The following table gives the heights of 100 students of a school

MATHEMATICS · Subjective · CBSE · Mathematics · Statistics · Statistics

Problem

The following table gives the heights of 100 students of a school, but the class intervals are not in ascending order. Arrange the classes in the proper order and answer the questions that follow.
Class interval (cm)160–165145–150170–175150–155140–145165–170155–160175–180
Number of students15121018512208
(a) Re-write the distribution with class intervals arranged in ascending order and construct the corresponding ‘less than’ cumulative frequency table. (b) On a graph sheet, choose an appropriate scale and draw the ‘less than’ cumulative frequency curve for the data. (c) Using the curve, estimate the median height of the students. (d) With the help of the graph, determine approximately how many students have a height exceeding 160 cm.

Related theory

Browse the problem library