Question

Based on the data 5, 2, 6, 7, 3, 58, which of the measures of central tendency best describes the data?

A) Mean
B) Median
C) Mode
D) Range

Answer 1

The median is the best measure of central tendency for the given data set.

Step-by-step explanation:

The measures of central tendency are statistical measures used to describe the center of a data set. The mean is the average of all the numbers. The median is the middle value when the data set is arranged in order. The mode is the value that appears most frequently. The range is the difference between the largest and smallest values in the data set.

In this case, based on the data 5, 2, 6, 7, 3, 58, the best measure of central tendency would be the median. When the data set contains extreme values or outliers, the median is a better representation of the center since it is not affected by these values.

Answer 2

The median is the best measure of central tendency for the given data set.

Step-by-step explanation:

The measures of central tendency are statistical measures used to describe the center of a data set. In this case, the data set 5, 2, 6, 7, 3, 58 does not have a clear high frequency of any specific value, so the mode is not the best measure of central tendency. The range does not provide information about the center of the data. The mean is the sum of all the values divided by the number of values (5+2+6+7+3+58)/6 = 7.83. The median is the middle value when the data is arranged in order (2,3,5,6,7,58) = 5.5. Since the data set has outliers (e.g., 58), the best measure of central tendency would be the median, as it is not affected by extreme values.