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Measures of Central Tendency and Variability

#1- Indicate and defend which measures of central tendency and variability you think is most appropriate for these data:

3,5,3,2,8,4,6,7,1,4,3,2

#2- Calculate the semi-interquartile range for these data and indicate which measure of central tendency and variability would provide the best description of these data:

24,16,22,22,24,22,18,22,20,18,20,22,20,22,18,16,20,24,24,18

#3. Calculate the semi-interquartile range for the dustribution and indicate which measure of central tendency and variability would provide the best description of these data:

Intersection speed(mph)
60-69
50-59
40-49
30-39
20-29
10-19
00-09

Number of Vehicles
38
30
26
22
30
38
22

Solution Preview

#1- Indicate and defend which measures of central tendency and variability you think is most appropriate for these data:
3,5,3,2,8,4,6,7,1,4,3,2

Because the data is skewed (there are more numbers closer to the lower end than the higher end), so the median would be an appropriate measure of central tendency and the interquartile range would be the best measure of variability. If it was determined that the skewness was not too severe, you could choose the mean (average) and standard deviation.

#2- Calculate the semi-interquartile range for these data and indicate which measure of central tendency and ...

$2.19