Question
A survey asked 92 people how they get to work. Below is the resulting data. What is the relative frequency (to two decimal places) of people who use their car?
35 use their car
42 use public transportation
8 use a bicycle
7 people walk
35 use their car
42 use public transportation
8 use a bicycle
7 people walk
Answers
GPT-4o mini
To find the relative frequency of people who use their car, you can use the formula for relative frequency:
\[
\text{Relative Frequency} = \frac{\text{Number of people using a car}}{\text{Total number of people surveyed}}
\]
In this case:
- Number of people using a car = 35
- Total number of people surveyed = 92
Substituting these values into the formula gives:
\[
\text{Relative Frequency} = \frac{35}{92} \approx 0.3804
\]
To express this as a percentage or in decimal form up to two decimal places:
\[
0.3804 \approx 0.38 \quad (\text{to two decimal places})
\]
Thus, the relative frequency of people who use their car is **0.38**.
\[
\text{Relative Frequency} = \frac{\text{Number of people using a car}}{\text{Total number of people surveyed}}
\]
In this case:
- Number of people using a car = 35
- Total number of people surveyed = 92
Substituting these values into the formula gives:
\[
\text{Relative Frequency} = \frac{35}{92} \approx 0.3804
\]
To express this as a percentage or in decimal form up to two decimal places:
\[
0.3804 \approx 0.38 \quad (\text{to two decimal places})
\]
Thus, the relative frequency of people who use their car is **0.38**.