The mean, median, standard deviation, and interquartile range for each data set is given below.
What is the definition of Interquartile Range (IQR)?
When arranged from lowest to highest, the IQR represents the central 50% of values.
Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).
These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.
What are the measures of central tendency for Manuels Data?
Using the statistical tool, the following were arrived at:
- Standard Deviation = 3.13961
- Mean = 8
- Median = 8
- IQR = Q3-Q1 = 10 - 6 = 4
What are the measures of central tendency for Grethcen's Data?
Using the statistical tool, the following were arrived at:
- Standard Deviation = 4.68737.
- Mean = 9.6
- Median = 9
- IQR = IQR = Q3-Q1 = 12 - 7 = 5.
See the respective Histograms attached.
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