Examine the following consider the following data for analysis includes the attribute age. The age values for the data tuples are (in increasing order) 13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70. (a) Use min-max normalization to transform the value 35 for age on to the range [0.0, 1.0]. (b) Use z-score normalization to transform the value 35 for age, where the standard deviation of age is 12.94 years. (c) Use normalization by decimal scaling to transform the value 35 for age. (d) Comment on which method you would prefer to use for the given data, giving reasons as to why.
Answers
Explanation:
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a) The (arithmetic) mean of the data is: = 809/27 = 30.
The median (middle value of the ordered set, as the number of values in the set is odd) of the data is: 25.
b) This data set has two values that occur with the same highest frequency.
The modes (values occurring with the greatest frequency) of the data are 25 and 35.
c) The mid range (average of the largest and smallest values in the data set) of the data is: (70+13)=2 = 41.5
d) The first quartile (corresponding to the 25th percentile) of the data is: 20. The third quartile (corresponding to the 75th percentile) of the data is: 35.
e) third quartile, and maximum value. It provides a good summary of the shape of the distribution and for this data is: 13, 20, 25, 35, 70.
f) use the graph to show this data.
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