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.