Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
DIAGNOSTIC TEST IN BASIC STATISTICS
1. A researcher is interested in the travel time of Cagayan National High School students to
JHS campus. A group of 50 students is interviewed. Their mean travel time in 16.7 minutes.
For this studythe mean of 16.7 minutes is an example of a(n)
A. Parameter
B. Statistic
C. Population
D. Sample
2. A researcher is curious about the IQ of students at Cagayan National High School. The entire
group of students is an example of a:
A. Parameter
B. Statistic
C. Population
D. Sample
3. Statistical techniques that summarize and organize the data are classified as:
A. Population statistics
B. Sample statistics
C. Descriptive statistics
D. Inferential statistics
4. In a 500m speed skating race, time results would be considered an example of which level of
measurement?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
5. IQ tests are standardized so that the mean score is 100 for the entire group of people who
take the test. However, if you select a group of 50 who took the test, you probably would
not get 100. What statistical concept explains the difference between the two means?
A. Statistical error
B. Inferential error
C. Residual error
D. Sampling error
6. A researchers studies the factors that determine the number of children future couples
decide to have. The variable ‘number of children’ is a :
A. Discrete variable
B. Continuous variable
C. Categorical variable
D. Ordinal variable
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
7. A teacher asks students to identity their favorite reality television show. What type of
measurement scale do the different television shows make up?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
8. Which of the following statements is correct about the median?
A. The most frequently occurring score in a data set
B. The middle score when results are ranked in order of magnitude
C. The same as the mean
D. The difference between the maximum and minimum scores.
9. The lecture rooms in the library are identified by the letters A to H. A researcher records the
number of classes held in each room during the first semester. What kind of graph would
be appropriate to present the frequency distributions of these data?
A. Histogram
B. Scatterplot
C. Bar chart
D. Box plot
10. A set of scores is presented in a histogram. The histogram shows a series of bars that tend to
decrease in height from left to right. What is the shape of the distribution?
A. Leptokurtic
B. Positively skewed
C. Negativity skewed
D. Normal
11. What is the mean for the following scores: 2, 5, 4, 1, 8?
A. 3
B. 4
C. 5
D. 20
12. What is the median for the following scores: 2, 5, 4, 1, 8?
A. 3.5
B. 4
C. 4.5
D. 7
13. What is the median of the run made by a player in 5 T20 matches, 55,44, 21, 35, 45?
A. 55
C. 45
B. 51
D. 44
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
14. A teacher gave a statistics test to a class of Research students and computed the measures of
central tendency for the test scores. Which of the following statements cannot be an accurate
description of the scores?
A. The majority of students had scores above the mean.
B. The majority of students had scores above the median.
C. The majority of students had scores above the mode.
D. All of the above options (A, B and C) are false statements.
15. Which of the following sets of scores has the greatest variability ( range)?
A. 2, 5, 8, 11
B. 13, 13, 13, 13
C. 20, 25, 26 ,27
D. 42, 43, 44, 45
16. Which of the following statements is the most accurate description for the concept of
standard deviation?
A. The total distance from the smallest score to the highest score.
B. The square root of the total distance from the smallest score to the highest score.
C. The squared average distance between all scores and the mean.
D. The average distance between a score and the mean.
17. What is the variance for the following set of scores: 2, 2, 2, 2, 2.
A. 0
B. 2
C. 4
D. 25
18. What is the standard deviation of the given data sets 7,2,8,11,6,13,16?
A. 4.64
B. 4.34
C. 2.34
D. 3.64
19. Normally distributed data are normally referred to as:
A. Bell-shaped
B. Asymmetrical
C. Skewed
D. Peaked
20. Which of the following is not a measure of central tendency?
A. Mean
C. Range
B. Mode
D. Median
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
21. What is the mean, mode and median of the given sets of data: 5,8,12,17,12,14,6,8, 12, and 10?
A. 11,12,10
B. 10,12,13
C. 11,12,13
D. 10,12,11
22. A population has a mean of μ=35 and a standard deviation of σ=5. After 3 points are added
to every score in the population, what are the new values for the mean and standard
deviation?
A. μ=35 and σ=5
B. μ=35 and σ=8
C. μ=38 and σ=5
D. μ=38 and σ=8
23. What is the variance of the given data set: 3,9,5,6,7?
A. 1
B. 2
C. 3
D. 4
24. Of the following Z-score values, which one represents the location closest to the mean?
A. Z=+0.5
B. Z=+1,0
C. Z=-1.5
D. Z=-0.3
25. If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z-score
for a score of 18?
A. 2
B. 11
C. -2
D. –1.41
26. Which of the following does not belong to the group?
A. Variance
B. Standard Deviation
C. Range
D. Mode
27. A population has a μ=50 and σ=10. If these scores are transformed into z-scores, the
population of z-scores will have a mean and standard deviation of:
A. μ=50 and σ=10
B. μ=50 and σ=1,96
C. μ=1 and σ=0
D. μ=0 and σ=1
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
28. Find the mean deviation according to the Mean of the given data sets 7,47,8,42,47,95,42,96,3
A. 11
C. 112
B. 111
D. 113
29. A, farmer applies different fertilizer to his cotton crops, to see which will make his plants grow
the highest. What is the IV?
A. Growth of Plants
B. Type of Fertilizer
C. Different Cotton Crops
D. Height of Plants
30. A farmer applies different fertilizer to his cotton crops, to see which will make his plants grow
the highest. What is the dependent variable?
