Use the table to answer the question.

Question

Language Frequency Relative Frequency
German 3 325=
?%
Mandarin 5 525=
?%
Spanish 17 1725=
?%
Hiroko asks 25 friends to identify the foreign language they study. She makes the relative frequency table to show the results. Hiroko also makes a percent bar graph to describe the distribution of her dataset. What do the bars show?

(2 points)
German bar =

%, Mandarin bar =

%, and Spanish bar =

%.

Answer 1

To calculate the relative frequencies in percentages for each language based on the data provided, we need to determine the total frequency and divide the frequency of each language by the total, then multiply by 100.

From the table, the frequencies for each language are:

• German: 3
• Mandarin: 5
• Spanish: 17

First, let's calculate the total frequency:

Total Frequency = German + Mandarin + Spanish Total Frequency = 3 + 5 + 17 = 25

Now we can calculate the relative frequency for each language, then convert it into a percentage:

1. German: \[ \text{Relative Frequency} = \frac{3}{25} \times 100 = 12% \]

2. Mandarin: \[ \text{Relative Frequency} = \frac{5}{25} \times 100 = 20% \]

3. Spanish: \[ \text{Relative Frequency} = \frac{17}{25} \times 100 = 68% \]

Now we can fill in the answers for the percent bars:

• German bar = 12%
• Mandarin bar = 20%
• Spanish bar = 68%

So the bars in Hiroko's percent bar graph will show:

• German bar = 12%
• Mandarin bar = 20%
• Spanish bar = 68%