Question

11: calculate relative frequencies and cumulative frequencies using a frequency - distribution table

1. the following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 am to 9:00 am on a particular day.

vehicle type frequency
motorcycle 11
sedan 60
suv 80
truck 39
what is the relative frequency of the motorcycle category?
a) 0.058
b) 11
c) 0.138
d) 11%

1. the following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 am to 9:00 am on a particular day.

vehicle type frequency
motorcycle 8
sedan 87
suv 88
truck 31
construct a relative frequency distribution for the data.
a)
vehicle type relative frequency
motorcycle 0.037%
sedan 0.407%
suv 0.411%
truck 0.145%
b)
vehicle type relative frequency
motorcycle 0.037
sedan 0.407
suv 0.411
truck 0.145
c)
vehicle type relative frequency
motorcycle 0.091
sedan 0.989
suv 1
truck 0.352
d)
vehicle type relative frequency
motorcycle 0.08
sedan 0.87
suv 0.88
truck 0.31

Explanation:

Step1: Recall relative - frequency formula

The formula for relative frequency is $relative\ frequency=\frac{frequency\ of\ the\ category}{total\ frequency}$.

Step2: Calculate total frequency for 25

For question 25, the total frequency is $11 + 60+80 + 39=190$. The frequency of motorcycles is 11. So the relative frequency of motorcycles is $\frac{11}{190}\approx0.058$.

Step3: Calculate total frequency for 26

For question 26, the total frequency is $8 + 87+88 + 31=214$.

• Relative frequency of motorcycles: $\frac{8}{214}\approx0.037$.
• Relative frequency of sedans: $\frac{87}{214}\approx0.407$.
• Relative frequency of SUVs: $\frac{88}{214}\approx0.411$.
• Relative frequency of trucks: $\frac{31}{214}\approx0.145$.

Answer:

1. A. 0.058
2. B.

Vehicle Type | Relative Frequency
--- | ---
Motorcycle | 0.037
Sedan | 0.407
SUV | 0.411
Truck | 0.145