Question

Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:


Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1


Based on the data, which statement is most likely correct?
In Grade 8, 17 students liked swimming.
In Grade 9, 27% of students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18% of students liked running.

Answer 1

Answer:

In Grade 9, 18% of students liked running.

Step-by-step explanation:

Relative frequency is defined as the quotient between the absolute frequency and the total number of students.

In other words, the relative frequency is aimed to show the percentage representation of a data compared to the whole.

For example, according to the given table, in Grade 8, 17% of students liked swimming, it would be wrong to say that 17 students liked swimming, because relative frequency shows the percentage representation, that's it.

Having said that, the right answer is the last choice: In Grade 9, 18% of students liked running, because it's using properly the relative frequency.

Answer 2

In this exercise we have to use the knowledge of statistics to be able to classify the statement that is correct, in this way we can say that:

In Grade 9, 18% of students liked running.

From the information given in the statement we can say that:

• Relative commonness exist outline as the quotient middle from two points the full repetitiveness and the total number of person actively learning.

So being the first alternative:

A)In Grade 8, 17 students liked swimming, is not true because is 17% liked to swimming.

B) In Grade 9, 27% of students liked volleyball, that not true because is 22% liked volleyball.

C) In Grade 9, 14 students liked running, that not true because is 18% that liked running.

See more about statistics at brainly.com/question/10951564