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The relative frequencies for a set of data are shown in the table below.

Value Relative Frequency
2 0.16
4 0.28
6 0.24
8 0.32
If there are a total of 25 data values, with what frequency does the data value 2 occur?

Respuesta :

Using the relative frequency concept, it is found that the data value of 2 occurs with a frequency of 4.

What is a relative frequency?

  • A relative frequency is given by the number of desired outcomes, also called frequency, divided by the number of total outcomes, that is:

[tex]r_f = \frac{D}{T}[/tex]

In this problem:

  • There are 25 data values, hence [tex]T = 25[/tex].
  • The relative frequency of data value 2 is of 0.16, hence [tex]r_f = 0.16[/tex].

Then:

[tex]r_f = \frac{D}{T}[/tex]

[tex]0.16 = \frac{D}{25}[/tex]

[tex]D = 0.16(25)[/tex]

[tex]D = 4[/tex]

The data value of 2 occurs with a frequency of 4.

You can learn more about relative frequency at https://brainly.com/question/25971978

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