Compare the two sets and describe what you discover.
46, 47, 52, 54, 61, 64, 69
57, 57, 57, 57, 58, 61, 61
Here is a start.
Find the mean first = sum of scores/number of scores
Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.
Standard deviation = square root of variance
I'll let you do the calculations.
To compare the two sets, you need to identify any similarities and differences between them.
First, let's compare the values in the two sets:
Set 1: 46, 47, 52, 54, 61, 64, 69
Set 2: 57, 57, 57, 57, 58, 61, 61
Similarities:
- Both sets have the value 61, which appears in both sets.
- Both sets also have the values 57 and 58, but they appear more frequently in Set 2.
Differences:
- Set 1 has values that do not appear in Set 2, specifically 46, 47, 52, 54, 64, and 69.
- Set 2 has values that do not appear in Set 1, which are repetitions of the number 57.
Additionally, you can observe that Set 1 has a wider range of values, including a larger maximum value (69) compared to Set 2 (58). Meanwhile, Set 2 has a higher frequency of the number 57.
Comparing the two sets reveals both similarities and differences in their values and distributions.