GradeFrequencyRelative frequency

A5

B11

C16

D5

F1

(Round to two decimal places as needed.)

Chesley
2021-09-06
Answered

Complete the table.

GradeFrequencyRelative frequency

A5

B11

C16

D5

F1

(Round to two decimal places as needed.)

GradeFrequencyRelative frequency

A5

B11

C16

D5

F1

(Round to two decimal places as needed.)

You can still ask an expert for help

Derrick

Answered 2021-09-07
Author has **94** answers

The relative frequency is the ratio of the frequency to the total number of data, expressed in percentage.

Here, the total number of data is 5+11+16+5+1=38. Hence, the relative frequencies are:

$A:\frac{5}{38}\sim 0.1316\to 13.16\mathrm{\%}$

$B:\frac{11}{38}\sim 0.2895\to 28.95\mathrm{\%}$

$C:\frac{16}{38}\sim 0.4211\to 42.11\mathrm{\%}$

$D:\frac{5}{38}\sim 0.1316\to 13.16\mathrm{\%}$

$F:\frac{1}{38}\sim 0.0263\to 2.63\mathrm{\%}$

Note: If 42.11% does not work, try 42.10%.

Here, the total number of data is 5+11+16+5+1=38. Hence, the relative frequencies are:

Note: If 42.11% does not work, try 42.10%.

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Examine the two-way frequency table below.

$\begin{array}{|cccc|}\hline & \text{Score: 90-100}& \text{Score: 70-89}& \text{Score:0-69}\\ \text{Math Test}& 20& 40& 7\\ \text{Science Test}& 15& 35& 5\\ \hline\end{array}$

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Which percentage of students took the math test and received a grade of 90 or above?

a)29.85%

b)57.14%

c)28.69%

d)16.39%