For 11 observations the mean is 50. If the mean of the first 6 observations is 49 and the mean of the last 6 observations is 52, find the 6th observation. (Note: the 6th observation is counted in both groups.)

Question

Accepted Answer

56. Total of all 11 = 11 x 50 = 550. Sum of first 6 = 6 x 49 = 294. Sum of last 6 = 6 x 52 = 312. First6 + Last6 = 294 + 312 = 606, which counts the 6th term twice. So 6th term = 606 - 550 = 56.

For 11 observations the mean is 50. If the mean of the first 6 observations is 49 and the mean of the last 6 observations is 52, find the 6th observation.
(Note: the 6th observation is counted in both groups.)

Step-by-Step Solution

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More Class 9 Measures of Central Tendency practice

For 11 observations the mean is 50. If the mean of the first 6 observations is 49 and the mean of the last 6 observations is 52, find the 6th observation.(Note: the 6th observation is counted in both groups.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Measures of Central Tendency practice

For 11 observations the mean is 50. If the mean of the first 6 observations is 49 and the mean of the last 6 observations is 52, find the 6th observation.
(Note: the 6th observation is counted in both groups.)