Question

Data collected on school subject preferences are summarized below. 18 males prefer science 30 males prefer history 13 males prefer English 19 males prefer math 22 females prefer science 13 females prefer history 18 females prefer English 17 females prefer math Which two-way frequency table accurately represents these data? A. Science History English Math Total Male 18 13 22 18 71 Female 30 19 13 17 79 Total 48 32 35 35 150 B. Science History English Math Total Male 18 30 13 19 80 Female 22 13 18 17 70 Total 40 43 31 36 150 C. Science History English Math Total Male 18 30 19 13 80 Female 22 13 17 18 70 Total 40 43 36 31 150 D. Science History English Math Total Male 22 13 18 17 70 Female 18 30 13 19 80 Total 40 43 31 36 150

Answer 1

To find the accurate two-way frequency table representing the data on school subject preferences, let's first summarize the given data:

- For Males:
- Science: 18
- History: 30
- English: 13
- Math: 19

Total for Males = 18 + 30 + 13 + 19 = 80

- For Females:
- Science: 22
- History: 13
- English: 18
- Math: 17

Total for Females = 22 + 13 + 18 + 17 = 70

Combining both:
Total = 80 (Males) + 70 (Females) = 150

Now let's check the options provided and see which matches these totals.

**Option A:**
```
Science History English Math Total
Male 18 30 22 18 71
Female 30 19 13 17 79
Total 48 32 35 35 150
```
Sum for males does not match. (It should be 80, but shows 71)

**Option B:**
```
Science History English Math Total
Male 18 30 13 19 80
Female 22 13 18 17 70
Total 40 43 31 36 150
```
Males = 80, Females = 70, Total = 150. This one looks good, but let's check rows' totals.

Total in rows:
- Science: 18 + 22 = 40
- History: 30 + 13 = 43
- English: 13 + 18 = 31
- Math: 19 + 17 = 36

This appears correct.

**Option C:**
```
Science History English Math Total
Male 18 30 19 13 80
Female 22 13 17 18 70
Total 40 43 36 31 150
```
Males total is 80, Females total is 70, but:
- English: 19 + 17 = 36 (this is fine) but
- Math: 13 + 18 = 31 (this is incorrect based on given data)

**Option D:**
```
Science History English Math Total
Male 22 13 18 17 70
Female 18 30 13 19 80
Total 40 43 31 36 150
```
Here, male total does not add up correctly (it should be 80, shows 70)

After analyzing all options, the only table that accurately represents the data provided is **Option B**.

Thus, the answer is: **B.**