A ‘less than’ cumulative frequency table for the weekly pocket money (in ₹) of 50…

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

A ‘less than’ cumulative frequency table for the weekly pocket money (in ₹) of 50 students is given below. Pocket money below ₹10 : 4 Pocket money below ₹20 : 11 Pocket money below ₹30 : 23 Pocket money below ₹40 : 37 Pocket money below ₹50 : 45 Pocket money below ₹60 : 50 Use the information to answer the following. (i) Convert the data into a simple frequency distribution with class intervals 0–10, 10–20, … , 50–60. (ii) Construct a ‘more than’ cumulative frequency table for the same class intervals. (iii) Determine the class interval in which the 30th percentile (i.e., the lowest 30 % of observations) falls.

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