Back-to-Back Stem-and-Leaf Diagram and Test Score Analysis

Back-to-Back Stem-and-Leaf Diagram and Test Score Analysis

TGM Original

The results scored by students from two classes in a test are shown below.

Class P

\(58\)

\(63\)

\(75\)

\(67\)

\(54\)

\(66\)

\(69\)

\(64\)

\(81\)

\(83\)

\(68\)

\(77\)

\(78\)

\(61\)

\(75\)

\(68\)

\(73\)

\(82\)

\(53\)

\(85\)

Class Q

\(50\)

\(51\)

\(62\)

\(59\)

\(65\)

\(54\)

\(52\)

\(60\)

\(70\)

\(75\)

\(80\)

\(75\)

\(57\)

\(61\)

\(69\)

\(57\)

\(61\)

\(87\)

\(76\)

\(73\)

  1. Represent these two sets of data by a back-to-back stem-and-leaf diagram.
  2. Which class has the highest score?
  3. Which class has the lowest score?
  4. Which class performed better in the test? Explain your answer.

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Answer:(ii) Class Q: \(87\) (iii) Class Q: \(50\) (iv) Class P

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