Question

a sample of students is asked about the color of their dream car. 13 students responded
ed\, 9 students responded \silver\, and 35 students responded \black\.
a. find the relative frequency value for those students responding
ed\. round your answer to two places past the decimal.
b. consider the creation of a bar graph for the relative frequency of the data.
what variable or quantity would go on the horizontal axis?
a. color
b. relative frequency
c. frequency
what variable or quantity would go on the vertical axis?
a. color
b. relative frequency
c. frequency

Explanation:

Part a

Step1: Calculate total number of students

First, we find the total number of students by adding the number of students who chose each color. So, total students \(= 13 + 9 + 35\).
\(13+9 + 35=57\)

Step2: Calculate relative frequency for red

The formula for relative frequency is \(\text{Relative Frequency}=\frac{\text{Frequency of a category}}{\text{Total number of observations}}\). For the "red" category, the frequency is 13 and the total number of students is 57. So, relative frequency \(=\frac{13}{57}\).
\(\frac{13}{57}\approx0.23\) (rounded to two decimal places)

In a bar graph for relative frequency of car colors, the horizontal axis (x - axis) typically represents the different categories of the variable being studied. Here, the variable is the color of the dream car (red, silver, black), so the variable on the horizontal axis is "Color".

In a bar graph for relative frequency, the vertical axis (y - axis) represents the relative frequency values of each category (color, in this case). So the variable on the vertical axis is "Relative frequency".

Answer:

\(0.23\)

Part b - Horizontal Axis