Respuesta :
Using it's concepts, the measures for her scores are given as follows:
- Mean: 71.3.
- Median: 71
- Mode: 72
- Range: 10.
- Mean Absolute Deviation: 1.93.
What is the mean absolute deviation of a data-set?
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
Researching this problem on the internet, the data-set is given by:
72, 69, 72, 71, 71, 69, 78, 72, 68.
Hence the mean is given by:
(72 + 69 + 72 + 71 + 71 + 69 + 78 + 72 + 68)/9 = 71.3.
The MAD is given by:
(|72-71.3| + |69-71.3| + |72-71.3| + |71-71.3| + |71-71.3| + |69-71.3| + |78-71.3| + |72-71.3| + |68-71.3|)/9 = 1.93.
What are the median, the mode and the range of a data-set?
The median is the score that separates the bottom 50% from the upper 50% of scores. The ordered data-set is given by:
68, 69, 69, 71, 71, 72, 72, 72, 78
There are 9 scores, which is an odd number, hence the median is the middle element, which is the 5th, of 71.
The mode is the number that appears the most times in the data-set, which is of 72.
The range is the difference between the highest score of the data-set by the lowest, hence 78 - 68 = 10.
More can be learned about statistical measures at https://brainly.com/question/24628525
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