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5 February, 19:29

After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies?

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  1. 5 February, 21:52
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    The sum should be 100% if percentages are used and 1 if proportion is used.

    Step-by-step explanation:

    A relative frequency distribution is a type of frequency distribution. This can be explained using the frequency table given below:

    Student IQ-Score

    Jake 12

    Blake 10

    Toby 18

    Harry 20

    Total 60

    To calculate Relative Frequency Distribution using percentage:

    We add the total IQ score 12+10+18+20 = 60

    Then divide each individual IQ Score by the Total IQ Score multiply by 100

    Jake will have 12/60 * 100 = 20

    Blake will have 10/60 * 100 = 16.67

    Toby will have 18/60 * 100 = 30

    Harry will have 20/60 * 100 = 33.33.

    To calculate Relative Frequency Distribution using 1:

    We add the total IQ score 12+10+18+20 = 60

    Then divide each individual IQ Score by the Total IQ Score.

    Jake will have 12/60 = 0.2

    Blake will have 10/60 = 0.17

    Toby will have 18/60 = 0.3

    Harry will have 20/60 = 0.33

    The Relative Frequency Distribution Table becomes:

    Student IQ-Score

    Jake 12 20 0.2

    Blake 10 16.67 0.17

    Toby 18 30 0.3

    Harry 20 33.33 0.33

    Total 60 100 1
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