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

Responses

{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}
left brace 1 comma 6 comma 15 comma 7 comma 15 comma 18 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

{11, 15, 16, 8, 12, 14}

1 answer

To find which data set has the highest median, we need to first calculate the median of each set.

  1. Data Set 1: {8, 20, 13, 14, 12, 9}

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

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

    • Sort: {1, 6, 7, 14, 15, 15, 18}
    • Median: 14 (the middle value)

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

    • Sort: {1, 3, 8, 10, 14, 17, 29}
    • Median: 10 (the middle value)

  4. Data Set 4: {11, 15, 16, 8, 12, 14}

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

Now we can summarize the medians:

  • Data Set 1 median = 12.5
  • Data Set 2 median = 14
  • Data Set 3 median = 10
  • Data Set 4 median = 13

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