Madhya Pradesh Police Exam Model Paper 10

Given:
Mean of smallest 5 numbers = 19
Average of 13 numbers = 21
Formula used:
Average = (Sum of all values)/(number of value)
Calculation:
Sum of smallest 5 numbers
⇒ (Sum of smallest 5 numbers)/5 = 19
⇒ Sum of smallest 5 numbers = 95
Sum of all 13 numbers
⇒ (Sum of all 13 numbers)/13 = 21
⇒ Sum of all 13 numbers = 21 × 13
⇒ Sum of all 13 numbers = 273
The Sum of the maximum of 8 numbers
⇒ 273 - 95
⇒ 178
Mean of the maximum of 5 numbers
⇒ 178/8
⇒ 22.25
∴ The mean is 22.25.