Bar Charts and Histograms

IMPORTANT

Bar Charts and Histograms: Overview

This Topic covers sub-topics such as Histograms, Bar Graph, Difference between a Histogram and a Bar Graph, Relative Frequency Histogram, Frequency Density Histogram, Understanding Histograms, Modal Class in Grouped Data and, Histograms of Uniform Width

Important Questions on Bar Charts and Histograms

MEDIUM
IMPORTANT

refer the table below and answer the following questions related to the table
The table below has given quarterly statistics on the country's Food grain supply, in '000 tonnes, from the four geographic regions. When the supply from the four geographic regions is unable to meet the consumption demand, the go downs stocks are used to make good the shortfall.
(Figure in the table are in '000 tonnes.)

MONTH NORTH SOUTH EAST WEST GODOWNS CONSUMPTION
Quarter 1            
April 10 20 12 8 50 100
May 15 25 11 10 20 80
June 32 40 23 10 0 82
Quarter 2            
July 20 20 25 5 20 90
August 35 38 26 5 0 92
Sept 40 30 25 10 0 76
Quarter 3            
Oct 36 24 40 15 0 80
Nov 32 21 20 20 0 82
Dec 26 25 12 15 22 90
Quarter 4            
Jan 21 11 5 5 16 50
Feb 26 17 12 10 0 60
March 19 20 15 0 0 49


Which region supplied the greatest proportion of food grains consumed during the year?

EASY
IMPORTANT

Study the table and answer the following question.

The frequency distribution of the daily income of 550 workers of a factory is given below:

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What is the size of class intervals?

EASY
IMPORTANT

Directions: Study the following histogram and answer the following questions.
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The percentage of population (approximately) in the age group of 40-45 is:

EASY
IMPORTANT

Directions: Study the following histogram and answer the following questions.
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The ratio of the number of persons between the age group of 20-25 and 30-35 is :

EASY
IMPORTANT

Which of the graphs is a bar graph and histogram.

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EASY
IMPORTANT

What is the difference between histogram and bar graph.

HARD
IMPORTANT

Represent the following data by means of histogram.

Weekly wages 10-15 15-20 20-25 25-30 30-40 40-60 60-80
Number of workers (Frequency) 7 9 8 5 12 12 8

EASY
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In histogram, the _____ of each bar represents the value whereas in bar chart the _____ of each bar represents the values that they represent.

MEDIUM
IMPORTANT

In a factory, there are 39 workers who have been categorised into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of 100). The distribution is presented through a Histogram shown below:

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What is the ratio of the number of employees whose daily wages are 200 or more but less than 400 to that of the number of employees whose daily wages are 400 or more but less than 600?

EASY
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The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is:

EASY
IMPORTANT

Data about the times, in seconds, taken to run 100 metres by n adults are given in the following table.

Time xs 13.6x<15.4 15.4x<17.4 17.4x<19.8
No. adults f a b 27

By first investigating the possible values of a and of b, find the largest possible value of n, given that the modal class contains the slowest runners.

EASY
IMPORTANT

Four classes of continuous data are recorded as 1-7, 8-16, 17-20 and 21-25. The class 1-7 has a frequency of 84 and there is no modal class. Find the total frequency of the other three classes.

EASY
IMPORTANT

A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes.
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Find the total number of journeys provided in August.

EASY
IMPORTANT

A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes.
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Calculate an estimate of the number of these journeys that were delayed by:
10 to 15 minutes.

EASY
IMPORTANT

The masses, m grams, of 690 medical samples are given in the following table.

Mass ( m grams) 4m<12 12m<24 24m<28
No. medical samples f 224 396 70
Calculate an estimate of the number of samples with masses between 8 and 18 grams.

EASY
IMPORTANT

The histogram shows the lengths of 26 black rats.

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The modal class is

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Height in cms:60-62 63-6566-6869-7172-74
No. of students: 1511814212718

Modal group is

EASY
IMPORTANT

Coronavirus disease (COVID-19) is an infectious disease caused by the SARS-CoV-2 virus.

Most of the people who got infected with this virus have experienced mild to moderate respiratory illness and recovered soon. But, some people have become seriously ill and required medical attention. Older people who have other medical conditions like diabetes, chronic respiratory disease, or cardiovascular disease etc. will be infected easily and develop serious illness. Anyone, at any age, can get sick with Coronavirus and become seriously ill or die.

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During a survey, the ages of patients who are infected and admitted in a city hospital are recorded. The data is represented using the histogram as show below:

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The class width of the given data is

EASY
IMPORTANT

Coronavirus disease (COVID-19) is an infectious disease caused by the SARS-CoV-2 virus.

Most of the people who got infected with this virus have experienced mild to moderate respiratory illness and recovered soon. But, some people have become seriously ill and required medical attention. Older people who have other medical conditions like diabetes, chronic respiratory disease, or cardiovascular disease etc. will be infected easily and develop serious illness. Anyone, at any age, can get sick with Coronavirus and become seriously ill or die.

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During a survey, the ages of patients who are infected and admitted in a city hospital are recorded. The data is represented using the histogram as show below:

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The age group of the highest number of patients infected by Covid-19 is

EASY
IMPORTANT

Study the graph carefully and answer the given question.
The graph shows the Demand and Production statistics of the five companies.

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What is the difference between the average demand and the average production of five companies taken together?