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A partial relative frequency distribution is given. Class Relative Frequency A 0.22 B 0.18 C 0.41 D (a) What is the relative frequency of class D? (b) The total sample size is 400. What is the frequency of class D? (c) Show the frequency distribution. Class Frequency A B C D (d) Show the percent frequency distribution. Class Percent Frequency (%) A B C D Hide Feedback Incorrect

Respuesta :

Answer:

a) [tex] r_D =1-0.22-0.18-0.41=0.19[/tex]

b) [tex] n_D = r_D *T = 0.19*400 =76[/tex]

c)

Category      Rel .Freq            Freq.

_________________________________

   A                  0.22             0.22*400=88

   B                  0.18              0.18*400=72

   C                  0.41              0.41*400=164

   D                  0.19              0.19*400=76

__________________________________

Total                1.00                    400

d)

Category      Rel .Freq           %

______________________________

   A                  0.22           0.22*100=22%

   B                  0.18            0.18*100=18%

   C                  0.41            0.41*100=41%

   D                  0.19           0.19*100=19%

_______________________________

Total                1.00               100%

Step-by-step explanation:

For this case we have the following info given:

Category      Rel .Freq

___________________

   A                  0.22

   B                  0.18  

   C                  0.41

   D                  0.19

___________________

Total                1.00

Part a

Since the total for the relative frequency needs to be 1, we can find the relative frequency for D like this:

[tex] r_D =1-0.22-0.18-0.41=0.19[/tex]

Part b

For this case we have this:

[tex] n_D = r_D *T = 0.19*400 =76[/tex]

Part c

For this case we can create the following table :

Category      Rel .Freq            Freq.

_________________________________

   A                  0.22             0.22*400=88

   B                  0.18              0.18*400=72

   C                  0.41              0.41*400=164

   D                  0.19              0.19*400=76

__________________________________

Total                1.00                    400

Part d

If we want the % we just need to multiply the Relative frequency by 100, and we got:

Category      Rel .Freq           %

______________________________

   A                  0.22           0.22*100=22%

   B                  0.18            0.18*100=18%

   C                  0.41            0.41*100=41%

   D                  0.19           0.19*100=19%

_______________________________

Total                1.00               100%

MrRoyal

A relative frequency distribution is used to determine the percentage of each category.

  • The relative frequency of class D is 0.19
  • The frequency of class D is 76

The relative frequency of class D

The table entries are given as:

A   0.22

B   0.18

C   0.41

D    

The sum of the relative frequency must equal 1.

So, we have:

[tex]0.22 + 0.18 + 0.41 + D =1[/tex]

[tex]0.81 + D =1[/tex]

Subtract 0.81 from both sides

[tex]D =0.19[/tex]

Hence, the relative frequency of class D is 0.19

(b) The frequency of class D

Since the sample size is 400, then the frequency of class D is calculated using:

[tex]D =0.19 \times 400[/tex]

[tex]D =76[/tex]

(c) The frequency distribution

The frequency distribution shows the frequency of each class.

So, we have:

Class    Frequency

A             88

B             72

C            164

D            76

(d) The percent frequency distribution

The percent frequency distribution shows the percentage of each class.

So, we have:

Class    Percentage

A             22%

B             18%

C            41%

D            19%

Read more about frequency distribution at:

https://brainly.com/question/1094036

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