Name: Comparing Data Sets
Uploaded: 2019-07-19
Duration: 8 min 33 s
Description: In this video, we will learn about comparing different data representations, which will help you solve questions in exams on this topic. Learn from this video.

Question

A hotel has $90$ rooms. The table summarises information about the number of rooms occupied each day for a period of $200$ days.

Number of rooms occupied	$1 - 20$	$21 - 40$	$41 - 50$	$51 - 60$	$61 - 70$	$71 - 90$
Frequency	$10$	$32$	$62$	$50$	$28$	$18$

Draw a cumulative frequency graph on graph paper to illustrate this information.

Estimate the number of days when more than $30$ rooms were occupied.

Accepted Answer

Given

Number of rooms occupied $1 - 20$ $21 - 40$ $41 - 50$ $51 - 60$ $61 - 70$ $71 - 90$

Frequency $10$ $32$ $62$ $50$ $28$ $18$

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.

Number of rooms occupied $< 20$ $< 40$ $< 50$ $< 60$ $< 70$ $< 90$

Cumulative Frequency $10$ $42$ $104$ $154$ $182$ $200$

On Y-axis take draw cumulative frequency and on X-axis as number of rooms occupied

Number of days more than thirty rooms were occupied $= 200 - (cf-value at 30.5 rooms)$

$= 200 - (20 to 26)$

$= 174 to 180 days$

Important Questions on Representation of Data

Learn and Prepare for any exam you want !