MEASURES OF CENTRAL TENDENCY
It is the most reliable measures of central tendency.
Mean
It refers to the difference between the highest value and the lowest value in the data set.
Range
It is the likelihood of an event happening.
Probability
These are events in which the outcome of one does not affect the outcome of the other.
Independent events
Which of the following is not a prime number?
A. 1
B. 2
C. 3
D. 5
A. 1
A guidance counselor collected the heights (in centimeters) of all Grade 8 students to describe their average height. What measure of central tendency should be used?
Mean
If the variance is 16, what is the standard deviation?
σ=4
What type of event is getting a black card form a standard deck of cards?
Equally likely event
Identify whether the events described are Dependent or Independent.
A student selects a book from the shelf and keeps it. Then another book is selected.
Dependent Events
What is the formula in finding the variance?
∑(x-mean)2/n
The Math teacher recorded the number of correct answers obtained by Grade 8 students in a 15-item quiz. The results are: 8, 10, 12, 8, 14, 10, 9, 8, 11, 12. What is the mode of the data?
Mode=8
A teacher randomly selected 5 students from Class A and another 5 students from Class B to take a 100-item examination. The results are as follows:
CLASS SCORES MEAN SD
A 80,85,85,90,95 87 5.70
B. 65,80,95,95,100 87 14.40
1) Which class shows higher variability?
2) If you were to decide which class performed better, who will it be and why?
1) Class B's score shows higher variability.
2) Class A performed better since their scores are more consistent.
How many outcomes are favorable in rolling a number less than 4 when rolling a die?
3
A coin is tossed and a 6-sided die is rolled. What is the probability of getting a tail and an odd number?
1/4
A bag contains 4 green, 3 red, and 2 blue marbles. You randomly pick one marble. How many outcomes are favorable to not picking a red marble?
Marbles not red = green + blue = 4 + 2 = 6
Given the following data set: 6, 9, 11, 4, 10, 2
1) What is the mean?
2) What is the median?
3) What is the mode?
1) Mean=7
2) Median=7.5
3) Mode=no mode
Find the mean deviation of the following data set:
3,6,9
MD=2
A jar contains 50 marbles. 18 are black, 20 are blue, 6 are green, and 6 are white. What is the probability of P(black)
What is 9/25
A coin is tossed and a 6-sided die is rolled. What is the probability of getting a head and a prime number?
1/4
A shop offers 4 flavors of ice cream and 3 toppings. If a customer randomly picks one flavor and one topping, what is the probability of choosing chocolate flavor with sprinkles?
1/12
Four numbers have a mean of 10. Three of the numbers are 8, 11, and 9. What is the fourth number?
12
Find the standard deviation of the following data set:
1, 7, 9, 15
σ=5
You flip a coin 150 times and get heads 70 times. What is the experimental probability of getting tails?
8/15
A box contains 5 cards: 2 red (R), 2 blue (B), and 1 yellow (Y). You draw one card without replacement, then draw a second card. What is the probability of drawing a red card first and then a blue card?
1/5
A set of data consists of five numbers. The mode is 5. The median is 6. The mean is 8. The difference between the largest and smallest numbers is 10. What are the five numbers?
5, 5, 6, 9, 15