Question 1:
Which measure of central tendency is most affected by extreme values?
Explanation: The correct answer is A) Mean. The mean is most affected by extreme values because it takes into account every value in the dataset. Even a single extreme value can significantly influence the mean, pulling it away from the center.
Question 2:
Which measure of central tendency is the middle value when the dataset is arranged in ascending order?
Explanation: The correct answer is B) Median. The median is the middle value when the dataset is arranged in ascending or descending order. It is not influenced by extreme values and provides a robust measure of central tendency.
Question 3:
Which measure of dispersion describes the average distance between each data point and the mean?
Explanation: The correct answer is D) Standard deviation. The standard deviation measures the average distance between each data point and the mean. It provides an indication of the spread or dispersion of the data.
Question 4:
Which measure of dispersion is not affected by extreme values in the dataset?
Explanation: The correct answer is D) Interquartile range. The interquartile range is a measure of dispersion that is not affected by extreme values in the dataset. It is based on the values of the first quartile (25th percentile) and the third quartile (75th percentile) and represents the range of the middle 50% of the data.
Question 5:
Which measure of dispersion provides information about the range of values in the dataset?
Explanation: The correct answer is C) Range. The range provides information about the spread of values in the dataset by measuring the difference between the maximum and minimum values. It gives a simple indication of the variability of the data.
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