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Select the outlier in the data set.\newline7,41,45,47,48,50,54,597, 41, 45, 47, 48, 50, 54, 59

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Q. Select the outlier in the data set.\newline7,41,45,47,48,50,54,597, 41, 45, 47, 48, 50, 54, 59
  1. Identify data set: Identify the data set and understand what an outlier is.\newlineAn outlier is a data point that is significantly different from the rest of the data. It can be much higher or much lower than the other values in the set.\newlineData set: 7,41,45,47,48,50,54,597, 41, 45, 47, 48, 50, 54, 59
  2. Find outlier: Look for the number that seems significantly different from the rest of the numbers in the data set.\newlineBy inspection, we can see that the number 77 is much lower than all the other numbers, which are all above 4040.
  3. Calculate range: To confirm that 77 is an outlier, we can calculate the range and see if 77 falls far outside the typical spread of the data.\newlineFirst, find the range of the data set by subtracting the smallest number from the largest number: 597=5259 - 7 = 52.
  4. Confirm outlier: Calculate the interquartile range (IQR) or use another statistical method to determine outliers, but in this case, since the data set is small and the number 77 is clearly much smaller than the others, we can reasonably conclude that 77 is the outlier without further calculations.

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