Answer: Part A: To find the mean of the data, we add up all the values and divide by the total number of values.
In this case, the data is represented by the key "3|2 = 32". From the key, we can see that the sum of all the values is 32.
To find the mean, we divide the sum (32) by the total number of values, which is 3.
Mean = Sum of values / Total number of values
Mean = 32 / 3
Mean = 10.67 (rounded to two decimal places)
Therefore, the mean of the data is approximately 10.67.
Part B: To find the median of the data, we arrange the values in ascending order and identify the middle value.
In this case, we have only one value, which is 32. Since there is only one value, the median is simply 32.
Therefore, the median of the data is 32.
Part C: To find the mode of the data, we identify the value that appears most frequently.
In this case, we only have one value, which is 32. Since there is only one value, there is no mode.
Therefore, the mode of the data is not applicable.
Part D:
- Mean: The mean represents the average value of the data. It takes into account all the values in the dataset and provides a measure of the central tendency. In this case, the mean is approximately 10.67.
- Median: The median represents the middle value of the data when arranged in ascending order. It is not influenced by extreme values and is a good measure when the data is skewed or contains outliers. In this case, the median is 32.
- Mode: The mode represents the value(s) that appear most frequently in the dataset. It is useful when identifying the most common value(s). In this case, there is no mode since there is only one value.
In this particular scenario, the value that would best represent the data depends on the context and the purpose of the analysis. If we are looking for a typical or average value, the mean (10.67) would be a suitable choice. However, if we are concerned about the central value that is not influenced by extreme values, the median (32) would be a better representation. Since there is only one value, there is no mode to consider.
Therefore, the choice of the best representation (mean, median, or mode) would depend on the specific needs and interpretation of the data.
Explanation: