Question

1: 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
sedan	60
suv	80
truck	39

what is the relative frequency of the motorcycle category?
a) 0.058 b) 11% c) 0.138 d) 0.08

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
sedan	87
suv	88
truck	31

construct a relative - frequency distribution for the data.
a)

vehicle type	relative frequency
sedan	0.407%
suv	0.411%
truck	0.145%

b)

vehicle type	relative frequency
sedan	0.407
suv	0.411
truck	0.145

c)

vehicle type	relative frequency
sedan	0.989
suv	0.352
truck	0.31

d)

vehicle type	relative frequency
sedan	0.87
suv	0.88
truck	0.31

Explanation:

Step1: Find total frequency for 25

Add up all frequencies: $11 + 60+80 + 39=190$.

Step2: Calculate relative - frequency for motorcycle in 25

Relative frequency of motorcycle = $\frac{\text{Frequency of motorcycle}}{\text{Total frequency}}=\frac{11}{190}\approx0.058$.

Step3: Find total frequency for 26

Add up all frequencies: $8 + 87+88 + 31=214$.

Step4: Calculate relative - frequency for each vehicle type in 26

• Motorcycle: $\frac{8}{214}\approx0.037$.
• Sedan: $\frac{87}{214}\approx0.407$.
• SUV: $\frac{88}{214}\approx0.411$.
• Truck: $\frac{31}{214}\approx0.145$.

Answer:

1. None of the given options are correct (the correct value is approximately $0.058$).
2. B.

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