In: Statistics and Probability
In a college freshman Math course, the following grades were recorded:
45 57 38 56 45 64 29 49 48 41 37 48 61 36 34 72 47 54 41 50 55 26 47 41 47 36 49 71 55 62
Determine the mean, median, mode(s), quartile 1, quartile 3, and IQR for the data given
45 | 57 | 38 | 56 | 45 | 64 | 29 | 49 | 48 | 41 | 37 | 48 | 61 | 36 | 34 | 72 | 47 | 54 | 41 | 50 | 55 | 26 | 47 | 41 | 47 | 36 | 49 | 71 | 55 | 62 |
The Median is the middle number in the set of ordered data.
Sort the data in ascending order
26 | 29 | 34 | 36 | 36 | 37 | 38 | 41 | 41 | 41 | 45 | 45 | 47 | 47 | 47 | 48 | 48 | 49 | 49 | 50 | 54 | 55 | 55 | 56 | 57 | 61 | 62 | 64 | 71 | 72 |
The Mode is the number that occurs more often.
Sort the data in ascending order
26 | 29 | 34 | 36 | 36 | 37 | 38 | 41 | 41 | 41 | 45 | 45 | 47 | 47 | 47 | 48 | 48 | 49 | 49 | 50 | 54 | 55 | 55 | 56 | 57 | 61 | 62 | 64 | 71 | 72 |
Here 41, 47 occurs more often.
Sort the data in ascending order
26 | 29 | 34 | 36 | 36 | 37 | 38 | 41 | 41 | 41 | 45 | 45 | 47 | 47 | 47 | 48 | 48 | 49 | 49 | 50 | 54 | 55 | 55 | 56 | 57 | 61 | 62 | 64 | 71 | 72 |
Sort the data in ascending order
26 | 29 | 34 | 36 | 36 | 37 | 38 | 41 | 41 | 41 | 45 | 45 | 47 | 47 | 47 | 48 | 48 | 49 | 49 | 50 | 54 | 55 | 55 | 56 | 57 | 61 | 62 | 64 | 71 | 72 |