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WorksheetsSTATISTICS & PROBABILITY-G11
Total questions: 198
Worksheet time: 7hrs 36mins
It is used to describe the entire population being studied.
Mean
Population
Statistics
Parameter
A die is rolled. Find the probability that an even number is obtained.
1/2
1/3
3/6
{2,4,6}
Find the mean of:
1, 3, 4, 6, 6, 7, 8
7
5
35
1/7
WHO IS YOUR PRESIDENTIAL BET?
LENI ROBREDO
BONGBONG MARCOS JR.
MANNY PACQUIAO
PING LACSON
ISKO MORENO
The poll on presidential bet is an example of _______.
Population
Parameter
Sample
Statistic
In the bell curve of the normal distribution, the middle part represents the (a) .
The MEAN in the standard normal distribution represents what value?
(a)
THE BELL CURVE SHOWS WHAT KIND OF DISTRIBUTION?
below z = - 1
below z = -1 and
z = 3
above z = - 1
above z = -1 and
z = 3
Which formula gives the
Probability distribution shown by the table?
P(x)= 1/x
P(x)= x/6
P(x)= 6/x
P(x)= 1/6x
If P(x)= x/6, what are the possible values of x to be a probability?
0,2,3
1,2,3
2,3,4
1,1,2
What is the mean of the probability distribution?
1.5
1.2
1.6
1.8
What is the variance of the probability distribution?
0.75
1.00
. 1.25
0.50
What is the standard deviation of the probability distribution?
1.00
0.87
1.12
0.71
Identify whether the given variable is discrete or continuous.
Number of books in the library
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Lifetime in hours of 15 flashlights
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Number of tourists each day in museum
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Capacity of water dams in the region
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Weight of Grade 11 students
Discrete Variable
Continuous Variable
What is the mean of the following list of numbers?
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
9
10
11.5
12.5
What is the median of the following list of numbers?
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
9
11
10
12
The data set: 12, 9, 10, 8, 1, 10, 6
What is the median?
8
9
10
The data set: 12, 9, 10, 8, 1, 10, 6
What is the mode?
10
8
7
5
The bakery has three donuts on the shelf:
Glazed -- 75
Chocolate -- 10
Sprinkles -- 15
What is the probability someone randomly selects glazed? Make sure you simplify your fraction.
75/100
3/4
75
4/3
y = mx + b
Which letter in this equation stands for the y-intercept?
y
m
x
b
Which formula gives the
Probability distribution shown by the table?
P(x)= 1/x
P(x)= x/6
P(x)= 6/x
P(x)= 1/6x
If P(x)= x/6, what are the possible values of x to be a probability?
0,2,3
1,2,3
2,3,4
1,1,2
Identify whether the given variable is discrete or continuous.
Number of books in the library
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Lifetime in hours of 15 flashlights
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Number of tourists each day in museum
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Capacity of water dams in the region
Discrete Variable
Continuous Variable
Identify whether the given variable is discrete or continuous.
Weight of Grade 11 students
Discrete Variable
Continuous Variable
1. A variable that can be discrete or continuous is called ____________.
Random Notation
Random Sample
Random Variable
Random elimination
Which of the following is a variable whose value is obtained by measuring?
Continuous
Discrete
Interval
Nominal
Which of the following is an example of discrete variable?
Distance travelled between tricycles
Height of the students in a certain class
Number of red marbles in the basket
Weight of student
Continuous random variable is a numerical quantity derived from the outcome of an experiment that can be _______________.
Counted
Measured
Manipulated
Traced
Which of the following statement DOES NOT describe a discrete random variable?
The number of siblings in your family.
The number of affected individuals by “Covid- 19” pandemic.
The height of your brother in centimeters.
The number of qualified family in “Social Amelioration Program”.
If a coin is tossed, what are the possible values of the random variable for the number of heads?
0,1
0,1,2
1,2,3
0,1,2,3
If two coins are tossed, which is not a possible value of the random variable for the number of heads?
0
1
2
3
Which of the following is a discrete random variable?
the average amount of electricity consumed
the number of patients in a hospital
the amount of paint used in repainting a building
the average weight of female athletes
A variable whose value could be a finite and countable number is a ________________.
Continuous Variable
Discrete Variable
Random Variable
Measured Variable
Suppose you tossed two coins. What are the sample spaces for this experiment?
HH, TT
HH, HT, TT
HH, TH, TT
HH, HT, TT, TH
It is the weighted average of the possible values that the random variable can take.
mode
variance
standard deviation
mean
They describe the amount of spread in a distribution.
mode
variance
percentile
median
Which of the following is the formula in finding the mean of the probability distribution?
