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Find the range and the mode of the given data: 31, 33, 37, 31, 43, 33, 45, 34, and 33.


1. 12, 33
2. 12, 31
3. 14, 33
4. 14, 31

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Correct Answer - Option 3 : 14, 33

Given:

The given data,

31, 33, 37, 31, 43, 33, 45, 34, and 33

Concept used:

Range of the data is the difference of the largest value and the smallest value

Mode is the most repeated value in a data

Calculations:

Arranging the values in ascending order

31, 31, 33, 33, 33, 34, 37, 43, 45

Smallest value = 31        

Largest value = 45

Range = 45 – 31

⇒ Range = 14

The most repeated term,

Mode = 33

 The range and the mode of the given data is 14 and 33 respectively.

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