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WorksheetsMath 1c (Elementary Statistics) Midterm Examination
Total questions: 50
Worksheet time: 41mins
Which of the following branches of mathematics lets you examine and investigate ways to process and analyze the data gathered?
Algebra
Geometry
Statistics
Trigonometry
The process of drawing a sample from a population is called _________.
sampling
census
survey
research
Which of the following data is continuous?
Toyota Vios sales for the last 3 months
the number of television per household
number of persons in a family
body temperature of 20 patients
Which of the following data is nominal?
courses offered in the university belt
ranking of tennis players
performance rating of students in math
hotel ratings
After conducting the Certified Public Accountants professional examination in 2018, the Philippine Regulation Commission (PRC) obtained the result. If you will utilize the data in a study employing descriptive statistics, you may _________.
correlate the result with the schools’ performance level
rank the result of the professional examination
analyzes the effect of review centers on the result of the professional examination
give forecast on the number of passers for the next few years
Complete the analogy: Quantitative: ___________ as Qualitative: __________
Numerical; Categorical
Nominal; Ordinal
Descriptive; Inferential
Discrete; Continuous
Which of the following statements is/are true?
I. Quantitative variables can be continuous variables.
II. Qualitative variables can be discrete variables.
III. Discrete variables are those that can be counted.
I only
I and II only
I and III only
II and III only
What sampling technique refers to the process of selecting a kth element in the population until the desired number of subjects or respondents is attained?
Simple Random Sampling
Systematic Sampling
Stratified Sampling
Cluster Sampling
A process of selecting clusters from a population which is very large or widely spread out over a wide geographical area is known as _________.
Simple Random Sampling
Systematic Sampling
Stratified Sampling
Cluster Sampling
Nikki has the given the table for her study. What sampling technique is employed by Nikki in her study?
Simple Random Sampling
Convenience Sampling
Systematic Sampling
Stratified Sampling
How will Nikki obtain the number of samples in each department?
multiply the sample size with respect to each department percentage in reference to the population
divide the sample size with respect to each department percentage in reference to the population
divide the sample size by the number of departments
multiply the sample size by the population of each department
Nikki conducted a study on the relationship of sleeping time and academic performance of college students in CMU. Using the Slovin formula, how many samples does Nikki need?
245
387
413
574
What department will give Nikki the greatest number of samples in her study?
Nursing
Accountancy
Management
Education
Which of the following will give a more “accurate” representation of the population from which a sample has been taken?
a small cluster sample
a large sample based on simple random sampling
a small sample based on simple random sampling
a large sample based on purposive sampling
Which of the following is NOT a method of presenting data?
Textual Method
Tabular Method
Graphical Method
Questionnaires
What method of collecting data is used to determine the cause-and-effect relationship of certain phenomena under controlled conditions?
Questionnaire Method
Observation Method
Registration Method
Experiment Method
What does the scale on the left beginning with 0 and ending with 7 represent?
number of students selling candy
number of cases of candy sold
number of candy in each case
number of days each month that candy was sold
Which two months had approximately the same amount of candy sold?
September and February
October and March
November and March
September and December
What was the total amount of candy sold during the school year shown in the graph?
27.5 cases
43 cases
35.5 cases
23 cases
Which of the following does not belong to the group?
Birth Certificate
Death Certificate
Driver’s License
Questionnaire
Which of the following statements below could be represented by the given graph.
This car has excellent acceleration
The price of groceries is still rising
Toyota Vios sales dropped this year
The TV license has been frozen for the next 3 years
In a frequency distribution table, the sum of the frequencies accumulated up to the upper boundary of a class is called _________.
relative frequency
cumulative frequency
percentage
midpoint
In a frequency distribution table, the value obtained when the frequencies in each class of the frequency distribution is divided by the total number of values is called __________.
class limits
class boundary
relative frequency
cumulative frequency
The point halfway between the class limits of each class and is representative of the data within that class is known as ____________.
