Question

The average of 31 results is 60. If the average of the first 16 results is 58 and that of the
last 16 results is 62. find the 16th result.​

Answer 1

Answer:

60

Step-by-step explanation:

It is given that Mean of 31 results = 60 So the total sum = 31 (60) = 1860 We know that Mean of first 16 results = 58 So the total sum = 16 (58) = 928 Mean of last 16 results = 62 So the total sum = 16 (62) = 992 We get the 16th result = total sum of first 16 results + total sum of last 16 results – total sum of 31 results By substituting the values 16th result = 928 + 992 – 1860 On further calculation 16th result = 1920 – 1860 = 60 Therefore, the 16th result is 60Read more on Sarthaks.com - https://www.sarthaks.com/724388/the-mean-results-the-mean-the-first-results-and-that-the-last-results-find-the-16thresult

Answer 2

★Given:-

• The average of 31 results is 60.
• Average of the first 16 results is 58
• Average of   last 16 results is 62.

★To find:-

• The 16th result.

★Solution:-

Given ,

• Mean of 31 results = 60

The total sum = 31 (60)

                      = 1860

Also given,

• Mean of first 16 results = 58

So the total sum = 16 (58)

                           = 928

• Mean of last 16 results = 62

So the total sum = 16 (62)

                           = 992

Total Sum of the above:-

→992+928

→1920

Now,

16th result = total sum of first 16 results + total sum of last 16 results - total sum of 31 results.

Putting values,

→ 928 + 992 - 1860

→ 1920 - 1860

→ 60

Therefore, the 16th result is 60.

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