Question : Find the mode for the given distribution (rounded off to two decimal places).
Option 1: 35.25
Option 2: 40.25
Option 3: 30.33
Option 4: 28.33
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Correct Answer: 28.33
Solution : Here, the maximum frequency is 11, and the corresponding class is 25–30. So the modal class is 25–30. Now lower limit of the modal class ($l$) = 25, Frequency of the modal class ($f_1$) = 11 Frequency of the preceding modal class ($f_0$) = 9 Frequency of the succeeding modal class ($f_2$) = 10 class size ($h$) = 5 We know, mode = $l + (\frac{f_1-f_0}{2f_1-f_0-f_2})×h$ = $25 + (\frac{11-9}{2(11)-9-10})×5$ = $25 + (\frac{2}{3})×5$ = $25 + 3.33$ = $28.33$ Hence, the correct answer is 28.33.
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Question : Refer to the following data table and answer the question.
What is the ratio of number of the boys to girls?
Option 1: 26 : 31
Option 2: 31 : 26
Option 3: 33 : 28
Option 4: 28 : 33
Question : Calculate the mean from the following table.
Option 1: 34.2
Option 2: 33.4
Option 3: 32.6
Option 4: 35.8
Question : The table given below shows the number of salesmen in five companies.
What is the average number of salesmen in C2, C4, and C5?
Option 1: 5
Option 2: 10
Option 3: 15
Option 4: 20
Question : The following table shows the marks distribution among the students in a class.
How many students scored marks between 20 and 30?
Option 1: 2
Option 2: 5
Option 3: 1
Option 4: 6
Question : Refer to the data table and answer the following question.
How many students have scored marks 20 or more but less than 40?
Option 1: 31
Option 2: 56
Option 3: 44
Option 4: 100
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