Find the mode of the observations 23,27,38,42,27,58,69,71,45.

Correct option is B

Given:

Observations 23, 27, 38, 42, 27, 58, 69, 71, 45. 

Concept Used: ​

The mode of a set of observations is the value that appears most frequently.

Solution:

Count the frequency of each value

• 23 appears 1 time
• 27 appears 2 times
• 38 appears 1 time
• 42 appears 1 time
• 58 appears 1 time
• 69 appears 1 time
• 71 appears 1 time
• 45 appears 1 time

The value 27 appears 2 times, which is the highest frequency.

The mode of the given observations is 27.

Thus the correct answer is (B)