Use the table to answer the 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?
The bars on the percent bar graph would show the distribution of the foreign languages studied by Hiroko's friends in terms of percentage relative to the total number of friends surveyed (25 friends).
To find the percentages to plot on the bar graph, we can calculate the relative frequencies for each language and convert them to percentages by multiplying by 100.
For German:
Relative frequency = 3/25 = 0.12
Percentage = 0.12 * 100% = 12%
For Mandarin:
Relative frequency = 5/25 = 0.20
Percentage = 0.20 * 100% = 20%
For Spanish:
Relative frequency = 17/25 = 0.68
Percentage = 0.68 * 100% = 68%
Therefore, the bars on the percent bar graph would show that 12% of Hiroko's friends study German, 20% study Mandarin, and 68% study Spanish.