Maths Statistics Exercise20-3



Please Select

Q1 The area under wheat cultivation last year in the following states, correct to the nearest lacs hectares was:



Represent the above information by a bar graph.

Solution :



Q2 The number of books sold by a shopkeeper in a certain week was as follows:



Draw a graph for the above data.

Solution :



Q3 Given below is the data of percentage of passes of a certain school in the ICSE for consecutive years:



Draw a bar graph to represent the above data.

Solution :



Q4 Birth rate per thousand of different countries over a certain period is:



Draw a horizontal bar graph to represent the above data.

Solution :



Q5 Given below is the data of number of students (boys and girls) in class IX of a certain school:



Draw a bar graph to represent the above data.

Solution :



Q6 Draw a histogram to represent the following data:

Solution :



Q7 Draw a histogram to represent the following frequency distribution of monthly wages of 255 workers of a factory.

Solution :



Q8 Draw a histogram for the following data:

Solution :



Q9 Draw a histogram for the following frequency distribution:

Solution :

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Q10 Draw a histogram for the following data:

Solution :

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Q11 Draw a frequency polygon for the following data:

Solution :



Q12 In a class of 60 students, the marks obtained in a monthly test were as under:



Draw a frequency polygon to represent the above data.

Solution :



Q13 In a class of 90 students, the marks obtained in a weekly test were as under:



Draw a frequency polygon for the above data.

Solution :

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Q14 In a city, the weekly observations made in a study on the cost of living index are given in the following table:



Draw a frequency polygon for the data given above.

Solution :

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Q15 Construct a combined histogram and frequency polygon for the following data:

Solution :



Q16 In a study of diabetic patients, the following data was obtained:



Represent the above data by a histogram and a frequency polygon.

Solution :



Q17 The water bills (in rupees) of 32 houses in a locality are given below:

30, 48, 52, 78, 103, 85, 37, 94, 72, 73, 66, 52, 92, 65, 78, 81, 64, 60, 75, 78, 108, 63, 71, 54, 59, 75, 100, 103, 35, 89, 95, 73.

Taking class intervals 30-40, 40-50, 50-60, ….. ,form frequency distribution table. Construct a combined histogram and frequency polygon.

Solution :

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Q18 The number of matchsticks in 40 boxes on counting was found as given below:

44, 41, 42, 43, 47, 50, 51, 49, 43, 42, 40, 42, 44, 45, 49, 42, 46, 49, 45, 49, 45, 47, 48, 43, 43, 44, 48, 43, 46, 50, 43, 52, 46, 49, 52, 51, 47, 43, 43, 45.

Taking classes 40-42, 42-44 ….., construct the frequency distribution table for the above data. Also draw a combined histogram and frequency polygon to represent the distribution.

Solution :

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Q19 The histogram showing the weekly wages (in rupees) of workers in a factory is given alongside.

Answer the following about the frequency distribution:
(i) What is the frequency of the class 400-425?

(ii) What is the class having minimum frequency?

(iii) What is the cumulative frequency of the class 425 – 450?

(iv) Construct a frequency and cumulative frequency table for the given distribution.

Solution :

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Q20 The runs scored by two teams A and B on the first 42 balls in a cricket match are given below:



Draw their frequency polygons on the same graph.

Solution :

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