The mean of 4, 8, 12 and 16 is 10 and the median of 3, 5, 7, 9 and 11 is 7, so this IB sheet opens by averaging and by ordering for the middle value. The answers record 1/6, 0.9 and 0 among the probability results.
Key Takeaways
The mean of 4, 8, 12 and 16 is 10 (Q1).
The median of 3, 5, 7, 9 and 11 is 7 (Q2).
Q3 records 1/6 as a probability answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.What is the mean of 4, 8, 12 and 16?
(a) 10(b) 11(c) 12(d) 9
2.What is the median of 3, 5, 7, 9 and 11?
(a) 5(b) 7(c) 8(d) 9
3.What is the probability of rolling a 6 on a fair die?
(a) 1/3(b) 1/6(c) 1/2(d) 1/4
4.If P(A) = 0.4 and P(B) = 0.5 are mutually exclusive, what is P(A ∪ B)?
(a) 0.9(b) 0.2(c) 0.45(d) 1.0
5.What is the standard deviation of the data 2, 2, 2?
(a) 2(b) 1(c) 0(d) √2
6.The mean of 5 numbers is 6 and one of them is 10. What is the sum of the other four?
(a) 30(b) 24(c) 20(d) 18
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Find the population variance of the data 2, 4, 6, 8.
8.Find the probability of getting two heads when two coins are tossed.
9.If P(A|B) = 0.8 and P(B) = 0.3, find P(A ∩ B).
10.State the mode of 2, 2, 3, 4, 5, 5, 5.
11.A bag has 3 red, 2 blue and 5 green marbles. Find P(red).
12.A discrete distribution has P(X = 0) = 0.2, P(X = 1) = 0.5 and P(X = 2) = 0.3. Find E(X).
13.Find the range of 12, 15, 9, 20, 11.
14.From a standard 52-card deck, find P(king).
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Five test scores average 72. What must the sixth score be so that the average of all six scores is 75?
16.A test has 10 four-option questions and all answers are guessed. Find P(exactly 2 correct).
17.Heights are normally distributed with mean 160 cm and standard deviation 5 cm. What percent of heights lie within one standard deviation of the mean?
18.A lottery ticket costs $2 and wins $50 with probability 1/50, otherwise it pays nothing. Find the expected net gain per ticket.
19.For a normal distribution, about what percent of data lies within two standard deviations of the mean?
20.The probability a player scores is 0.6 for each of two independent shots. Find P(score on both shots).
Answer Key
1. a) 10
2. b) 7
3. b) 1/6
4. a) 0.9
5. c) 0
6. c) 20
7. Refer to solution guide.
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9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
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17. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the mean of 4, 8, 12 and 16?
10, option (a) in this worksheet (Q1).
What is the median of 3, 5, 7, 9 and 11?
7, option (b) in this worksheet (Q2).
What is the probability of rolling a 4 on a die?
1/6, option (b) in this worksheet (Q3).
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