i)The following data gives the life span, in hours, of 50 flash light batteries.

73, 72, 58, 102, 84, 76, 82, 100, 70, 72, 81, 95, 105, 101, 63, 85, 82, 90, 54, 75, 92, 75, 84, 62, 85, 80, 52, 87, 91, 85, 80, 104, 106, 72, 57, 103, 78, 79, 91, 70, 108, 97, 88, 73, 67, 101, 96, 84, 53, 86

For the above data, prepare a grouped frequency distribution by inclusive ( non-over lapping) method taking 10 as the magnitude of class intervals

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Solution

According to the given data, we can form the frequency distribution as follows:
(Note: The numbers which are repeated are counted as one.)
Class interval frequency
50 – 60 5
61 – 70 4
71 – 80 9
81 – 90 9
91 – 100 5
101 – 110 7

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Q. 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.

The weekly expenses (₹) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Which among the given options is the correct frequency table?

Wages of 50 workers are given. Present them in the form of exclusive frequency distribution with class interval as 45 - 55, 55 - 65 etc.

$\begin{matrix} 95 & 92 & 91 & 90 & 88 & 82 & 86 & 87 & 87 & 88 & 70 & 72 & 76 & 77 & 77 79 & 79 & 79 & 78 & 78 & 68 & 67 & 67 & 66 & 65 & 62 & 62 & 62 & 62 & 64 58 & 59 & 60 & 60 & 60 & 60 & 61 & 62 & 62 & 62 & 55 & 55 & 55 & 56 & 57 54 & 53 & 52 & 52 & 50 \end{matrix}$

The marks scored by 40 students of class IX in mathematics are given below:
$\begin{matrix} 81, & 55, & 68, & 79, & 85, & 43, & 29, & 68, & 54, & 73, & 47, 35, & 72, & 64, & 95, & 44, & 50, & 77, & 64, & 35, & 79, & 52, 45, & 54, & 70, & 83, & 62, & 64 & 72, & 92, & 84, & 76 & 63 43, & 54, & 38, & 73, & 68, & 52, & 54 \end{matrix}$
Prepare a frequency distribution with class size of 10 marks.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the below frequency table is correct one?

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According to the given data, we can form the frequency distribution as follows: (Note: The numbers which are repeated are counted as one.)Class interval frequency50 – 60 561 – 70 471 – 80 981 – 90 991 – 100 5 101 – 110 7

According to the given data, we can form the frequency distribution as follows:
(Note: The numbers which are repeated are counted as one.)
Class interval frequency
50 – 60 5
61 – 70 4
71 – 80 9
81 – 90 9
91 – 100 5
101 – 110 7