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Question: Find the mean and mode of the dot plot as shown.



A ) 5.5 & 25
B ) 5.5 & 25, 40
C ) 3.5 & 50
D ) 5.5 & 25, 50

Steps to derive

1 The number of dots above each number on the horizontal line represents the frequency of that particular number.

2 The frequency distribution for the dot plot is shown in the table.


3 Mean = sum of the frequenciesnumber of terms
 [Formula.]

4 Mean = 6+5+3+7+9+7+4+9+3+210
 [Substitute the values.]

5 Mean = 5510= 5.5
 [Simplify.]

6 The value that occurs most often in the data set is called the mode.

7 Since both 25 and 40 occurs 9 times, the modes are 25 and 40. The data set is said to be bimodal.

8 So, the mean of the data set is 5.5 and modes are 25 and 40.



Hence the right answer is Option B

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