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Question

# What is the mode of the following data set? 13 17 11 15 19

A
13
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B
17
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C
19
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D
No mode
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Solution

## The correct option is D No modeFirst, we arrange the numbers of the given data set in ascending order. 11 13 15 17 19 Next, we make a frequency table. Frequency Table Number Frequency 11 1 13 1 15 1 17 1 19 1 From the above frequency table, it is clear that all the numbers of the given data set appear the same number of time, i.e. once. Note:––––––– If every value in a data set occurs the same number of time, then the data set has no mode. Hence, the given data set {13,17,11,15,19} has no mode, i.e., option (d.) is the correct one.

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