Question

Find the modes of the data set
44.1mm42.9 47.8 45.6 43.5 47.5 44.1 42.3 48.1 45.6

Answer 1

To find the modes of the dataset, we first need to organize and tally the frequency of each unique value. The provided dataset is:

44.1, 42.9, 47.8, 45.6, 43.5, 47.5, 44.1, 42.3, 48.1, 45.6

Now we can list the values along with their frequencies:

- 42.3: 1 occurrence
- 42.9: 1 occurrence
- 43.5: 1 occurrence
- 44.1: 2 occurrences
- 45.6: 2 occurrences
- 47.5: 1 occurrence
- 47.8: 1 occurrence
- 48.1: 1 occurrence

From this tally, we can see that:
- 44.1 occurs 2 times
- 45.6 occurs 2 times

Since both 44.1 and 45.6 appear most frequently (twice), the dataset has two modes.

**Modes of the dataset:** 44.1 mm and 45.6 mm.