Use the table to answer the question.
Choices Frequency Relative Frequency (%)
dogs 17 ?
cats 19 ?
fish 6 ?
guinea pigs 8 ?
The table shows the favorite pets of first-grade students in a survey conducted this year. According to the table, what percentage of respondents gave the third most popular answer?
(1 point)
The third most popular answer was given by
__% of respondents.
The third most popular answer was given by 28% of respondents.
To find the percentage of respondents who gave the third most popular answer, we need to calculate the relative frequency of that answer.
The relative frequency is calculated by dividing the frequency of a particular answer by the sum of all the frequencies, and then multiplying by 100 to get the percentage.
Let's calculate the relative frequency for the third most popular answer, which is "fish":
Frequency of fish = 6
Sum of all frequencies = 17 + 19 + 6 + 8 = 50
Relative frequency of fish = (6 / 50) * 100
Now, let's calculate this:
(6 / 50) * 100 = 0.12 * 100 = 12%
Therefore, the third most popular answer, "fish," was given by 12% of the respondents.
To find the percentage of respondents who gave the third most popular answer, we need to find the relative frequency for that choice.
Looking at the table, we can see that the relative frequencies are given as a percentage.
Let's determine the relative frequency for each choice.
The relative frequency is calculated by dividing the frequency of each choice by the total number of respondents, and then multiplying by 100.
Given:
Frequency of dogs = 17
Frequency of cats = 19
Frequency of fish = 6
Frequency of guinea pigs = 8
Total frequency = frequency of dogs + frequency of cats + frequency of fish + frequency of guinea pigs
Total frequency = 17 + 19 + 6 + 8
Total frequency = 50
Now, let's calculate the relative frequency for each choice.
Relative frequency of dogs = (frequency of dogs / total frequency) * 100
Relative frequency of dogs = (17 / 50) * 100
Relative frequency of dogs = 34%
Relative frequency of cats = (frequency of cats / total frequency) * 100
Relative frequency of cats = (19 / 50) * 100
Relative frequency of cats = 38%
Relative frequency of fish = (frequency of fish / total frequency) * 100
Relative frequency of fish = (6 / 50) * 100
Relative frequency of fish = 12%
Relative frequency of guinea pigs = (frequency of guinea pigs / total frequency) * 100
Relative frequency of guinea pigs = (8 / 50) * 100
Relative frequency of guinea pigs = 16%
Now we can determine the answer to the question:
The third most popular answer was given by 12% of respondents.