The heights of 50 students, measured to the nearest centimeters, have been found to
be as follows:
161   150   154   165   168   161   154   162   150    151

162   164   171   165   158   154   156   172   160   170

153   159 161   170   162   165   166   168   165    164

154   152 153   156   158   162   160   161    173   166

161   159   162   167   168   159   158   153   154   159

What is the maximum range of height?

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150-155

150-160

165-160

170-175

answer is D.

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Detailed Solution

Given data,
161   150   154   165   168   161   154   162   150    151
162   164   171   165   158   154   156   172   160   170
153   159 161   170   162   165   166   168   165    164
154   152 153   156   158   162   160   161    173   166
161   159   162   167   168   159   158   153   154   159
50 students make up the class as a whole.
From the table we see that in this class, the tallest person is 173.
Consequently, the height range for a student in the class is 170–175 cm.
Therefore the answer is option (4).

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