∑X⋅P(X)
∑X2⋅P(X)−μ2
∑X2⋅P(X)
∑X⋅P(X)
Identify the value that should be placed in the question mark.
Note: Remember your answer in each item so that you can use your time wisely.
0.2
0
0.3
0.1
Identify the value that should be placed in the question mark.
Note: Remember your answer in each item so that you can use your time wisely.
0.3
0.4
0.5
0.6
A normal curve has a ____ shape.
skewed left
skewed right
bimodal
symmetrical
The center of the curve represents what value of a data set?
μ = population mean
δ = population standard deviation
Σ= sum of the data values
Ζ = z or standard scores
In a normal curve,
the mean is greater than the median
the mean is less than the median
the mean is equal to the median
who knows
On the normal curve graph, the positive standard deviations represent values ABOVE or BELOW the mean?
ABOVE
BELOW
Which measure goes in the center of the Normal Curve?
standard deviation
mean
median
mode
Find the missing value, p to make this a valid probability distribution.
0.17
0.20
0.19
0.16
The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.
31.8
15.68
0.20
1.00
It is described as how scattered or spread out the scores from the other.
Mean
Standard Deviation
Variance
Average
Find the mean of the probability distribution
(a)
Which measure goes in the center of the Normal Curve?
standard deviation
mean
median
mode
TRUE or FALSE: There are two types of standard deviation: population and sample.
True
Sometimes true, sometimes false
False
What is the mean of the following list of numbers?
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
9
10
11.5
12.5
What is the median of the following list of numbers?
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
9
11
10
12
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
What is the sample space for the spinner?
8
6
1,2,3,4,5,6,7,8
What is the probability you spin something larger than 10
5
3/10
10/15
3/8
What is the probability you spin an odd number and not yellow?
5/18
1/9
1/3
4/9
You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?
1/9
3/9
Susan 2
5/6
How many total outfit options are represented?
12
22
6
3
A small veterinary practice currently has 95 patients that they see regularly. Twelve of the animals are birds, 22 are cats, and 61 are dogs. An emergency call comes into the office, what is the probability that the animal that needs to be seen is a dog?
9583≈0.8737
9573≈0.7684
9561≈0.6421
none of these
A small veterinary practice currently has 95 patients that they see regularly. Twelve of the animals are birds, 22 are cats, and 61 are dogs. An emergency call comes into the office, what is the probability that the animal that needs to be seen is a cat or a dog?
9583≈0.8737
9573≈0.7684
9561≈0.6421
none of these
A small veterinary practice currently has 95 patients that they see regularly. Twelve of the animals are birds, 22 are cats, and 61 are dogs. An emergency call comes into the office, what is the probability that the animal that needs to be seen is not a cat?
9583≈0.8737
9573≈0.7684
9561≈0.6421
none of these
A survey showed that 28% of adults do not own a cell phone. Out of 1,550 adults, predict how many would say that they do not own a cell phone.
4340
434
55
1522
What is the probability that a person chooses basketball as their favorite sport?
20
20/50
2/5
20%
A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.
y = 1.5x + 12
y = 12x + 1.5
y = 0.67x - 8
y = -8x + 0.67
Write the equation for the linear regression shown.
y=ax+b
y=0.6x+0.1
y=0.72x+r
y=0.1x+0.6
holidays in a year
continuous
discrete
speed of an automobile in km/hr
continuous
discrete
weight of dressed chicken in a supermarket
continuous
discrete
concert tickets sold
continuous
discrete
length of time needed to solve a problem
continuous
discrete
number of building permits issued each month in a municipality
continuous
discrete
width of a rectangular lot
continuous
discrete
number of text messages sent
continuous
discrete
female faculty in a school
continuous
discrete
a dam’s water level expressed in meters
continuous
discrete
What do you call a random variable with possible values that form a finite or countable set?
continuous
discrete
finite
infinite
What term is used to describe the average value of a discrete random variable over numerous trials of an experiment?
mean
probability
standard deviation
variance
Which of the following represents the amount of spread, dispersion, or variability of the items in a distribution?
mean or expected value
median and mode
outcomes and probability distribution
variance and standard deviation
Which of the following is also equal to the square root of the variance?
mean
median
probability
standard deviation
How would you interpret a very small variance or standard deviation but not equal to zero?
The values of the random variables are farther from the mean.
The values of the random variables are nearer to the mean.
The values of the random variables are equal to the mean.
The values of the random variables have no relationship with the mean.
