Question

a stock broker compiled data about 25 popular stocks. he made this frequency table to show how their changes in 2010 compared to their changes in 2009. complete a relative frequency table to show the distribution of the data with respect to all 25 stocks. complete the table. total relative frequency table change in 2009 change in 2010 positive change negative change total positive change % % % negative change % % % total % % 100% (type decimals or decimals) frequency table change in 2009 change in 2010 positive change negative change total positive change 4 5 9 negative change 7 9 16 total 11 14 25

Explanation:

Step1: Calculate Positive Change - Positive Change relative frequency

Relative frequency = (Frequency) / (Total number of stocks)
For Positive Change - Positive Change: Frequency = 4, Total = 25
Relative frequency = \( \frac{4}{25} = 0.16 = 16\% \)

Step2: Calculate Positive Change - Negative Change relative frequency

Frequency = 5, Total = 25
Relative frequency = \( \frac{5}{25} = 0.2 = 20\% \)

Step3: Calculate Positive Change - Total relative frequency

Frequency = 9, Total = 25
Relative frequency = \( \frac{9}{25} = 0.36 = 36\% \)

Step4: Calculate Negative Change - Positive Change relative frequency

Frequency = 7, Total = 25
Relative frequency = \( \frac{7}{25} = 0.28 = 28\% \)

Step5: Calculate Negative Change - Negative Change relative frequency

Frequency = 9, Total = 25
Relative frequency = \( \frac{9}{25} = 0.36 = 36\% \)

Step6: Calculate Negative Change - Total relative frequency

Frequency = 16, Total = 25
Relative frequency = \( \frac{16}{25} = 0.64 = 64\% \)

Step7: Calculate Total - Positive Change relative frequency

Frequency = 11, Total = 25
Relative frequency = \( \frac{11}{25} = 0.44 = 44\% \)

Step8: Calculate Total - Negative Change relative frequency

Frequency = 14, Total = 25
Relative frequency = \( \frac{14}{25} = 0.56 = 56\% \)

Step9: Total - Total is already 100%

Answer:

Change in 2009 \ Change in 2010	Positive Change	Negative Change	Total
Negative Change	28%	36%	64%
Total	44%	56%	100%