Introduction to Statistics

Q.

State the main limitations of statistics.

Q.

Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack)

1. $\frac{1}{26}$

2. $\frac{5}{52}$

3. $\frac{5}{221}$

4. $\frac{4}{13}$

Q. Which of the following is not a measure of central tendency?

(a) Mean
(b) Median
(c) Mode
(d) Standard deviation

Q.

For an event, odds against is $6:5$. The probability that event does not occur is

1. $\frac{5}{6}$

2. $\frac{6}{11}$

3. $\frac{5}{11}$

4. $\frac{1}{6}$

Q.

the class marks of a frequncy distribution are 6, 10, 14, 18, 22, 26, 30.Find its class size

Q. Facts or figures collected with a definite purpose is called _______.

1. Notified Information
2. Statistics
3. Data
4. None of these

Q.

All face cards of diamonds are removed from the deck of 52 cards. One card is drawn from the remaining cards. The probability that the card drawn is diamond is

1. ¹/₂₀

2. ¹⁰/₄₉

3. ¹³/₄₉

4. ⁵/₂₆

Q.

All kings, jack & diamonds have been removed from a pack of 52 playing cards & the remaining cards are well shuffled. A card is drawn from remaining pack.

Find the probability that the card drawn is

a) a red queen

b) a face card

c) a heart

1. ¹/₃₃, ²/₁₁, ²/₃

2. ¹/₁₁, ¹/₁₁, ²/₃

3. ¹/₃₃, ¹/₁₁, ¹/₃

4. ¹/₃₃, ³/₁₁, ¹/₃

5. ¹/₁₁, ³/₁₁, ²/₃

6. ¹/₁₁, ²/₁₁, ²/₃

Q.

Frequency of a variable is always:

1. In percentage

2. A fraction

3. An integer

4. A complex number

Q.

All the three face cards of spades are removed from a pack of 52 cards and the remaining cards are well-shuffled, then a card is drawn at random. Find the probability of getting.

i) black face card

ii) a black card

iii) an ace or a queen

1. 

2. 

3. 

4. 

5. 

6. 

Q. What is the probability of getting a number less than 3 when a die is rolled?

1. $\frac{2}{3}$
2. $\frac{1}{6}$
3. $\frac{1}{2}$
4. $\frac{1}{3}$

Q.

Pratik has $8$ grey socks and $8$ white socks.

He pulls out two socks randomly without looking at them.

What is the probability of both socks are white?

Q.

Form the frequency distribution table from the following data:

Marks (out of $90$) - Number of candidates

More than or equal to $80$ - $4$

More than or equal to $70$ - $6$

More than or equal to $60$ - $11$

More than or equal to $50$ - $17$

More than or equal to $40$ - $23$

More than or equal to $30$ - $27$

More than or equal to $20$ - $30$

More than or equal to $10$ - $32$

More than or equal to $0$ - $34$

Q. Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that one of them is a red card and other is queen.

Q.

The science of collecting, analysing, interpreting and presenting the numerical data, is known as ___ .

Q.

A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace card is

1. ¹²/₁₃

2. ¹/₁₃

3. ³/₄

4. ¹/₄

Q.

What is the probability of getting a king when a card is drawn from a well shuffled deck of 52 playing cards?

1. ¹/₂₆

2. ⁴/₁₃

3. ¹/₁₃

4. ¹/₅₂

Q.

What is the difference between probability and prediction?

Q.

Find the mean of the following data using assume mean method :

Class 0-10 ; F 8

Class 10-20 ; F 12

Class 20-30 ; F 10

Class 30-40 ; F 6

Q.

What is the meaning of Believe?

Q.

A card is drawn at random from a pack of 52 playing cards. The probability of getting a face card is

1. ¹/_⁴

2. ⁵/₁₃

3. ³/₁₃

4. ⁴/₁₃

Q. The record of a weather station shows that out of the past 200 consecutive days, its weather forecasts were correct 150 times.
What is the probability that the weather report will be incorrect for the next day?

1. 0.2
2. 0.75
3. 0.35
4. 0.25

Q.

Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.

Q.

The classmark for a class interval while calculating the mean is its upper limit.

1. False

2. True

Q.

State true or false.

Statistical data cannot be represented in terms of graphs and diagrams.

1. False

2. True

Q. All face cards of diamonds are removed from the deck of 52 cards. One card is drawn from the remaining cards. The probability that the card drawn is diamond is a) 10/49 b) 13/49 c) 1/20 d) 5/26

Q.

Find the frequency of 40 in the following given set of data.
10, 40, 80, 90, 60, 40, 30, 40, 20, 40, 80, 70, 40

1. 5

Q.

All the three face cards of spade are removed from a well shuffled pack of 52 cards & card is drawn from the remaining pack. Find the probability of getting a black face card.

1. ¹²/₅₀

2. ⁹/₅₀

3. ⁷/₄₉

4. ³/₄₉

Q. Question 3
If $x_i^{\prime }s$ are the mid-points of the calss intervals of grouped data, $f_i^{\prime }s$ are the corresponding frequencies and $\overline{x}$ is the mean, then $\sum (f_i{x}_i-\overline{x})$ is equal to
(a) 0
(b) -1
(c) 1
(d) 2

Q.

A card is drawn from a pack of 52 cards. What is the probability of drawing:

(i) an ace? (ii) a king or a queen? (iii) a spade? (iv) a black card?

1. 

2. 

3. 

4. 

5. 

6.