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Which data set has the highest median {11, 15, 16, 8, 12 14} { 1, 6, 15, 7 15, 18, 14} { 1, 10, 8, 29, 14 17, 3} {8, 20, 13, 14, 12,9}

1 answer

To determine which data set has the highest median, we first need to calculate the median for each of the provided data sets.

  1. Data Set 1: {11, 15, 16, 8, 12, 14}

    • Sorted: {8, 11, 12, 14, 15, 16}
    • Median: (12 + 14) / 2 = 13

  2. Data Set 2: {1, 6, 15, 7, 15, 18, 14}

    • Sorted: {1, 6, 7, 14, 15, 15, 18}
    • Median: 14 (the 4th value in the sorted list)

  3. Data Set 3: {1, 10, 8, 29, 14, 17, 3}

    • Sorted: {1, 3, 8, 10, 14, 17, 29}
    • Median: 10 (the 4th value in the sorted list)

  4. Data Set 4: {8, 20, 13, 14, 12, 9}

    • Sorted: {8, 9, 12, 13, 14, 20}
    • Median: (12 + 13) / 2 = 12.5

Now, we compare the medians:

  • Data Set 1: 13
  • Data Set 2: 14
  • Data Set 3: 10
  • Data Set 4: 12.5

The data set with the highest median is Data Set 2, with a median of 14.