Question

The mean of 31 results is 60 if the mean of the first 16 results is 58 and that of the last 16 results is 62 find the 16th results​

Answer 1

Given :

• The mean of 31 results is 60 if the mean of the first 16 results is 58 and that of the last 16 results is 62.

To Find :

• We have to find the value of the 16ᵗʰ result.

Solution :

• Mean of 31 results = 60
• Mean of the first 16 results = 58
• Mean of the last 16 results = 62
• The value of the 16ᵗʰ result = ?

★ Finding the sum of 31 results :

→ The sum of 31 results = 31 × 60

→ The sum of 31 results = 1,860

• Hence,the sum of 31 results is 1,860.

★ Finding the sum of the first 16 results :

→ The sum of the first 16 results = 16 × 58

→ The sum of the first 16 results = 928

• Hence,the sum of the first 16 results is 928.

★ Finding the sum of the last 16 results :

→ The sum of the last 16 results = 16 × 62

→ The sum of the last 16 results = 992

• Hence,the sum of the last 16 results is 992 .

★ Now, let's find the value of the 16ᵗʰ results :

→ The value of the 16ᵗʰ result = [ The sum of the first 16 results - The sum of the last 16 results ] + The sum of 31 results

→ The value of the 16ᵗʰ result = [928 + 992] - 1,860

→ The value of the 16ᵗʰ result = 1,920 - 1,860

→ The value of the 16ᵗʰ result = 60

• Hence,the value of the 16ᵗʰ result is 60.