Question

the table shows the movement of a stock for 30 randomly selected trading days. \up\ means the stock price increased in value for the day, \down\ means the stock price decreased in value for the day, and
o change\ means the stock price closed at the same price it closed for the previous day. complete parts (a) through (e) below.
click the icon to view the table of data.
(a) construct a frequency distribution.

movement	frequency
no change	2
up	16

(b) construct a relative frequency distribution.

movement	relative frequency
no change
up

(round to three decimal places as needed.)
click here to view the table of data.
(the table of data is shown as: up, up, down, up, down, down; down, up, up, up, down, up; up, down, down, up, up, down; down, down, up, down, up, no change; no change, up, down, up, up, up)

Explanation:

Step1: Count total days

Total days = 30 (given)

Step2: Count "Down" frequency

Count all "Down" entries: 12 (matches given)

Step3: Count "No change" frequency

Count all "No change" entries: 2 (matches given)

Step4: Count "Up" frequency

Count all "Up" entries: 16 (matches given)

Step5: Calculate relative frequency for Down

Relative frequency = $\frac{\text{Frequency of Down}}{\text{Total Days}}$
$\frac{12}{30} = 0.400$

Step6: Calculate relative frequency for No change

Relative frequency = $\frac{\text{Frequency of No change}}{\text{Total Days}}$
$\frac{2}{30} \approx 0.067$

Step7: Calculate relative frequency for Up

Relative frequency = $\frac{\text{Frequency of Up}}{\text{Total Days}}$
$\frac{16}{30} \approx 0.533$

Answer:

(a) Frequency Distribution:

Movement	Frequency
No change	2
Up	16

(b) Relative Frequency Distribution:

Movement	Relative Frequency
No change	0.067
Up	0.533