Option 2 : 8.33

**Given:**

Average of 25 integers is 7

15 integers do not exceed 4.

**Formula Used:**

Average = Sum of total observation/Total number of observation

**Calculation:**

The average of 25 integers is 7

⇒ 7 = Sum of total integers/25

⇒ Sum of total integers = 25 × 7

⇒ Sum of total integers = 175

Minimum possible sum of remaining 10 integers,

⇒ 10 × 5

⇒ 50

Minimum possible sum of remaining 10 integers is 50.

As remaining 15 integers, are greater than 4,

Their sum will be minimum and equal when they are same and minimum

⇒ Sum of remaining 15 integers = 175 – 50

⇒ Sum of remaining 15 integers = 125

⇒ Average of 15 integers = 125/15

⇒ Average of 15 integers = 8.33

**∴ Highest possible value average of 15 integers is 8.33.**