11 observations have a mean of 35. The mean of the first 6 observations is 32 and the mean of the last 6 observations is 37. Find the value of the 6th observation (which is counted in both groups).

Question

Accepted Answer

29. Total of all 11 = 35 x 11 = 385. First 6 sum = 32 x 6 = 192. Last 6 sum = 37 x 6 = 222. (192 + 222) counts the 6th twice: 414 - 385 = 29.

11 observations have a mean of 35.
The mean of the first 6 observations is 32 and the mean of the last 6 observations is 37.
Find the value of the 6th observation (which is counted in both groups).

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More Class 7 Arithmetic Mean practice

11 observations have a mean of 35.The mean of the first 6 observations is 32 and the mean of the last 6 observations is 37.Find the value of the 6th observation (which is counted in both groups).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Arithmetic Mean practice

11 observations have a mean of 35.
The mean of the first 6 observations is 32 and the mean of the last 6 observations is 37.
Find the value of the 6th observation (which is counted in both groups).