Range
Midpoint
Frequency
Interval
What is the upper-class boundary of the modal class?
44.5
45.5
52.5
53.5
What is the interval?
7
8.5
9
9.5
Which class limit has the highest relative frequency?
27 – 35
36 – 44
45 – 53
54 – 62
If you were to construct the frequency distribution table and input values for the cumulative frequency column, which set and series of values will be observed?
3, 8, 17, 31, 42, 48, 50
3, 8, 16, 31, 43, 48, 50
3, 8, 14, 32, 43, 49, 50
3, 9, 16, 30, 43, 48, 50
The value of the middle term in a ranked data is called _______
range
mean
median
mode
What is the value of the mode when all values in the data set are different?
0
1
all the values
there is no mode
When the data are categorized as, for example, types of residences (apartment, townhouse, regular house), the most appropriate measure of central tendency is _____
mean
median
mode
midrange
The following scores were obtained by twelve footballers in a goal-shoot competition:
5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 2, and 4.
What is the modal score?
3
6
8
11
Given the graph below, what is the frequency of the median weight?
7
8
12
14
The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine?
18
60
162
540
The mean of 11 numbers is 7. One of the numbers, 13, is deleted. What is the mean of the remaining 10 numbers?
7.7
6.4
6.0
5.8
The measurements of spread or scatter of the individual values around the central point is called ____
measures of dispersion
measures of central tendency
measures of position
measures of variability
In computing the value of the standard deviation, the following formula should be used. What does the variable X represent?
sample mean
frequency
sample size
the value of any particular observations or measurement
The measure of dispersion which considers only two observations is called ______
mean
median
range
coefficient of variation
When the value of the variance in a data set is given, you may calculate the standard deviation by ___________
squaring the value of the variance
extracting the square root of the variance
adding the mean of the data set to the given value of the variance
finding the absolute value of the variance
The supervisor of a fast-food restaurant selected several receipts at random. The amounts spent (in pesos) by customers were 75, 60, 65, 62, 80, 83, 89, and 78. Find the standard deviation.
15.39
13.76
10.56
10.19
Which of the following measures of dispersion is the easiest to compute?
range
mean deviation
variance
standard deviation
The daily rates (in Pesos) of a sample of eight employees at BST Manufacturing Company are 550, 420, 560, 500, 700, 670, 860, and 480. What is the mean deviation?
592.50
245.37
113.13
105.75
To find the mean deviation of grouped data, a series of steps should be followed.
I. Get the absolute values of (X – mean)
II. Solve the mean deviation
III. Compute the mean of the frequency distribution
IV. Subtract the mean from each of the value in the data set
V. Obtain the product of the frequency and (X – mean), then add.
Which of the following is the correct sequence of the steps above?
V, I, II, IV, III
III, IV, I, V, II
II, IV, V, I, III
I, V, IV, III, II
When a distribution is divided into a hundred equal parts, each score point that describes the distribution is known as ______
percentile
decile
quartile
median
The frequency of the class containing the median refer to _____
i
LB
cfb
f
The median has the same value with _______
First Quartile
Second Quartile
Third Quartile
Fourth Quartile
Given the following scores of 10 students in a Business Statistics quiz:
12, 4, 10, 11, 15, 7, 8, 9, 14, 6
Using Linear Interpolation, what is the value of the first quartile?
7
5.5
6.75
2.75
Given the following ages of 10 customers in a convenience store:
19, 12, 8, 7, 10, 18, 14, 15, 17, 20
Using Mendenhall and Sincich method, what is the value of the 2nd decile?
12
8
10
14
Which of the following is TRUE?
D1 = P10 = Q1
D5 = P50 = Q2
D1 = P1 = Q1
D3 = P70 = Q3
The value of the 75th percentile in a given data is equal to 40.75. Which of the following is TRUE?
75.25% of the data is equal to 40.75
75% of the data is more than 40.75
75% of the data is less than or equal to 40.75
The data that belongs to the lower quartile is equal to 40.75
