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question 14 of 25 the stemplot below shows the heights (in inches) of s…

Question

question 14 of 25
the stemplot below shows the heights (in inches) of students in a class.
which of the following is a height of a student in the class?
a. 57 inches
b. 29 inches
c. 50 inches
d. 72 inches

Explanation:

Step1: Understand the stem - and - leaf plot

In a stem - and - leaf plot, the stem represents the tens digit and the leaf represents the units digit. For example, if the stem is \(5\) and the leaf is \(0\), the number is \(50\); if the stem is \(5\) and the leaf is \(1\), the number is \(51\).

Step2: Analyze each option

  • Option A: For \(57\) inches, if the stem is \(5\), the leaves are \(0,1,1,3,6\). There is no leaf \(7\) corresponding to stem \(5\).
  • Option B: For \(29\) inches, there is no stem \(2\) in the given plot. The stems are \(5\), \(6\), and \(7\).
  • Option C: For \(50\) inches, when the stem is \(5\) and the leaf is \(0\), it is present in the plot (\(5|0\)).
  • Option D: For \(72\) inches, if the stem is \(7\), the leaves are \(1,1,3,6,7\). There is no leaf \(2\) corresponding to stem \(7\).

Answer:

C. 50 inches