Determine the value of the range,the interquartile range, the median,and mode for the following data set: 5, 7, 9, -1, -3, 4, 17, 16, 3, 2, 18, 13, 18, 18, 18, 19, 12, 20, 23, 22, 23, 26, 17, 13, 20, 4, 5, -2, 4, 5, 7

 

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The range, the inter-quartile range, median and mode have to be determined for the data set consisting of: 5, 7, 9, -1, -3, 4, 17, 16, 3, 2, 18, 13, 18, 18, 18, 19, 12, 20, 23, 22, 23, 26, 17, 13, 20, 4, 5, -2, 4.

The range is the difference between the highest value and the lowest value. For the given values it is 26 + 3 = 29

The median is value that lies in the middle. Here it is 13. The mode is the value with the largest number of instances. The mode is 18

The inter quartile range is the difference between the first quartile which is 4 and the third quartile which is 18.5. This gives the inter quartile range as 14.5

The required range is 29, mode is 18, median is 13 and inter quartile range is 14.5

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