
STATISTICS AND PROBABILITY PRACTICE TEST Q3 2nd Sem
Authored by Oliver Mazo
Mathematics
11th Grade
CCSS covered
Used 31+ times

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50 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the possible values of a random variable when a coin is tossed once?
Tail (T) and Head (H)
The number of dots 1,2,3,4,5,6
Tail and Tail (TT), and Head and Head (HH)
The pair of even number of dots (2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4) and (6,6)
Answer explanation
The possible values of a random variable when a coin is tossed once are Tail (T) and Head (H), making option A the correct choice.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the variance of a discrete probability distribution?
Calculate the standard deviation
Find the mean of the probability distribution
Subtract the mean from each value of the random variable X
Multiply the square of the difference of X and the mean by each value of the random variable.
Answer explanation
The first step in finding the variance of a discrete probability distribution is to find the mean of the probability distribution.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a property of a normal curve?
The total area under it is 1.
The curve is symmetric about the center.
It is divided into positive 2 and negative 2 standard deviations
The mean, median, and mode have the same value and are located at the same point.
Answer explanation
The correct choice is C because a normal curve is divided into positive and negative standard deviations, not specifically 2 and -2 standard deviations.
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A fair coin is tossed three times and the sequence of heads (H) and tails (T) is observed. What is the probability that no heads will appear?
1/8
3/8
5/8
2/3
Answer explanation
The probability of getting tails in one toss is 1/2. Since the coin is fair, the probability of getting tails in three tosses is (1/2)^3 = 1/8. Therefore, the probability of no heads appearing is 1/8.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following illustrates a systematic sampling method?
A researcher conducted a survey of 50 randomly selected workers from each of these categories: high school graduate, with undergraduate degrees, with master’s degree, and with doctoral degree.
A researcher interviewed all freshmen in each of 15 randomly selected public schools in Surigao del Norte.
A researcher doing a research work on students’ reaction of the newly implemented curriculum and interviewed every 10th student entering the gate.
A researcher selected a sample of n = 120 from a population 850 using the Table of Random Numbers.
Answer explanation
Answer Explanation highlighting the correct choice of a systematic sampling method
Tags
CCSS.HSS.IC.B.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The expected value of a random variable is the
largest value that will ever occur.
mean value over an infinite number of observations of the variable.
most common value over an infinite number of observations of the variable.
value that has the highest probability of occurring.
Answer explanation
The expected value of a random variable is the mean value over an infinite number of observations of the variable, making option B the correct choice.
Tags
CCSS.HSS.MD.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area under the part of normal curve in the standard normal distribution that lies within 2 standard deviations of the mean is
68%
95%
99.7%
100%
Answer explanation
The area under the part of normal curve within 2 standard deviations of the mean in the standard normal distribution is 95%, which corresponds to choice B.
Tags
CCSS.HSS.ID.A.4
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