Which of the following shows most likely the largest possible variance or variability?
number of girls in a randomly selected three-child family
number of newborn babies per minute.
number of Oreo cookies inside a 133 grams pack from different
branch of 711 stores
number of patients who are positive with COVID-19 in different
hospitals
Which of the following data shows most likely the smallest possible variance or variability?
number of books in different branch of National Bookstore
number of books inside a pack bag of grade 11 students
number of books inside the library of different universities
number of books inside the library of different households
What formula is described by σ2 = ∑[x2 * P(x)] − u2?
Which of the following is NOT a property of the variance?
The variance is not equal to the standard deviation.
A small variance means that the distribution of the random variable is narrowly concentrated around the mean.
A large variance means that the distribution is spread out, with some chance of observing values at some distance from the mean.
The value of the variance is less than zero.
Which of the following represents the mean value of a discrete random variable?
Expected value
Median
Standard deviation
Standard deviation
Which of the following is the correct formula to find the expected value of the probability distribution?
E(x) = ∑[x ∙ P(x)]
E(x) = ∑[x2∙ P(x)]
E(x) = ∑[x2 ∙ P(x)] − u2
The total area under the normal curve is
The normal curve is bell-shaped
x
/
sometimes
depends
Which part of the normal curve is extended indefinitely in both directions along the horizontal axis, approaching but never touching it?
According to the property of a Normal Probability Distribution, the mean is equal to what measures of central tendency?
median
mode
both A and B
only A
Which of the following rules state that almost all data fall within the 1, 2, and 3 Standard Deviation of the Mean when the population is normally distributed?
Empirical rule
Lottery rule
Pascal’s triangle rule
Sampling rule
The spinner is spun two times. Determine the probability of getting a red green combo.
1/9
1/10
2/9
1/12
what is the sum of a probability distribution?
0
1
2
3
If the three coins were tossed, what is the maximum value of the random variable?
1
2
3
4
A radio station asks its listeners to dial one of two numbers to indicate their preference for one of two candidates in an upcoming election. Of the responses received, 76% favored candidate A. If there are 1,500 registered voters, how many will vote for candidate A?
1,140
6
1,974
100
Then, 68% of all tires will have a life between ___________ km and __________ km.
It is a numerical description of a population characteristic.
Parameter
People
Statistics
Data
It is a numerical description of a sample characteristic
Statistic
Statistics
Parameter
Data
What percent of men are taller than 74 inches?
Sample space is...
the set of all the possible outcomes
the set of all of the complements of the events
the set of all variables that are in the problem
a set of points that are equidistant from the center
Given P(A) = .8 and P( B| A) = .3, find P( A and B).
2.6
.12
.24
.38
What is the RANGE of her test scores?
7, 14, 20, 3, 7, 14, 2, 14, 7
Find the median from the list of numbers:
60, 58, 52, 48, 60, 67
58
59
60
118
Find the median, first quartile, third quartile, and interquartile range of the data.
32, 53, 72, 66, 47, 54, 49, 67, 71
Median: 54
First Quartile: 49
Third Quartile: 67
IQR: 18
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 21
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 22
Median: 54
First Quartile: 49
Third Quartile: 69
IQR: 20
7
Find the IQR (Q3 - Q1) of the data
20, 22, 25, 29, 31
What is the third step when calculating the Mean Absolute Deviation?
Find the distance each value is from the mean
Find the mean of the distances
58, 38, 54, 48, 26, 36
Find the Mean Absolute Deviation: 5, 11, 2, 7, 16. The Mean is 8.2
3.2
2.8
1.2
4.2
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
How do you calculate the standard deviation?
Divide the variance by 2.
Its a long process and I can't explain it right now.
Find the mean and multiply it by the variance.
Take the square root of the variance.
Given a variance of 64, what is the standard deviation?
8
4096
0
6.8
Which probability shows the certainty of an event to happen?
P(x) = 0.5
P(x) = 6/6
P(x) = 0
P(x) = 1
If you roll a die once, what is the probability that an even face will appear?
1/6
1/2
5/6
1
From a standard deck of cards, what is the probability that you are going to pick a card of hearts?
(a)
In tossing a coin, what is the probability that the Head (H) will appear?
1
0.5
0.25
0
What do you call a single value that contains the parameter value?
Interval estimate
Point estimate
t statistics
z statistics
What is the quantitative description of the correlation coefficient when computed r = 0.75?
Perfect
Very high
Moderately high
Moderately low
What does the absolute value of r indicate?
Correlation
Direction
Sign
Strength
Which sample size will give a smaller error of the mean?
12
25
20
35
What is the value resulting from subtracting the maximum error from the sample mean?
Interval estimate
Lower limit of the interval estimate
Point estimate
Upper limit of the interval estimate
