Question

1. mrs. owens’s 2nd period surveyed their students about their favorite color. how many students were surveyed total: 50 fill in the table: | color | number of students | fraction of students | percent of students | |-------|---------------------|----------------------|----------------------| | red | 3 | | | | blue | 4 | | | | green | 5 | | | | orange | 6 | | | | pink | 7 | | | | purple | 8 | | | | yellow | 17 | | |

Explanation:

To solve for the fraction and percent of students for each color, we first confirm the total number of students is 50 (as given: \( 3 + 4 + 5 + 6 + 7 + 8 + 17 = 50 \)).

Red

Step 1: Fraction

Fraction = \( \frac{\text{Number of Red Students}}{\text{Total Students}} = \frac{3}{50} \)

Step 2: Percent

Percent = \( \frac{3}{50} \times 100 = 6\% \)

Blue

Step 1: Fraction

Fraction = \( \frac{4}{50} = \frac{2}{25} \)

Step 2: Percent

Percent = \( \frac{4}{50} \times 100 = 8\% \)

Green

Step 1: Fraction

Fraction = \( \frac{5}{50} = \frac{1}{10} \)

Step 2: Percent

Percent = \( \frac{5}{50} \times 100 = 10\% \)

Orange

Step 1: Fraction

Fraction = \( \frac{6}{50} = \frac{3}{25} \)

Step 2: Percent

Percent = \( \frac{6}{50} \times 100 = 12\% \)

Pink

Step 1: Fraction

Fraction = \( \frac{7}{50} \)

Step 2: Percent

Percent = \( \frac{7}{50} \times 100 = 14\% \)

Purple

Step 1: Fraction

Fraction = \( \frac{8}{50} = \frac{4}{25} \)

Step 2: Percent

Percent = \( \frac{8}{50} \times 100 = 16\% \)

Yellow

Step 1: Fraction

Fraction = \( \frac{17}{50} \)

Step 2: Percent

Percent = \( \frac{17}{50} \times 100 = 34\% \)

Filled Table:

Color	Number of Students	Fraction of Students	Percent of Students
Blue	4	\( \frac{2}{25} \)	8%
Green	5	\( \frac{1}{10} \)	10%
Orange	6	\( \frac{3}{25} \)	12%
Pink	7	\( \frac{7}{50} \)	14%
Purple	8	\( \frac{4}{25} \)	16%
Yellow	17	\( \frac{17}{50} \)	34%

(Note: Verify the number of students for Orange—if the bar graph or original data shows 6, this is correct. The total \( 3 + 4 + 5 + 6 + 7 + 8 + 17 = 50 \), so the total is consistent.)

Answer:

To solve for the fraction and percent of students for each color, we first confirm the total number of students is 50 (as given: \( 3 + 4 + 5 + 6 + 7 + 8 + 17 = 50 \)).

Red

Step 1: Fraction

Fraction = \( \frac{\text{Number of Red Students}}{\text{Total Students}} = \frac{3}{50} \)

Step 2: Percent

Percent = \( \frac{3}{50} \times 100 = 6\% \)

Blue

Step 1: Fraction

Fraction = \( \frac{4}{50} = \frac{2}{25} \)

Step 2: Percent

Percent = \( \frac{4}{50} \times 100 = 8\% \)

Green

Step 1: Fraction

Fraction = \( \frac{5}{50} = \frac{1}{10} \)

Step 2: Percent

Percent = \( \frac{5}{50} \times 100 = 10\% \)

Orange

Step 1: Fraction

Fraction = \( \frac{6}{50} = \frac{3}{25} \)

Step 2: Percent

Percent = \( \frac{6}{50} \times 100 = 12\% \)

Pink

Step 1: Fraction

Fraction = \( \frac{7}{50} \)

Step 2: Percent

Percent = \( \frac{7}{50} \times 100 = 14\% \)

Purple

Step 1: Fraction

Fraction = \( \frac{8}{50} = \frac{4}{25} \)

Step 2: Percent

Percent = \( \frac{8}{50} \times 100 = 16\% \)

Yellow

Step 1: Fraction

Fraction = \( \frac{17}{50} \)

Step 2: Percent

Percent = \( \frac{17}{50} \times 100 = 34\% \)

Filled Table:

Color	Number of Students	Fraction of Students	Percent of Students
Blue	4	\( \frac{2}{25} \)	8%
Green	5	\( \frac{1}{10} \)	10%
Orange	6	\( \frac{3}{25} \)	12%
Pink	7	\( \frac{7}{50} \)	14%
Purple	8	\( \frac{4}{25} \)	16%
Yellow	17	\( \frac{17}{50} \)	34%

(Note: Verify the number of students for Orange—if the bar graph or original data shows 6, this is correct. The total \( 3 + 4 + 5 + 6 + 7 + 8 + 17 = 50 \), so the total is consistent.)