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Which is the largest with regard to the following data set: 80, 83, 83, 83, 87, 87, 91, 97, 98?

a) Mean
b) Median
c) Mode
d) All are equal

Answer :

In the provided data set, the mean is the largest at 87.67, followed by the median at 87. The mode, which is the most frequently occurring number, is the smallest among these measures of central tendency hence correct option is a) Mean

When analyzing the data set 80, 83, 83, 83, 87, 87, 91, 97, 98, we need to calculate the mean (average), median (middle value), and mode (most frequent number) to determine which is the largest.

  • To find the mean, sum all of the numbers and divide by the quantity of numbers in the set. Mean = (80 + 83 + 83 + 83 + 87 + 87 + 91 + 97 + 98) / 9 = 789 / 9 = 87.67.
  • The median is the middle value when the numbers are ordered. Since there are 9 numbers, the 5th number is the median. Median = 87.
  • The mode is the number that appears most frequently. In this data set, 83 appears three times, making it the mode.

Comparing the calculated values, the mean is the largest with the value of 87.67, followed by the median at 87, and the mode being the smallest as it is simply a value from the data set, which does not exceed the mean or median hence correct option is a) Mean

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