Chapter 3: Data Handling

Q31Written answer

Rohit 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 – 60
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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Solution:-

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 52 – 55.

Because, more number of students comes under this interval.

In Questions 32 to 49, state whether the statements are True or False.

Q32Written answer

If a die is thrown, the probability of getting a number greater than 6 is 1.

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Solution:-

False.

The possible outcomes when the die is thrown are 1, 2, 3, 4, 5 and 6.

Q33Written answer

When a coin is tossed, there are 2 possible outcomes.

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Solution:-

True.

When a coin is tossed, there are 2 possible outcomes i.e. either Head (H) or Tail (T).

Q34Written answer

If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

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Solution:-

False.

When the given data is arranged in ascending (or descending) order, then the middlemost observation is the median of the data.

So, if the extreme observations on both the ends of data arranged in ascending order are removed, the median is not affected.

Q35Written answer

The measures of central tendency may not lie between the maximum and minimum values of data.

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Solution:-

False.

The measures of central tendency lie between the maximum and minimum values of data.

Q36Written answer

It is impossible to get a sum of 12 of the numbers on both dice when a pair of dice is thrown together.

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Solution:-

True.

The possible outcomes when the die is thrown are 1, 2, 3, 4, 5 and 6.

If both dice get 6, then the sum of the number is 12.

Q37Written answer

The probability of the spinning arrow stopping in the shaded region is ½.

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Solution:-

True.

Probability of spinning arrow stopping in the shaded region = Number of shaded part in circle/total number of parts

= 2/4

= ½

Q38Written answer

A coin is tossed 15 times, and the outcomes are recorded as follows:

H T T H T H H H T T H T H T T. The chance of occurrence of a head is 50 per cent.

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Solution:-

False.

The chance of occurrence of a head = occurrence of a head /total number of trials

= 7/15 × 100

= 46.6 %

Q39Written answer

Mean, Median and Mode may be the same for some data.

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Solution:-

True.

Let us consider the data 4, 3, 4, 3, 4, 6, 4

Mean of the given data = (4 + 3 + 4 + 3 + 4 + 6 + 4)/7

= 4

Mode is the observation that occurs most frequently in the data i.e. 4.

When the given data is arranged in ascending (or descending) order, then the middlemost observation is the median of the data.

Arranging the given data, 3, 3, 4, 4, 4, 4, and 6.

So, the median is 4.

Q40Written answer

The probability of getting an ace out of a deck of cards is greater than 1.

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Solution:-

False.

The probability of getting an ace out of a deck of cards is less than 1.

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