Question

ssor records the following final grades in one course. construct a tcy table for the grades a a a a b d b b b b c c c c c c c c c d d d d f complete the table (type an integer or decimal rounded to the nearest tenth as needed ) grade frequency relative frequency cumulative frequency a 5 21 7% 5

Explanation:

Step1: Count the total number of grades

Count all the grades: \(5 + 6+7 + 5+1=24\)

Step2: Calculate frequency for grade B

Count the number of B's. There are 6 B's. So frequency of B is 6.

Step3: Calculate relative frequency for grade B

Relative frequency \(=\frac{\text{Frequency}}{\text{Total number}}\times100\). For B: \(\frac{6}{24}\times 100 = 25\%\)

Step4: Calculate cumulative frequency for B

Cumulative frequency for B is \(5 + 6=11\)

Step5: Calculate frequency for grade C

Count the number of C's. There are 7 C's. So frequency of C is 7.

Step6: Calculate relative frequency for grade C

Relative frequency \(=\frac{7}{24}\times100\approx29.2\%\)

Step7: Calculate cumulative frequency for C

Cumulative frequency for C is \(5 + 6+7 = 18\)

Step8: Calculate frequency for grade D

Count the number of D's. There are 5 D's. So frequency of D is 5.

Step9: Calculate relative frequency for grade D

Relative frequency \(=\frac{5}{24}\times100\approx20.8\%\)

Step10: Calculate cumulative frequency for D

Cumulative frequency for D is \(5 + 6+7 + 5=23\)

Step11: Calculate frequency for grade F

Count the number of F's. There is 1 F. So frequency of F is 1.

Step12: Calculate relative frequency for grade F

Relative frequency \(=\frac{1}{24}\times100\approx4.2\%\)

Step13: Calculate cumulative frequency for F

Cumulative frequency for F is \(5 + 6+7 + 5+1=24\)

Answer:

Grade	Frequency	Relative frequency	Cumulative frequency
B	6	25.0%	11
C	7	29.2%	18
D	5	20.8%	23
F	1	4.2%	24