Question

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): ??

Answer 1

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**

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**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**

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