Question

A frequency table of grades has five classes​ (a, b,​ c, d,​ f) with frequencies of 44​, 1515​, 1818​, 66​, and 11 respectively. what are the relative frequencies of the five​ classes?

Answer 1

Refer to the histogram shown below.

Total frequency = 44 + 1515 + 1818 + 66 + 11 = 3454.

Calculate relative frequencies, to the nearest thousandth.
Class a:
44/3454 = 0.0127
Answer:  0.013 

Class b:
1515/3454 = 0.4386
Answer: 0.439

Class c:
1818/3454 = 0.5263
Answer: 0.526

Class d:
66/3454 = 0.0191
Answer: 0.019

Class f:
11/3454 = 0.0032
Answer: 0.003

Answer 2

The relative frequency for the class 'a' is 0.013, the relative frequency for the class 'b' is 0.439, the relative frequency for the class 'c' is 0.527, the relative frequency for the class 'd' is 0.019, the relative frequency for the class 'f' is 0.00319.

What is a relative frequency?

It is defined as the ratio of the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

We have a frequency table of grades has five classes:

a , b , c, d, f  with frequencies

44, 1515, 1818, 66, 11

Sum of the frequency = 44 + 1515 + 1818 + 66 + 11

= 3454

Relative frequency for class a = 44/3454 ⇒ 0.0127 ≈ 0.013

Relative frequency for class b = 1515/3454 ⇒ 0.4386 ≈ 0.439

Relative frequency for class c = 1818/3454⇒ 0.5263≈ 0.527

Relative frequency for class d = 66/3454 ⇒ 0.0191≈ 0.019

Relative frequency for class f = 11/3454 ⇒ 0.003184≈ 0.00319

Thus, the relative frequency for the class 'a' is 0.013, the relative frequency for the class 'b' is 0.439, the relative frequency for the class 'c' is 0.527, the relative frequency for the class 'd' is 0.019, the relative frequency for the class 'f' is 0.00319.

Learn more about the relative frequency here:

brainly.com/question/8358304

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