Correct Answer - Option 4 : 36 & 77
Given
Mean = 42
Median = 35
Formula Used
Median = (n/2) + (n + 1)/2th term (n = no. of observation )
Mean = sum of observation/no. of observation
Calculation
Observations are 17, 22, 26, 29, 34, x, 42, 67, 70, y
Median = 5th + 6th
⇒ x + 34 = 70
⇒ x = 36
Mean = (17 + 22 + 26 + 29 + 34 + 36 + 42 + 67 + 70 + y)/10
⇒ 420 = (17 + 22 + 26 + 29 + 34 + 36 + 42 + 67 + 70 + y)
⇒ y = 77
∴ The required answer is 36 and 77