
Median = Middle value in the data set
Calculations :
Sum of all values = 23 + 31 + 43 + 37 + 51 + 61 + a + 32 + 23 + 27 + 19
⇒ 347 + a
Number of values = 11
According to the question
Mean = 33
⇒ (347 + a)/11 = 33
⇒ 347 + a = 363
⇒ a = 16
Now,
Arranged data set = (16, 19, 23, 23, 27, 31, 32, 37, 43, 51, 61)
Median = 31
∴ Median for the given data set is 31
