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

Responses

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

{8, 20, 13, 14, 12, 9}

1 answer

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

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

    • Sort the data: {1, 6, 7, 14, 15, 15, 18}
    • The median is the middle value: 14.

  2. Set 2: {1, 10, 8, 29, 14, 17, 3}

    • Sort the data: {1, 3, 8, 10, 14, 17, 29}
    • The median is the middle value: 10.

  3. Set 3: {11, 15, 16, 8, 12, 14}

    • Sort the data: {8, 11, 12, 14, 15, 16}
    • There are an even number of values, so the median is the average of the two middle values: (12 + 14) / 2 = 13.

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

    • Sort the data: {8, 9, 12, 13, 14, 20}
    • There are an even number of values, so the median is the average of the two middle values: (12 + 13) / 2 = 12.5.

Now we can compare the medians calculated:

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

The highest median is from Set 1: {1, 6, 15, 7, 15, 18, 14} with a median of 14.