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Data Analysis, Statistics, and Probability

SAT Data - Tables

         

\[\text{FAVORITE SUBJECT}\] \[\begin{array}{|c|c|c|c|c|} \hline & \text{Freshmen} & \text{Sophomores} & \text{Total}\\ \hline \text{English} & & 55 & 78\\ \hline \text{Math} & & & \\ \hline \text{Total} & 98 & 101 & \\ \hline \end{array}\]

The partially filled chart above contains the results of a survey among J. Adams High School freshmen and sophomores. Based on the information in the table, what fraction of all students listed English as their favorite subject?

(A) \(\ \ \frac{23}{78}\)

(B) \(\ \ \frac{78}{199}\)

(C) \(\ \ \frac{55}{78}\)

(D) \(\ \ 1\)

(E) \(\ \ 78\)

\[\begin{array}{|c|c|c|} \hline \text{Plant} & \text{Number of Seeds}\\ \hline A & 55\\ \hline B & 27\\ \hline C & 72\\ \hline D & 47\\ \hline E & x\\ \hline F & 60\\ \hline G & 34\\ \hline \end{array}\]

The table above shows the number of seeds for 7 plants. If the median number of seeds is \(55,\) the number of seeds for plant \(E\) could be any of the following EXCEPT

(A) \(\ \ 52\)
(B) \(\ \ 55\)
(C) \(\ \ 62\)
(D) \(\ \ 67\)
(E) \(\ \ 72\)

\[\begin{array}{|c|c|c|c|} \hline \text{City} & \text{Public} & \text{Private}\\ \hline A & 23 & 23\\ \hline B & 25 & 27\\ \hline C & 20 & 19\\ \hline D & 3 & 1\\ \hline E & 14 & 7\\ \hline \end{array}\]

The table above shows the number of public and private schools for five cities. For which of the five cities is the ratio of public to private schools the smallest?

(A) \(\ \ \)A
(B) \(\ \ \)B
(C) \(\ \ \)C
(D) \(\ \ \)D
(E) \(\ \ \)E

\[\text{FAVORITE SUBJECT}\] \[\begin{array}{|c|c|c|c|c|} \hline & \text{Freshmen} & \text{Sophomores} & \text{Total}\\ \hline \text{English} & & 55 & 80\\ \hline \text{Math} & & & \\ \hline \text{Total} & 100 & 102 & \\ \hline \end{array}\]

The partially filled chart above contains the results of a survey among J. Adams High School freshmen and sophomores. Based on the information in the table, how many freshmen listed Math as their favorite subject?

(A) \(\ \ 25\)
(B) \(\ \ 47\)
(C) \(\ \ 75\)
(D) \(\ \ 100\)
(E) \(\ \ 122\)

\[\begin{array}{|c|c|c|c|} \hline \text{City} & \text{Public} & \text{Private}\\ \hline A & 23 & 23\\ \hline B & 25 & 29\\ \hline C & 22 & 21\\ \hline D & 5 & 1\\ \hline E & 12 & 6\\ \hline \end{array}\]

The table above shows the number of public and private schools for five cities. If there are \(x\) public schools in the five cities and \(y\) private schools, what is \(x-y?\)

(A) \(\ \ 0\)
(B) \(\ \ 2\)
(C) \(\ \ 7\)
(D) \(\ \ 87\)
(E) \(\ \ 167\)

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