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------------------------------------------------ What is the median of the data set?

1.50, 1.70, 1.60, 1.60, 1.70, 1.80, 1.50, 1.50, 1.60, 2.00, 2.00

Options:
A. 2.00
B. 1.70
C. 1.60
D. 1.50

Answer :

The median of the given data set 1.50, 1.70, 1.60, etc., after sorting the values in ascending order, is 1.60, which is the 8th value.

The median of a data set is the middle value when the numbers are sorted in ascending order. If the number of values is odd, the median is the single middle number. If the number of values is even, as in this case, the median is calculated as the average of the two middle values. To find the median for the data set 1.50, 1.70, 1.60, 1.60, 1.70, 1.80, 1.50, 1.50, 1.60, 2.00, 2.00, 2.00, 1.70, 1.60, 1.50, first we sort the data in ascending order.

After sorting, the numbers in order are: 1.50, 1.50, 1.50, 1.50, 1.60, 1.60, 1.60, 1.60, 1.70, 1.70, 1.70, 1.80, 2.00, 2.00, 2.00. There are 15 values, so the median is the 8th value after sorting, which is 1.60.