Question

the results of the last 45 digital single lens reflex (dslr) cameras sold on a popular internet auction site are listed here: canon, sony, canon, nikon, fujifilm, nikon, canon, sony, canon; canon, nikon, canon, nikon, canon, canon, canon, nikon, fujifilm; canon, nikon, nikon, canon, canon, canon, canon, olympus, canon; canon, canon, nikon, olympus, sony, canon, canon, sony, canon; nikon, sony, canon, fujifilm, nikon, canon, nikon, canon, sony
summarize the distribution of camera brands by completing this frequency table and relative frequency table:
frequency table

camera brand	frequency
sony	blank
nikon	blank
fujifilm	blank
olympus	blank
total	45

relative frequency table

camera brand	relative frequency
sony	blank
nikon	blank
fujifilm	blank
olympus	blank
total	blank

Explanation:

Step1: Count Canon's frequency

Go through each entry and count how many times "Canon" appears. Let's list the entries:
Row 1: Canon, Sony, Canon, Nikon, Fujifilm, Nikon, Canon, Sony, Canon (5 times)
Row 2: Canon, Nikon, Canon, Nikon, Canon, Canon, Canon, Nikon, Fujifilm (7 times)
Row 3: Canon, Nikon, Nikon, Canon, Canon, Canon, Canon, Olympus, Canon (8 times)
Row 4: Canon, Canon, Nikon, Olympus, Sony, Canon, Canon, Sony, Canon (7 times)
Row 5: Nikon, Sony, Canon, Fujifilm, Nikon, Canon, Nikon, Canon, Sony (4 times)
Total Canon: 5 + 7 + 8 + 7 + 4 = 31? Wait, no, let's count again carefully. Let's list all 45 entries (5 rows, 9 columns each):

Row 1: Canon, Sony, Canon, Nikon, Fujifilm, Nikon, Canon, Sony, Canon → 5 Canons (positions 1,3,7,9? Wait no, 1:Canon, 3:Canon, 7:Canon, 9:Canon? Wait no, 1,3,7,9? Wait 1:Canon, 2:Sony, 3:Canon, 4:Nikon, 5:Fujifilm, 6:Nikon, 7:Canon, 8:Sony, 9:Canon → that's 1,3,7,9 → 4? Wait I messed up. Let's count each row properly:

Row 1 (9 entries):

1. Canon
2. Sony
3. Canon
4. Nikon
5. Fujifilm
6. Nikon
7. Canon
8. Sony
9. Canon

Canon count: 1,3,7,9 → 4? Wait no, 1,3,7,9: that's 4? Wait 1 (Canon), 3 (Canon), 7 (Canon), 9 (Canon) → 4? Wait 1,3,7,9: 4 times.

Row 2:

1. Canon
2. Nikon
3. Canon
4. Nikon
5. Canon
6. Canon
7. Canon
8. Nikon
9. Fujifilm

Canon count: 1,3,5,6,7 → 5 times.

Row 3:

1. Canon
2. Nikon
3. Nikon
4. Canon
5. Canon
6. Canon
7. Canon
8. Olympus
9. Canon

Canon count: 1,4,5,6,7,9 → 6 times.

Row 4:

1. Canon
2. Canon
3. Nikon
4. Olympus
5. Sony
6. Canon
7. Canon
8. Sony
9. Canon

Canon count: 1,2,6,7,9 → 5 times.

Row 5:

1. Nikon
2. Sony
3. Canon
4. Fujifilm
5. Nikon
6. Canon
7. Nikon
8. Canon
9. Sony

Canon count: 3,6,8 → 3 times.

Wait now total Canon: 4 (row1) +5 (row2)+6 (row3)+5 (row4)+3 (row5) = 23? Wait this is confusing. Maybe a better way: list all brands:

Brands present: Canon, Sony, Nikon, Fujifilm, Olympus.

Let's count each:

Canon: Let's go through each of the 45 entries:

Row 1: C, S, C, N, F, N, C, S, C → C: 1,3,7,9 → 4
Row 2: C, N, C, N, C, C, C, N, F → C: 1,3,5,6,7 → 5
Row 3: C, N, N, C, C, C, C, O, C → C: 1,4,5,6,7,9 → 6
Row 4: C, C, N, O, S, C, C, S, C → C: 1,2,6,7,9 → 5
Row 5: N, S, C, F, N, C, N, C, S → C: 3,6,8 → 3
Total Canon: 4+5=9, +6=15, +5=20, +3=23.

Sony:
Row1: S (2,8) → 2
Row2: none
Row3: none
Row4: S (5,8) → 2
Row5: S (2,9) → 2
Total Sony: 2+2+2=6.

Nikon:
Row1: N (4,6) → 2
Row2: N (2,4,8) → 3
Row3: N (2,3) → 2
Row4: N (3) → 1
Row5: N (1,5,7) → 3
Total Nikon: 2+3=5, +2=7, +1=8, +3=11.

Fujifilm:
Row1: F (5) →1
Row2: F (9) →1
Row3: none
Row4: none
Row5: F (4) →1
Total Fujifilm: 1+1+1=3.

Olympus:
Row3: O (8) →1
Row4: O (4) →1
Total Olympus: 1+1=2.

Let's check total: 23 (Canon) +6 (Sony)+11 (Nikon)+3 (Fujifilm)+2 (Olympus) = 23+6=29, +11=40, +3=43, +2=45. Correct.

So Frequency Table:

Canon: 23

Sony: 6

Nikon: 11

Fujifilm: 3

Olympus: 2

Total: 45.

Relative Frequency = Frequency / Total (45)

Canon: 23/45 ≈ 0.511

Sony: 6/45 ≈ 0.133

Nikon: 11/45 ≈ 0.244

Fujifilm: 3/45 = 0.067

Olympus: 2/45 ≈ 0.044

Total Relative Frequency: 1 (since 23+6+11+3+2=45, 45/45=1)

Step2: Fill Frequency Table

Canon: 23

Sony: 6

Nikon: 11

Fujifilm: 3

Olympus: 2

Step3: Fill Relative Frequency Table

Canon: 23/45 ≈ 0.511

Sony: 6/45 ≈ 0.133

Nikon: 11/45 ≈ 0.244

Fujifilm: 3/45 = 0.067

Olympus: 2/45 ≈ 0.044

Total: 1

Answer:

Frequency Table:

Camera Brand	Frequency
Sony	6
Nikon	11
Fujifilm	3
Olympus	2
Total	45

Relative Frequency Table:

Camera Brand	Relative Frequency
Sony	$\frac{6}{45} \approx 0.133$
Nikon	$\frac{11}{45} \approx 0.244$
Fujifilm	$\frac{3}{45} = 0.067$
Olympus	$\frac{2}{45} \approx 0.044$
Total	1