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Sarah: 79, 70, 68, 75, 69, 75, 64, 76

Katie: 79, 79, 76, 81, 89, 76, 64, 85, 82, 78
Sarah and Katie record their 10 best times (in seconds) for a swimming race. What is the mode of each dataset? Fill in the blanks with the numbers that make the statements true, separated by a comma. Remember, a dataset can have more than one mode. Sarah's mode(s): ??; Katie's mode(s): ??

1 answer

To find the mode of each dataset, we need to identify the most frequently occurring times in each list.

Sarah's Data:

  • Sarah: 79, 70, 68, 75, 69, 75, 64, 76

Counting the occurrences:

  • 79: 1 time
  • 70: 1 time
  • 68: 1 time
  • 75: 2 times
  • 69: 1 time
  • 64: 1 time
  • 76: 1 time

The number that appears most frequently is 75, which appears 2 times.

Mode(s) of Sarah's dataset: 75

Katie's Data:

  • Katie: 79, 79, 76, 81, 89, 76, 64, 85, 82, 78

Counting the occurrences:

  • 79: 2 times
  • 76: 2 times
  • 81: 1 time
  • 89: 1 time
  • 64: 1 time
  • 85: 1 time
  • 82: 1 time
  • 78: 1 time

The numbers that appear most frequently are 79 and 76, each appearing 2 times.

Mode(s) of Katie's dataset: 79, 76

So, filling in the blanks: Sarah's mode(s): 75; Katie's mode(s): 79, 76.