Question

suppose a survey was conducted in which participants were asked to disclose their favorite night for a particular activity. the results are summarized in the table. complete parts (a) through (f) below.
click the icon to view the table of data.
(a) construct a frequency distribution
day frequency
sunday 4
monday 3
tuesday 5
wednesday 6
thursday 2
friday 13
saturday 7
(b) construct a relative frequency distributio
day relative frequency
sunday
monday
tuesday
wednesday
thursday
friday
saturday
(round to three decimal places as need
click here to view the table of data.
wednesday sunday friday thursday friday
wednesday friday friday friday tuesday
tuesday friday thursday saturday monday
friday friday wednesday sunday saturday
tuesday saturday monday wednesday friday
sunday friday saturday saturday monday
saturday wednesday saturday friday sunday
tuesday wednesday tuesday friday friday

Explanation:

Step1: Verify total survey participants

First, sum all frequencies from part (a):
$4 + 3 + 5 + 6 + 2 + 13 + 7 = 40$

Step2: Calculate relative frequency (Sunday)

Divide Sunday's frequency by total:
$\text{Relative Frequency (Sunday)} = \frac{4}{40} = 0.100$

Step3: Calculate relative frequency (Monday)

Divide Monday's frequency by total:
$\text{Relative Frequency (Monday)} = \frac{3}{40} = 0.075$

Step4: Calculate relative frequency (Tuesday)

Divide Tuesday's frequency by total:
$\text{Relative Frequency (Tuesday)} = \frac{5}{40} = 0.125$

Step5: Calculate relative frequency (Wednesday)

Divide Wednesday's frequency by total:
$\text{Relative Frequency (Wednesday)} = \frac{6}{40} = 0.150$

Step6: Calculate relative frequency (Thursday)

Divide Thursday's frequency by total:
$\text{Relative Frequency (Thursday)} = \frac{2}{40} = 0.050$

Step7: Calculate relative frequency (Friday)

Divide Friday's frequency by total:
$\text{Relative Frequency (Friday)} = \frac{13}{40} = 0.325$

Step8: Calculate relative frequency (Saturday)

Divide Saturday's frequency by total:
$\text{Relative Frequency (Saturday)} = \frac{7}{40} = 0.175$

Answer:

Day	Relative Frequency
Monday	0.075
Tuesday	0.125
Wednesday	0.150
Thursday	0.050
Friday	0.325
Saturday	0.175