The mean age of 4 participants in a relay race was calculated to be 24

1.	The mean age of 4 participants in a relay race was calculated to be 24 years. Later it was found that one of the participant’s age was actually 27 years, which was wrongly recorded as 25 years. If there is rule wherein it is not possible to participate in this race if the mean age is more than 25 years, can they participate in this race even after the correction of age?
Answer» Here, Mean of age of 4 participants = 24 years ∴ Sum of age of 4 participants = 4 × 24 = 96 years The age of one participants was taken 25 years instead of 27 years. ∴ True sum of age of 4 participants = 96 – 25 + 27 = 98 years ∴ Correct mean of age of 4 participants = 98 / 4 = 24.5 years If the age of one participant is more than 25 years, he cannot participate in the race. The mean after the correction of age is 24.5 years. Therfore, a participants can participate in the race.

The mean age of 4 participants in a relay race was calculated to be 24 years. Later it was found that one of the participant’s age was actually 27 years, which was wrongly recorded as 25 years. If there is rule wherein it is not possible to participate in this race if the mean age is more than 25 years, can they participate in this race even after the correction of age?

Answer»

Here, Mean of age of 4 participants = 24 years
∴ Sum of age of 4 participants = 4 × 24 = 96 years

The age of one participants was taken 25 years instead of 27 years.
∴ True sum of age of 4 participants = 96 – 25 + 27 = 98 years

∴ Correct mean of age of 4 participants = 98 / 4 = 24.5 years

If the age of one participant is more than 25 years, he cannot participate in the race.

The mean after the correction of age is 24.5 years. Therfore, a participants can participate in the race.