A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.

The counselor converts the frequency table to a conditional relative frequency table by column

What is the value of X?
0.16
0.20
0.24
0.40

A guidance counselor compiles data relating a students English grade to the number of languages studied The results are shown in the frequency table below The c class=
A guidance counselor compiles data relating a students English grade to the number of languages studied The results are shown in the frequency table below The c class=

Respuesta :

Answer:

(C) 0.24

Step-by-step explanation:

Relative frequency = [tex]\frac{Subgroup count}{Total count}[/tex]

For finding the value of X, The subgroup count of the column = 120

Total count = 500

Therefore, putting in the formula, we get

Relative frequency (X) = 120/500

                                     = 0.24

Hence option (C) 0.24 is correct.

Relative frequency is relative to the total frequency.The value of X for the considered relative frequency table is given by: Option C: 0.24

How to find the relative frequency?

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

For this case, we know that:

Total count = Total count of students = 500

The sub group from which X derives its value is the total count of those students who study only English. its count is 120.

Thus, relative frequency of students' who study on english is:

[tex]R_{\text{only English}} = \dfrac{\text{number of students studying only English}}{\text{Total number of students overall in consideration}} \\\\R_{\text{only English}} = \dfrac{120}{500} = 0.24[/tex]

Thus, the value of X for the considered relative frequency table is given by: Option C: 0.24

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