A. Growth of Plants
B. Type of Fertilizer
C. Different Cotton Crops
D. Height of Plants
31. I use different types of weed killers on my lawn to see which one kills the most weeds. What is
the DV?
A. Type of Weeds
B. Most Weeds
C. Amount of Weeds Killed
D. Type of Weed Killers
32. I use different types of weed killers on my lawn to see which one kills the most weeds. What is
the IV?
A. Type of Weeds
B. Most Weeds
C. Amount of Weeds Killed
D. Type of Weed Killers
33. In a study about headaches, doctors gave patients Alieve, Tylenol, Advil, and Excedrin, to see
which medication would relieve the headache pain the fastest. The doctors timed how long it
took the medication to work. What is the IV?
A. Amount of Medication
B. Types of Pain Reliever
C. Headaches
D. Amount of time until pains was relieved
34. In a study about headaches, doctors gave patients Alieve, Tylenol, Advil, and Excedrin, to see
which medication would relieve the headache pain the fastest. The doctors timed how long it
took the medication to work. What is the DV?
A. Amount of Medication
B. Types of Pain Reliever
C. Headaches
D. Amount of time until pains was relieved
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
35. To test the safety of a car, crash tests will test different types of cars in collision situations. They
want to determine in which car the crash test dummy receives the least amount of damage.
What is the DV?
A. Amount of Damage to the Car
B. Amount of Collisions
C. Amount of Damage to the Dummy
D. Number of Dummies
36. To test the safety of a car, crash tests will test different types of cars in collision situations. They
want to determine in which car the crash test dummy receives the least amount of damage.
What is the IV?
A. Amount of Damage to the Car
B. Amount of Collisions
C. Amount of Damage to the Dummy
D. Number of Dummies
37. A scientist wanted to determine the color flower that bees are most attracted to. She placed
different colors of the same type of flower near each other and counted the number of bees that
visited each flower color. What is the IV?
A. Color of Flower
B. Type of Bees
C. Number of Bees
D. Type of Flower
38. A scientist wanted to determine the color flower that bees are most attracted to. She placed
different colors of the same type of flower near each other and counted the number of bees that
visited each flower color. What is the DV?
A. Color of Flower
B. Type of Bees
C. Number of Bees
D. Type of Flower
39. In a controlled experiment, the variable that is changed to test the hypothesis is called the
A. controlled variable
B. responding variable
C. dependent variable
D. independent variable
40. A student has a wagon of a certain mass. He plans to investigate how the acceleration
of the wagon changes as the force he exerts on it increases. What is the independent variable in the
investigation?
A. Acceleration of the wagon
B. Force acting on the wagon
C. Mass of the wagon
D. Mass of the student
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
41. What happens to the dependent variable in a controlled experiment?
A. It changes as the independent variable changes.
B. It changes as the responding variable changes.
C. It does not change.
D. It is supported or disproved.
42. In an experiment to find out how the height from which a student drops a ball affects
how high the ball bounces, the independent variable is the –
A. Diameter of the ball
B. Force acting on the ball
C. Height that the ball bounces
D. Height from which the ball is dropped
43. A student wants to conduct an experiment to find out how pulse rate changes as the
length of tine spent exercising increases. What is the dependent variable?
A. Breathing rate
B. Pulse rate
C. Time spent exercising
D. Kind of exercise
44. A student hypothesized that the amount of sunlight a sunflower plant receives
determines the number of sunflower seeds the plant produces. In her experiment, the
number of seeds produces is the –
A. Dependent variable
B. Independent variable
C. Controlled variable
D. Manipulated variable
45. A student is planning an experiment to find out how the height from which he drops a
ball affects how high the ball bounces. The dependent variable is the
A. diameter of the ball
B. force acting on the ball
C. height that the ball bounces
D. height from which the ball is dropped
46. In an experiment studying how increasing amounts of acid rain affect the number of
organisms in a pond, which of the following would be the dependent variable?
A. Number of organisms in pond water
B. Acid rain and non-acid rain
C. Mixture of pond water and acid
D. Organisms in rainwater
47. When are conclusions drawn inn a scientific investigation?
A. After the hypothesis is revised
B. After the results have been communicated to other scientists
C. After data have been interpreted
D. After the hypothesis has been stated
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph
Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF TUGUEGARAO CITY
CAGAYAN NATIONAL HIGH SCHOOL
Bagay Road, San Gabriel, Tuguegarao City
48. An experiment is performed on plants to see how different liquids affect plant growth. Each
plant in the experiment is given a different liquid; water, apple juice, or milk. Each plant has the
same amount of soil, sunlight, and listens to the same music. In this investigation, what is the
independent variable?
A. Type of plant
B. Water, apple juice, milk
C. Plant growth
D. Type of Milk
49. What is the INDEPENDENT variable (cause)in this experiment? "Which type of metal, copper
or aluminum, conducts heat faster?"
A. Size of f metal
B. Types of metal
C. Time it takes to heat up
D. Shape of the metal
50. A science student wants to determine whether the type of extracts of Origanium vulagare
(Crude, Ethanolic, Aqueous) will inhibit most of the P. aeruginosa bacteria in terms os zone of
inhibition. Which of the following is the dependent variable?
A. Specie of Bacteria
B. Origanium Extrcats
C. Method of Extraction
D. Zone of Inhibition
Address: Bagay Road, San Gabriel, Tuguegarao City, 3500
Telephone Nos.: (078) 844-1232; (078) 844-7768
Email Address: cnhs.tuguegarao@deped.gov.ph