The average of 10 numbers is 14.8. If two numbers 5 and 23 are replaced by 13 and 26 respectively, then what is the new average?

15.9 13.8 16.3 14.5

15.9

Total sum of 10 numbers = 10 × 14.8 = 148 Difference by replacing numbers = ( 13 + 26 ) - ( 5 + 23 ) = 11 Increment in average = \(\frac{11}{10}\)  = 1.1 New average = 14.8 + 1.1 = 15.9