14. Which measure of central tendency would be the best representation of blood sugar measurements based on the graph below?
Answer: B
The median is the best measure of central tendency for representing blood sugar measurements.
The median provides the most accurate reflection of central tendency when dealing with blood sugar measurements, especially if the data set contains outliers.
A) Mode
The mode represents the most frequently occurring value in a data set. While it can indicate common blood sugar levels, it does not account for the distribution of all measurements, which may be skewed by extreme values.
B) Median
The median is the middle value when all measurements are ordered. It effectively minimizes the impact of outliers, making it the most reliable measure of central tendency for blood sugar levels, which can vary widely.
C) Range
The range indicates the difference between the highest and lowest values in a data set. While it provides information about the spread of the data, it does not reflect the central tendency and thus is not suitable for representing average blood sugar measurements.
D) Mean
The mean is the arithmetic average of all measurements, but it can be heavily influenced by outliers. In the context of blood sugar measurements, where extreme values might occur, the mean may not accurately represent the typical blood sugar level.
Conclusion
The median stands out as the best measure of central tendency for blood sugar measurements due to its resistance to the effects of outliers. In contrast, the mode, range, and mean each fail to provide a comprehensive and reliable representation of the data in the context of variability in blood sugar levels.