Observe the data given below and match the columns that follow: class 0-10 10-20 20-30 30-40 40-50 50-60 frequency 8 10 9 16 32 20 Column A Column B (A) class size of data (a) 30 (B) lower limit of fifth class (b) 15 (C) upper limit of third class (c) 10 (D) class mark of second class (d) 20 (E) frequency of sixth class (e) 40

Class size of data Class size = Upper limit - Lower limit = 10 - 0 = 10 Lower limit of fifth class In the given data table, 5 t h class is 40 - 50 ∴ Lower limit of fifth class is 40 Upper limit of the third class In the given data table, 3 rd class is 20 - 30 ∴ Upper limit of 3 rd class is 30 In the given data table 6 th class is 50 - 60 and its frequency is 20 . Column A Column B (A) class size of data (c) 10 (B) lower limit of fifth class (e) 40 (C) upper limit of third class (a) 30 (D) class mark of second class (b) 15 (E) frequency of sixth class (d) 20

Match the following: column A column B (A) The scale of the probability is (a) 2 3 (B) The probability of not getting a multiple of 3 when a die is thrown is. (b) 1 2 (C) A fair die is thrown, the probability of not getting a prime number is (c) 5 6 (D) In a cricket match hits a boundary 3 times in 3 overs he played. The probability that he did not hit the boundary is (d) from 0 to 1 (inclusive)

The probability of an event lies from 0 to 1 . Therefore, The scale of probability is from 0 to 1 (inclusive). Given that, A die is thrown then the possible outcomes, S = { 1 , 2 , 3 , 4 , 5 , 6 } Let E be the event of not getting a multiple of 3 E = { 1 , 2 , 4 , 5 } We know that, P ( E ) = n ( E ) n ( S ) = 4 6 = 2 3 A fair die is thrown The possible outcomes S = { 1 , 2 , 3 , 4 , 5 , 6 } Let E be the event of not getting a prime number E = { 1 , 4 , 6 } P ( E ) = n ( E ) n ( S ) = 3 6 = 1 2 Let E be the event of a batsman hits a boundary. Let F be the event of a batsman not hitting a boundary Number of balls he played = 3 overs = 18 balls P ( E ) = number of favourable outcomes total number of outcomes = 3 18 = 1 6 We know that, P ( E ) + P ( F ) = 1 ⇒ P F = 1 - 1 6 ⇒ P F = 5 6 ∴ The probability that the batsman did not hit the boundary is 5 6 . Column A Column B (A) The scale of the probability is (d) from 0 to 1 (inclusive) (B) The probability of not getting a multiple of 3 when a die is thrown is. (a) 2 3 (C) A fair die is thrown, the probability of not getting a prime number is (b) 1 2 (D) In a cricket match hits a boundary 3 times in 3 overs he played. The probability that he did not hit the boundary is (c) 5 6

Complete the following crossword puzzle, using the given hints. Across → 1. Most frequency occurring observation. 4. Difference between the upper limit and the lower limit of a class. 5. Branch of mathematics that deals with the presentation. 7. Value of the middle most observation. 8. Number of times an observation occur in the data. 9. Mid-value of a class interval. Down ↓ 2. Numerical facts collected with a definite purpose. 3. The difference between the highest and the lowest value of the data. 6. Sum of the values of observations divided by the number of observation.

1. Most frequency occurring observation is Mode. A set of data may have one mode, more than one mode, or no mode at all. 2. Numerical facts collected with a definite purpose is called Data 3. The difference between the highest and the lowest value of the data is called Range. 4. Difference between the upper limit and the lower limit of a class is known as class size. 5. Branch of mathematics that deals with the presentation is statistics. 6. Sum of the values of observations divided by the number of observation is called Mean. 7. Value of the middle most observation is Median. 8. Number of times an observation occur in the data is called Frequency. 9. Mid-value of a class interval is called Class mark. It is defined as the average of the upper and lower class limits. 1. MODE 2. DATA 3. RANGE 4. CLASS SIZE 5. STATISTICS 6. MEAN 7. MEDIAN 8. FREQUENCY 9. CLASS MARK

Complete the following crossword puzzle, using the given hints. ACROSS ⟶ 1. An event with a probability of 0 2. Two events are _____ if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed. 6. The _____ of an event is all outcome different from the favourable outcome. 7. A situation involving chance or probability that leads to a result called outcome. 10. The chance that an event will occur expressed as the ratio of the number of favourable outcomes to the number of possible outcomes. 11. Events are _____ exclusive if they cannot occur at the same time. DOWN ↓ 1. _____ events are events for which the outcome of the second event does not depend on the outcome of the first event. 3. A possible set of outcomes for an experiment. 4. A _____ space is the set of all possible outcomes for an experiment. 5. A result of an experiment. 6. _____ probability is the probability of an event occurring given that another event also occurs. 8. Outcomes are _____ likely if they have the same chance of occurring. 9. A _____ event has a probability of 1 .

