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Which data set has the highest median?(1 point)
Responses

{11, 15, 16, 8, 12, 14}
left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace

{1, 10, 8, 29, 14, 17, 3}
left brace 1 comma 10 comma 8 comma 29 comma 14 comma 17 comma 3 right brace

{8, 20, 13, 14, 12, 9}
left brace 8 comma 20 comma 13 comma 14 comma 12 comma 9 right brace

{1, 6, 15, 7, 15, 18, 14}

1 answer

To determine which data set has the highest median, we need to calculate the median of each set. The median is the middle value of a data set when organized in ascending order. If there is an even number of values, the median is the average of the two middle values.

Let's calculate the median for each data set:

  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, 10, 8, 29, 14, 17, 3}

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

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

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

  4. Data Set 4: {1, 6, 15, 7, 15, 18, 14}

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

Now, we have the medians:

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

The data set with the highest median is {1, 6, 15, 7, 15, 18, 14} with a median of 14.