MATH SOLVE

2 months ago

Q:
# The following table shows the data collected from 2 random samples of 100 students each from an after-school club regarding their favorite outdoor activity: Sample Canoeing Bike Racing Reading Total 1 40 35 25 100 2 45 40 15 100 Which of the following observations can be made about the number of students in the club who prefer canoeing? It is more than the number of students who prefer bike racing and reading combined. It is less than the number of students who prefer bike racing and reading combined. It is equal to the number of students who prefer reading. It is less than the number of students who prefer bike racing.

Accepted Solution

A:

Answer:The correct option is: It is less than the number of students who prefer bike racing and reading combined. Step-by-step explanation:We are given a table that shows the data of two samples regarding the favorite outdoor activity of 100 students as: Sample Canoeing Bike Racing Reading Total 1 40 35 25 100 2 45 40 15 100 1) It is more than the number of students who prefer bike racing and reading combined.From sample 1 the combined number of students who love bike racing and reading is: 35+25=60From sample 2 the combined number of students who love bike racing and reading is: 40+15=55Hence, in both the samples the number of people who love bike racing and reading combined are more than those who prefer canoeing.Hence, option (1) is incorrect.2) It is less than the number of students who prefer bike racing and reading combined. As done in option (1) we get option (2) is correct.3) It is equal to the number of students who prefer reading. This option is incorrect.Since, Canoeing ReadingSample 1: 40 25 Sample 2: 45 154) It is less than the number of students who prefer bike racing.This option is also incorrect.Since, Canoeing Bike racingSample 1: 40 35Sample 2: 45 40