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Standard VIII

Mathematics

Class Interval

Below given i...

Question

Below given is the pulse count of 40 patients.
66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.
Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.
Next, group the data in continuous class intervals such that one of the class intervals is 85-90.
Find the second class interval and the corresponding frequency of the class for both the groupings of the data.

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Solution

Discontinuous class intervals
$\begin{matrix} Class interval & Frequency 60 - 64 & 4 65 - 69 & 6 70 - 74 & 7 75 - 79 & 7 80 - 84 & 8 85 - 89 & 8 \end{matrix}$
$(1 m a r k)$
Continuous class intervals
$\begin{matrix} Class interval & Frequency 61 - 65 & 4 65 - 70 & 6 71 - 75 & 7 75 - 80 & 7 81 - 85 & 8 85 - 90 & 8 \end{matrix}$
$(1 m a r k)$

From the frequency distribution tables, it can be inferred that,

The second class interval for the discontinuous frequency distribution table is 65 - 69 and the corresponding frequency of the class are 6.

While the second class interval for the continuous frequency distribution table is 65 - 70 and the corresponding frequency of the class is 6.
$(1 m a r k)$

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Similar questions

Below given is the pulse count of 40 patients.
66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.
Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.
Next, group the data in continuous class intervals such that one of the class intervals is 85-90.
Find the second class interval and the corresponding frequency of the class for both the groupings of the data.

Q. A total of

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patients admitted to a hospital are tested for levels of blood sugar

(m g / d l)

and the results obtained were as follows:

87

71

83

67

85

77

69

76

65

85

85

54

70

68

80

73

78

68

85

73

81

78

81

77

75

Find mean, median and mode

(m g / d l)

of the above data.

What is the overall percentage of marks obtained by ‘M’ in all the subjects (rounded off to two digits after decimal)?

Q. Upper limit of class interval

75 - 85

is:

The marks obtained by 10 students in a class are as follows. What is the probability that the average mark obtained by a student in the class is less than 70?(in decimals)

$\begin{matrix} S t u d e n t & E n g l i s h & H i n d i & M a t h e m a t i c s & S c i e n c e 1 & 87 & 78 & 90 & 89 2 & 90 & 68 & 76 & 78 3 & 79 & 68 & 59 & 61 4 & 71 & 67 & 79 & 57 5 & 69 & 91 & 86 & 76 6 & 87 & 85 & 67 & 60 7 & 78 & 90 & 89 & 93 8 & 92 & 76 & 88 & 90 9 & 77 & 81 & 85 & 86 10 & 86 & 75 & 93 & 89 \end{matrix}$

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