A survey recently went out to 15 university presidents across a certain country.

Question

A survey recently went out to 15 university presidents across a certain country. The data represents the ages of the different presidents. Use a stem-and-leaf plat that has two rows for each stem to represent their ages. 50, 63, 58, 54, 56, 55, 62, 67, 56, 64, 54, 61, 57, 53, 72 Determine the leaves in the stem-and-leaf plot shown at the right (Use ascending order.) Which of the following best summarizes what the stem-and-leaf plot tells you about the data? A. The plot shows that there is an equal amount of university presidents under the age of 60 as there is above the age of 60 B. The plot shows that the age of the university presidents cluster around age 60. C. The plot shows that most university presidents have ages that range from 65 to 75 years old. D. The plot shews that most university presidents have ages that range from 50 to 65 years old.

Explanation / Answer

Given Observations are 50,63,58,54,56,55,62,67,56,64,54,61,57,53,72

Here, Minimum= 50 and Maximum=72

Clearly, in the problem the stems are 5,6,7.Accordingly we prepare stem and leaf chart.

In the above table first of all we have entered the leaves according to order of occurrence.However we arrange them in asending order, thus the final stem and leaf chart will be as follows.

Option (D) is correct

The plot shows the most university presidents have age that range 50 to 66 years old.

Stem Leaf 5 0,8,4,6,5,6,4,7,3 6 3,2,7,4,1 7 2

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