Which of the following is the semi-interquartile range of a distribution?
Answer Details
The semi-interquartile range is a measure of variability in a dataset. To calculate it, we first need to find the median of the dataset, which is the middle value when the data is arranged in order from lowest to highest. Then, we need to find the quartiles, which are the values that divide the dataset into four equal parts.
The semi-interquartile range is half of the difference between the upper quartile and the lower quartile. The upper quartile is the value that separates the highest 25% of the data from the lowest 75%, while the lower quartile is the value that separates the lowest 25% of the data from the highest 75%.
Looking at the given options, the formula that corresponds to the semi-interquartile range is:
1/2 (Upper Quartile - Lower Quartile)
Therefore, the correct answer is option d) "1/2 (Upper Quartile - Lower Quartile)".