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Question

# The mode(s) of the following data set is(are) . 11 19 20 11 12 16 15 19 18 13

A
11 and 19
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B
Only 11
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C
Only 19
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Solution

## The correct option is A 11 and 19Step 1: Let's arrange the given data set in ascending order. 11 11 12 13 15 16 18 19 19 20 Step 2: The frequency table of the above data set is as follows. Frequency Table Number Frequency Number Frequency 11––– 2– 16 1 12 1 18 1 13 1 19––– 2– 15 1 20 1 From the above frequency table, it is very clear that the numbers 11 and 19 appear the most number of times in the given data set. Hence, the modes of the given data set are 11 and 19. Note:––––––– Any data set with two modes is called bimodal data. As the given data set has two modes, 11 and 19, it is bimodal data set.

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