Multiple choice

Mean of 7 observations is 34. If six values are 33, 28, 36, 53, 26, 32. Find the seventh value.

  1. 32

  2. 30

  3. 26

  4. 25

  5. 24

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B Correct answer
Explanation

The sum of 7 observations is 7 * 34 = 238. The sum of the 6 given observations is 33 + 28 + 36 + 53 + 26 + 32 = 208. The seventh value is 238 - 208 = 30.

AI explanation

Since the mean of 7 observations is 34, their total sum must be 7 times 34, or 238. The sum of the given six values is 33 + 28 + 36 + 53 + 26 + 32, which equals 208. Subtracting this from the total sum, the seventh value is 238 - 208, which equals 30.