During her lunch hour, Shawna asked 40 students how many after-school clubs they joined. The list below shows the number of clubs that the students joined. 2, 2, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0, 1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 0, 3, 2, 0, 1

63

Step-by-step explanation:

Total number of students=360

number of students Shawna asked=40

which is equal to 1/9 of the total population.

The number of clubs that the students joined are:

2, 2, 3, 0, 3, 2, 4, 2, 1, 4, 3, 2, 4, 1, 0, 2, 1, 3, 2, 0,  1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 3, 2, 0, 3, 2, 0, 1

Hence, number of students who joined 3 clubs out of 40=7

We are given that this sample is representative of the student population of 360 students.

Hence, total number of students who joined 3 clubs= 7×9

                                                                                   =63

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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