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.