Question

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

Answer 1

Answer:

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