Question

a sample of high school graduates was asked to identify a person who had been of most help to them in setting and reaching goals. the circle graph below shows the results. who helps you most others 24 counselors 44 family 110 friends 60 teachers 70 if another 100 graduates take the survey, how many fewer will likely choose counselors than teachers? a. 8 b. 15 c. 23 d. 26

Explanation:

Step1: Calculate total number in sample

$24 + 44+60 + 70+110=308$

Step2: Calculate proportion of counselors

$\frac{44}{308}$

Step3: Calculate expected number of counselors in new sample

$100\times\frac{44}{308}\approx14.29$

Step4: Calculate proportion of teachers

$\frac{70}{308}$

Step5: Calculate expected number of teachers in new sample

$100\times\frac{70}{308}\approx22.73$

Step6: Calculate difference

$22.73 - 14.29 = 8.44\approx8$

Answer:

A. 8