ACROSS 1 . An event with a probability of 0 is an IMPOSSIBLE event. 2 . Two events are DEPENDENT if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed. 6 . The COMPLEMENT of an event is all outcome different from the favourable outcome. 7 . EXPERIMENT is a situation involving chance or probability that leads to results. 10 . PROBABILITY is the chance that an event will occur expressed as the ratio of the number of favourable outcome to the number of possible outcomes. 11 . Events are MUTUALLY exclusive if they cannot occur at the same time (i.e., they have no outcomes in common). DOWN 1 . INDEPENDENT events are events for which the outcome of the second event does not depend on the outcome of the first event. 3 . An EVENT is a possible set of outcomes for an experiment. 4 . A SAMPLE space is the set of all possible outcomes for an experiment. 5 . OUTCOME is a result of an experiment. For example, if we flip a coin we get an outcome of a head or a tail. 6 . CONDITIONAL probability is the probability of an event occurring given that another event also occurs. 8 . Outcomes are EQUALLY likely if they have the same chance of occurring. 9 . A CERTAIN event has a probability of 1 .

E M B I B E

Activity Plus in Mathematics>Chapter 6 - Statistics and Probability>Enrichment Exercise>Q C

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9th CBSE

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The empirical probability $P (E)$ of an event is given by $P (E) =$ Number of trials in which $E$ happened $\div$ number of trials. (One-fourth/Half/Total)

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Important Questions on Statistics and Probability

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9th CBSE

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Activity Plus in Mathematics>Chapter 6 - Statistics and Probability>Enrichment Exercise>Q D

Observe the data given below and match the columns that follow:

class	0-10	10-20	20-30	30-40	40-50	50-60
frequency	$8$	$10$	$9$	$16$	$32$	$20$

Column A	Column B
(A) class size of data	(a) $30$
(B) lower limit of fifth class	(b) $15$
(C) upper limit of third class	(c) $10$
(D) class mark of second class	(d) $20$
(E) frequency of sixth class	(e) $40$

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 6 - Statistics and Probability>Enrichment Exercise>Q D

Match the following:

column A	column B
(A) The scale of the probability is	(a) $\frac{2}{3}$
(B) The probability of not getting a multiple of $3$ when a die is thrown is.	(b) $\frac{1}{2}$
(C) A fair die is thrown, the probability of not getting a prime number is	(c) $\frac{5}{6}$
(D) In a cricket match hits a boundary $3$ times in $3$ overs he played. The probability that he did not hit the boundary is	(d) from $0$ to $1$ (inclusive)

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9th CBSE

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Activity Plus in Mathematics>Chapter 6 - Statistics and Probability>Enrichment Exercise>Q E

Complete the following crossword puzzle, using the given hints.

Across $\to$
1. Most frequency occurring observation. 4. Difference between the upper limit and the lower limit of a class. 5. Branch of mathematics that deals with the presentation. 7. Value of the middle most observation. 8. Number of times an observation occur in the data. 9. Mid-value of a class interval.
Down $↓$
2. Numerical facts collected with a definite purpose. 3. The difference between the highest and the lowest value of the data. 6. Sum of the values of observations divided by the number of observation.

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9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 6 - Statistics and Probability>Enrichment Exercise>Q E

Complete the following crossword puzzle, using the given hints.

ACROSS $⟶$
1. An event with a probability of $0$ 2. Two events are _____ if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed. 6. The _____ of an event is all outcome different from the favourable outcome. 7. A situation involving chance or probability that leads to a result called outcome. 10. The chance that an event will occur expressed as the ratio of the number of favourable outcomes to the number of possible outcomes. 11. Events are _____ exclusive if they cannot occur at the same time.
DOWN $↓$
1. _____ events are events for which the outcome of the second event does not depend on the outcome of the first event. 3. A possible set of outcomes for an experiment. 4. A _____ space is the set of all possible outcomes for an experiment. 5. A result of an experiment. 6. _____ probability is the probability of an event occurring given that another event also occurs. 8. Outcomes are _____ likely if they have the same chance of occurring. 9. A _____ event has a probability of $1$ .