The below data signify the weight (in lb) of $28$ students in a class.

The range of the given weights is .

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Solution

The weights (in lb) of $28$ students are

The range of a data set is the difference between maximum and minimum values present in the set.

Here, the maximum weight of student is $78$ lb and the minimum weight is $48$ lb.

$∴$ The range of weights of $28$ students is $78 - 48 = 30$ lb.

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From the following data relating to weights of 40 students in kg

138, 164, 150, 131, 144, 125, 149, 157, 146, 148,

140, 147, 136, 148, 152, 144, 168, 126, 138, 176,

163, 119, 150, 165, 146, 173, 142, 147, 135, 153,

142, 135, 140, 135, 161, 145, 150, 156, 145, 128

(i) Obtain the range of weights of the students.

(ii) Divide the range into appropriate number of class-interval and obtain the frequency distribution.

(iii) Find the number of students whose weight is

(a) less than 145 kg

(b) more than 155 kg

30

k g

43, 45, 64, 42, 54, 78, 91, 90, 56, 37, 48, 90, 50, 48, 67

85, 30, 39, 49, 40, 50, 45, 68, 90, 50, 34, 56, 88, 43, 50

42.5, 47.5, 48.6, 50.5, 49, 46.2, 49.8, 45.8, 43.2, 48, 44.7, 46.9, 42.4

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