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Which data set has the highest median? Keep in mind: If there are an odd number of values, the middle number is the median. IF there are an even number of values, the median is in between the two middle numbers. (1 point) Responses {1, 6, 15, 7, 15, 18, 14} {1, 6, 15, 7, 15, 18, 14} {8, 20, 13, 14, 12, 9} {8, 20, 13, 14, 12, 9} {11, 15, 16, 8, 12, 14} {11, 15, 16, 8, 12, 14} {1, 10, 8, 29, 14, 17, 3} {1, 10, 8, 29, 14, 17, 3}

1 answer

To find which dataset has the highest median, we need to calculate the median for each of the provided datasets.

  1. Dataset 1: {1, 6, 15, 7, 15, 18, 14}

    • Sorted: {1, 6, 7, 14, 15, 15, 18}
    • Median (middle number in odd set): 14

  2. Dataset 2: {1, 6, 15, 7, 15, 18, 14} (same as dataset 1)

    • Median: 14

  3. Dataset 3: {8, 20, 13, 14, 12, 9}

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

  4. Dataset 4: {8, 20, 13, 14, 12, 9} (same as dataset 3)

    • Median: 12.5

  5. Dataset 5: {11, 15, 16, 8, 12, 14}

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

  6. Dataset 6: {11, 15, 16, 8, 12, 14} (same as dataset 5)

    • Median: 13

  7. Dataset 7: {1, 10, 8, 29, 14, 17, 3}

    • Sorted: {1, 3, 8, 10, 14, 17, 29}
    • Median (middle number in odd set): 10

  8. Dataset 8: {1, 10, 8, 29, 14, 17, 3} (same as dataset 7)

    • Median: 10

Now, summarizing the medians:

  • Dataset 1: 14
  • Dataset 2: 14
  • Dataset 3: 12.5
  • Dataset 4: 12.5
  • Dataset 5: 13
  • Dataset 6: 13
  • Dataset 7: 10
  • Dataset 8: 10

The highest median among these datasets is 14 from both Dataset 1 and Dataset 2.