Histogram of Grouped Data

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Histogram of Grouped Data: Overview

This Topic covers sub-topics such as Difference between a Histogram and a Bar Graph, Characteristics of a Histogram, Histogram of Grouped Data, Histograms of Uniform Width, Drawing Histograms of Varying Widths and, Histograms of Varying Widths

Important Questions on Histogram of Grouped Data

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Directions: Study the following histogram and answer the following questions.
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The total number of persons in the age group of 15 years to 45 years is:

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The graphical representation of cumulative frequency distribution is called-

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Histogram is used for presentation of the following type of series.

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The following histogram represents the distribution of total household expenditure (in ₹) of 200 manual workers in a city.

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The number of workers whose total expenditure is 350 and above is what percentage less than the number of workers whose total expenditure is less than 250?

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The histogram given below presents the frequency distribution of average runs scored by 50 selected players from a district in local cricket tournament. 

Study the histogram and answer the question that follows.

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How many players scored 30.5 runs or less?

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Study the histogram showing the marks obtained by students in an examination and then answer the given question.

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The number of students who got marks between 200 and 300 is what percent more than the number of students who got 350 or more marks?

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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?

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Study the given bar graph shows the life time of neon lamps and the number of neon lamps and answer the question that follows.

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The number of neon lamps having life 500 hours or more but less than 700 hours is what percent of the total number of neon lamps having life 800 hours or more?

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Some persons went on an outstation tour. The histogram shows their ages.

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If the children of age less than 15 years got concession, then how many persons got the concession?

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Study the given bar graph shows the life time of neon lamps and the number of neon lamps and answer the question that follows.

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The number of neon lamps having life 800 hours or more but less than 1000 hours are what percent of the total number of neon lamps having life 700 hours or less?

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The histogram shows the marks scored by 40 students in a test with maximum 30 marks. How many students scored 10 or more marks?

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The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

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What is the ratio of the number of students who scored marks in the class intervals 10-15 and 15-20 taken together to that of the students in the class intervals 5-10 and 25-30 taken together?

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Some families went on an outstation tour. The given histogram shows their ages.

What is the ratio of persons of age less than 15 years to that of persons of age less than 30 years?

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The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

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What is the percentage of the students who scored less than 50% marks?

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Some persons went on an outstation tour. The histogram shows their ages:

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How many persons are less than 20 years of age?

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The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

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What is the percentage of the students who scored less than 20 marks?

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Study the graph which shows the daily wages with number of workers and answer the question that follows.

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If the ratio of the total number of workers whose daily wages are less than 450 to the total number of workers whose daily wages are 600 or above is a:b, then what is the difference between b and a.

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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). It is ensured that the daily wage of no worker is an exact multiple of 100. The distribution is presented through the given histogram.

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If two Managers are engaged to supervise the workers, with daily wages ranging between 700 and 800, then what will be the average daily wage (nearest to an ) of all members of staff of the factory?

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The histogram shows the weights of students of class X in a school.

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Let x be the number of students whose weight is less than 50 kg and y be the number of the students whose weight is greater than or equal to 60 kg. What is the value of x : y?

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Study the given graph which shows the number of workers with their wages and answer the question that follows:

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What is the ratio of the total number of worker whose daily wages are 450 or above but less than 500 to the total number of workers whose daily wages are 650 or above?