# The Heights of 50 Students, Measured to the Nearest Centimeters, Have Been Found to Be as Follows - Mathematics

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

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

(ii) What can you conclude bout their heights from the table?

#### Solution

(i) A grouped frequency distribution table has to be constructed taking class intervals 160 − 165, 165 − 170, etc. By observing the data given above, the required table can be constructed as follows.

 Height (in cm) Number of students (frequency) 150 − 155 12 155 − 160 9 160− 165 14 165 − 170 10 170 − 175 5 Total 50

(ii) It can be concluded that more than 50% of the students are shorter than 165 cm.

Concept: Presentation of Data
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Chapter 14: Statistics - Exercise 14.2 [Page 245]

#### APPEARS IN

NCERT Class 9 Maths
Chapter 14 Statistics
Exercise 14.2 | Q 4 | Page 245

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