Maths Statistics Chaptertest
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Q1 Find the mean and the median of the following set of numbers:
8, 0, 5, 3, 2, 9, 1, 5, 4, 7, 2, 5.
Solution :
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Q2 Find the mean and the median of all the (positive) factors of 48.
Solution :
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Q3 The mean weight of 60 students of a class is 52.75 kg. If the mean weight of 35 of them is 54 kg, find the mean weight of the remaining students.
Solution :
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Q4 The mean age of 18 students of a class is 14.5 years. Two more students of age 15 years and 16 years join the class. What is the new mean age?
Solution :
Q5 If the mean of the five observations x + 1, x + 3, x + 5, 2x + 2, 3x + 3 is 14, find the mean of first three observations.
Solution :
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Q6 The mean height of 36 students of a class is 150.5 cm. Later on, it was detected that the height of one student was wrongly copied as 165 cm instead of 156 cm. Find the correct mean height.
Solution :
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Q7 The mean of 40 items is 35. Later on, it was discovered that two items were misread as 36 and 29 instead of 63 and 22. Find the correct mean.
Solution :
Q8 The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x + 2, 72, 75, 87, 91.
Solution :
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Q9 Draw a histogram showing marks obtained by the students of a school in a Mathematics paper carrying 60 marks.
Solution :
Q10 In a class of 60 students, the marks obtained in a surprise test were as under:
Represent the above data by a histogram and a frequency polygon.
Solution :
Q11 Construct a combined histogram and frequency polygon for the following distribution:
Solution :
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Q12 The electricity bills (in rupees) of 40 houses in a locality are given below:
78 87 81 52 59 65 101 108 115 95
98 65 62 121 128 63 76 84 89 91
65 101 95 81 87 105 129 92 75 105
78 72 107 116 127 100 80 82 61 118
Form a frequency distribution table with a class size of 10. Also represent the above data with a histogram and frequency polygon.
Solution :
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Q13 The data given below represent the marks obtained by 35 students:
21 26 21 20 23 24 22 19 24
26 25 23 26 29 21 24 19 25
26 25 22 23 23 27 26 24 25
30 25 23 28 28 24 28 28
Taking class intervals 19-20, 21-22 etc., make a frequency distribution for the above data.
Construct a combined histogram and frequency polygon for the distribution.
Solution :
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Q14 The given histogram and frequency polygon shows the ages of teachers in a school. Answer the following:
(i) What is the class size of each class?
(ii) What is the class whose class mark is 48?
(iii) What is the class whose frequency is maximum?
(iv) Construct a frequency table for the given distribution.
Solution :
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