Question

here are the countries of the top 15 men that raced in a marathon. use the data to complete parts (a) through (e) below. u.s. south africa ethiopia japan uganda japan kenya japan u.s. uganda italy uganda japan kenya a. construct a frequency and relative - frequency table of the data. use the category \other\ for ethiopia, italy, south africa, and france. (type integers or decimals rounded to three decimal places as needed.) category frequency relative frequency kenya u.s. japan uganda other

Explanation:

Step1: Count the frequency of each country

Count the number of times each country appears in the data set. The total number of data - points is 15.
Kenya appears 3 times, U.S. appears 2 times, Japan appears 4 times, Uganda appears 3 times.
The number of countries grouped as "Other" (Ethiopia, Italy, South Africa, and France) is \(15-(3 + 2+4 + 3)=3\) times.

Step2: Calculate the relative frequency

The relative frequency of a category is calculated as \(\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total Frequency}}\).
For Kenya: \(\text{Relative Frequency}=\frac{3}{15}=0.200\)
For U.S.: \(\text{Relative Frequency}=\frac{2}{15}\approx0.133\)
For Japan: \(\text{Relative Frequency}=\frac{4}{15}\approx0.267\)
For Uganda: \(\text{Relative Frequency}=\frac{3}{15}=0.200\)
For Other: \(\text{Relative Frequency}=\frac{3}{15}=0.200\)

Answer:

Category	Frequency	Relative Frequency
U.S.	2	0.133
Japan	4	0.267
Uganda	3	0.200
Other	3	0.200