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Oliver has the following data:\newlinem,14,17,19,15,15m, 14, 17, 19, 15, 15\newlineIf the mean is 1616, which number could mm be?\newlineChoices:\newline(A)1616\newline(B)3434

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Mean, median, mode, and range: find the missing numberright chevron icon

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Q. Oliver has the following data:\newlinem,14,17,19,15,15m, 14, 17, 19, 15, 15\newlineIf the mean is 1616, which number could mm be?\newlineChoices:\newline(A)1616\newline(B)3434
  1. Calculate total number of terms: Calculate the total number of terms in the data set.\newlineData set: mm, 1414, 1717, 1919, 1515, 1515\newlineNumber of terms: 66
  2. Set up mean equation: Set up the equation using the mean formula.\newlineMean formula: Mean = sum of all termsnumber of terms\frac{\text{sum of all terms}}{\text{number of terms}}\newlineGiven mean = 1616\newline16=m+14+17+19+15+15616 = \frac{m + 14 + 17 + 19 + 15 + 15}{6}
  3. Simplify and solve for mm: Simplify and solve for mm.16=m+80616 = \frac{m + 80}{6}16×6=m+8016 \times 6 = m + 8096=m+8096 = m + 80m=96−80m = 96 - 80m=16m = 16

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