Answer:
2. mean: 53.75; median: 56.5; mode: 65; median is best
4. mean: 24.4; median: 20.45; no mode; median is best
Explanation:
You want the mean, median, mode, and best representation of the data for data sets ...
2. — 55,65,49,22,56,65,61,57
4. — 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6
Mean
The mean of the data is the sum of the data values, divided by the number of data values.
Median
The median data value is the middle of the sorted list, or the average of the two middle values. Here, there are an even number of data values in each list, so the median is the average of the middle two.
Mode
The mode of the data set is the value that is repeated most often. A data set may have multiple modes. Here, where one of the datasets has no repeated values, we describe it as having "no mode."
Data set 2
The first attachment shows the descriptive statistics are ...
- mean: 53.75
- median: 56.5
- mode: 65
The data is skewed to the left, with the value 22 being an outlier. This value reduces the mean. The mode is the maximum value in the data set, so it does not fairly represent the data, either.
The median best represents the data.
Data set 4
The second attachment shows the descriptive statistics are ...
- mean: 24.4
- median: 20.45
- mode: none (no repeated values)
The data is skewed to the right, with the value 68.1 being an outlier. This tends to raise the mean above what it would otherwise be. There is no mode.
The median is best represents the data.
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