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Look at this set of 55 numbers:\newline29,40,47,14,2129, 40, 47, 14, 21\newlineHow would the range change if the number 5858 were added to the set?\newlineChoices:\newline(A) increase\newline(B) decrease\newline(C) no change

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Full solution

Q. Look at this set of 55 numbers:\newline29,40,47,14,2129, 40, 47, 14, 21\newlineHow would the range change if the number 5858 were added to the set?\newlineChoices:\newline(A) increase\newline(B) decrease\newline(C) no change
  1. Arrange Data in Ascending Order: Arrange the original data set in ascending order.\newlineOriginal set: 14,21,29,40,4714, 21, 29, 40, 47.
  2. Calculate Original Data Range: Calculate the range of the original data set.\newlineRange = Maximum value - Minimum value = 47−14=3347 - 14 = 33.
  3. Add and Arrange New Number: Add the new number 5858 to the set and arrange it.\newlineNew set: 14,21,29,40,47,5814, 21, 29, 40, 47, 58.
  4. Calculate New Data Range: Calculate the range of the new data set. \newlineRange = Maximum value - Minimum value = 58−14=4458 - 14 = 44.

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