ANSWER
Option B
EXPLANATION
We are given the information regarding favorite colors of 22 students.
=> 6 students chose red.
=> 2 students chose yellow.
=> 5 more students chose blue than yellow.
Let the number of students that chose blue be b. This means that:
b = yellow + 5
b = 2 + 5
b = 7 students
7 students chose blue.
=> 3 fewer students chose purple than red.
Let the number of people that chose purple be p. This means that:
p = red - 3
p = 6 - 3
p = 3 students
3 students chose purple.
=> The rest of students chose green.
To find the number of students that chose green, add up the number of students that chose the other colors and subtract from the total number of students.
That is:
22 - (6 + 2 + 7 + 3)
22 - 18
= 4 students
4 students chose green.
Therefore, the correct frequencey table is option B.
