Statistics › Charts, tables and regression

Pie charts and survey percentages

Solve the first problem 16 problems

Pie graph angle for cherry pie ●○○○○ 10 ptsOf the 36 students in Richelle's class, 12 prefer chocolate pie, 8 prefer apple pie, and 6 prefer blueberry pie. Half of the remaining students prefer cherry pie and half prefer lemon pie. In Richelle's pie graph showing this data, how many degrees should she use for cherry pie?
Male listeners in a radio survey ●○○○○ 10 ptsA radio station, KAMC, surveyed listeners. The results are in a two-way table with columns Listen, Don't Listen and Total, and rows Male, Female and Total. The known entries are: - Listen column: Total $136$ , Female $58$ - Don't Listen column: Male $26$ , Total $64$ - Total column: Female $96$ , Total $200$ The other entries are unknown. What percentage of the males surveyed listen to the station?
Central angle of a male 45-54 sector ●○○○○ 10 ptsTim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the following information. - 53 male physicians are under 35 years of age. - 8 female physicians are under 35 years of age. - 155 male physicians are between 35 and 44 years of age. - 17 female physicians are between 35 and 44 years of age. - 145 male physicians are between 45 and 54 years of age. - 10 female physicians are between 45 and 54 years of age. - 98 male physicians are over 54 years of age. - 2 female physicians are over 54 years of age. He wants to include each of the eight groups in his graph. How many degrees would he use for the central angle of the "45-54 year-old males" sector? Express your answer to the nearest whole number.
Smallest survey size with given percentages ●●○○○ 20 ptsA total of $n$ people were asked a question in a survey. Exactly $76\%$ of the $n$ people responded "yes" and exactly $24\%$ of the $n$ people responded "no". What is the smallest possible value of $n$ ?
High-sulfur oil samples in a container ●●○○○ 20 ptsA container designed for 300 oil samples is almost completely full. Each sample is either low-sulfur or high-sulfur, and either light or heavy. The relative frequency of heavy oil samples is $\frac{1}{8}$ , and the relative frequency of light low-sulfur oil samples is $\frac{22}{37}$ . Assume the total number of samples is the largest number not exceeding 300 that is consistent with these frequencies. Assume there are no low-sulfur samples among the heavy samples. How many high-sulfur oil samples are in the container?
Expected subscription rate after a letter ●●○○○ 20 ptsA magazine mailing list contains people who already subscribe and people who do not. 60% of current subscribers will subscribe again, and 25% of non-subscribers will now subscribe. In the last letter, 40% of those receiving it ordered a subscription. What percent of those receiving the current letter can be expected to order a subscription?
Minimum respondents on the twelfth day ●●●○○ 50 ptsDuring the first eleven days, 700 people responded to a survey question. Each person chose exactly one of three options, and the ratio of the numbers of responses was $4:7:14$ . On the twelfth day, several more people responded, so that the number of responses for each option did not decrease and the ratio became $6:9:16$ . What is the minimum number of people who must have responded on the twelfth day?

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