The average of 31 results is 60. If the average of the first 16 result

1.	The average of 31 results is 60. If the average of the first 16 results is 58 and that of thelast 16 results is 62. find the 16th result.
Answer» ★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. __________

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

Answer»

Given ,

The total SUM = 31 (60)

= 1860

Also given,

So the total sum = 16 (58)

= 928

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.