Question

assume this is a positive ordered set of data. which statistics show values that would most likely describe the following set of data? x, 9, 11, 13, y, 20. mean = 12, median = 10, range = 17, interquartile range = 7, mid - range = 12. describe the data. do not describe the data.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Analyze given range values

If range = 17, assume maximum is 20, then minimum is 20 - 17=3. If range = 23, assume maximum is 20, then minimum is 20 - 23=- 3 (not valid as data is positive - ordered). If range = 7, assume maximum is 20, then minimum is 20 - 7 = 13 (not valid as we have values like 9,11 in data - set). If inter - quartile range = 12, it is a measure of spread between the first and third quartiles. If inter - quartile range = 7, it is also a measure of spread within the middle 50% of the data. The mean of 12 and median of 10 are measures of central tendency. The range of 17 is the most reasonable value as it gives a valid minimum value considering the positive - ordered nature of the data.

Answer:

Range = 17