Fill in the blanksRohit collected the data regarding weights of students of his class and prepared the following table- - Weight-in-kg 44-47 48-51 52-55 56-59- Number-of-students 3 5 25 7- - A student is to be selected randomly from his class for some competition- The probability of selection of the student is highest whose weight is in the interval -

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Standard VII

Mathematics

Chance and Probability

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Question 31
Rohit collected the data regarding weights of students of his class and prepared the following table:
$\begin{matrix} W e i g h t (i n k g) & 44 - 47 & 48 - 51 & 52 - 55 & 56 - 59 N u m b e r o f s t u d e n t s & 3 & 5 & 25 & 7 \end{matrix}$
A student is to be selected randomly from his class for some competition. The probability of selection of the student is highest whose weight is in the interval ___.

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Solution

We know that,
$P r o b a b i l i t y = \frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$
$∴$ To make the probability highest, we have to take the interval where number of students i.e. possible outcomes are highest.
Here, probability is highest whose weight is in the interval 52-55.

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Weight (in kg)	$44 - 49$	$50 - 55$	$56 - 61$	$62 - 67$
Number of students	$8$	$15$	$25$	$17$

Garima collected the data regarding weights of students of her class and prepared the above table:
A student is to be selected randomly from her class for some competition. The probability of selection of the student is the highest whose weight (in kg) is in the interval _____.

Q. The weights (in kgs) of students in a class are:
56,50, 66, 48, 52, 56, 45, 44, 56, 60, 56, 44, 50, 51, 50, 45, 50, 56, 48, 50
Find the mode.

Weight (in kg)	40 - 44	44 - 48	48 - 52	52 - 56	56 - 60	60 - 64	64 - 68	68 - 72
Number of students	4	6	10	14	10	8	6	2

The following distribution gives that weights of

60

students of a class. Find the mean and mode weights of the students.

Q. The mean weight of 25 students of a class is 52 kg. If the mean weight of the first 13 students of the class is 48 kg and that of the last 13 students is 55 kg, find the weight of the 13th student.

Following frequency distribution gives the weights of the students of a class.

$\begin{matrix} Weight(in kg) & 31 - 35 & 36 - 40 & 41 - 45 & 46 - 50 & 51 - 55 & 56 - 60 & 61 - 65 & 66 - 70 & 71 - 75 Number of students & 3 & 6 & 13 & 9 & 11 & 7 & 4 & 2 & 1 \end{matrix}$

Find the probability of

(i) choosing a student at random whose weight is atmost 40kg

(ii) choosing a student at random whose weight is greater than 40kg but less than 60kg

(iii) choosing a student at random whose weight is greater than 60kg [3 MARKS]

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Chance and Probability

Standard VII Mathematics

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We know that, Probability=Number of favourable outcomesTotal number of possible outcomes ∴ To make the probability highest, we have to take the interval where number of students i.e. possible outcomes are highest. Here, probability is highest whose weight is in the interval 52-55.