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Wanda has the following data:\newlinec,16,18,18,18,13c, 16, 18, 18, 18, 13\newlineIf the mean is 1616, which number could cc be?\newlineChoices:\newline(A)(A) 77\newline(B)(B) 1313

Full solution

Q. Wanda has the following data:\newlinec,16,18,18,18,13c, 16, 18, 18, 18, 13\newlineIf the mean is 1616, which number could cc be?\newlineChoices:\newline(A)(A) 77\newline(B)(B) 1313
  1. Identify values: Step 11: Identify the known values and the unknown, cc. Given data: cc, 1616, 1818, 1818, 1818, 1313. Mean is 1616.
  2. Calculate sum: Step 22: Calculate the sum of the known values.\newlineSum of known values = 16+18+18+18+13=8316 + 18 + 18 + 18 + 13 = 83.
  3. Use mean formula: Step 33: Use the mean formula to find the sum of all values.\newlineMean = (Sum of all values)/Number of values(\text{Sum of all values}) / \text{Number of values}.\newline16=(c+83)/616 = (c + 83) / 6.
  4. Solve for c: Step 44: Solve for c.\newline16×6=c+8316 \times 6 = c + 83,\newline96=c+8396 = c + 83,\newlinec=9683c = 96 - 83,\newlinec=13c = 13.

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