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Math 1c (Elementary Statistics) Midterm Examination

Total questions: 50

Worksheet time: 41mins

Name
Class
Date
1.

Which of the following branches of mathematics lets you examine and investigate ways to process and analyze the data gathered?

a)

Algebra

b)

Geometry

c)

Statistics

d)

Trigonometry

2.

The process of drawing a sample from a population is called _________.

a)

sampling

b)

census

c)

survey

d)

research

3.

Which of the following data is continuous?

a)

Toyota Vios sales for the last 3 months

b)

the number of television per household

c)

number of persons in a family

d)

body temperature of 20 patients

4.

Which of the following data is nominal?

a)

courses offered in the university belt

b)

ranking of tennis players

c)

performance rating of students in math

d)

hotel ratings

5.

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 _________.

a)

correlate the result with the schools’ performance level

b)

rank the result of the professional examination

c)

analyzes the effect of review centers on the result of the professional examination

d)

give forecast on the number of passers for the next few years

6.

Complete the analogy: Quantitative: ___________ as Qualitative: __________

a)

Numerical; Categorical

b)

Nominal; Ordinal

c)

Descriptive; Inferential

d)

Discrete; Continuous

7.

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.

a)

I only

b)

I and II only

c)

I and III only

d)

II and III only

8.

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?

a)

Simple Random Sampling

b)

Systematic Sampling

c)

Stratified Sampling

d)

Cluster Sampling

9.

A process of selecting clusters from a population which is very large or widely spread out over a wide geographical area is known as _________.

a)

Simple Random Sampling

b)

Systematic Sampling

c)

Stratified Sampling

d)

Cluster Sampling

10.

Nikki has the given the table for her study. What sampling technique is employed by Nikki in her study?

a)

Simple Random Sampling

b)

Convenience Sampling

c)

Systematic Sampling

d)

Stratified Sampling

11.

How will Nikki obtain the number of samples in each department?

a)

multiply the sample size with respect to each department percentage in reference to the population

b)

divide the sample size with respect to each department percentage in reference to the population

c)

divide the sample size by the number of departments

d)

multiply the sample size by the population of each department

12.

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?

a)

245

b)

387

c)

413

d)

574

13.

What department will give Nikki the greatest number of samples in her study?

a)

Nursing

b)

Accountancy

c)

Management

d)

Education

14.

Which of the following will give a more “accurate” representation of the population from which a sample has been taken?

a)

a small cluster sample

b)

a large sample based on simple random sampling

c)

a small sample based on simple random sampling

d)

a large sample based on purposive sampling

15.

Which of the following is NOT a method of presenting data?

a)

Textual Method

b)

Tabular Method

c)

Graphical Method

d)

Questionnaires

16.

What method of collecting data is used to determine the cause-and-effect relationship of certain phenomena under controlled conditions?

a)

Questionnaire Method

b)

Observation Method

c)

Registration Method

d)

Experiment Method

17.

What does the scale on the left beginning with 0 and ending with 7 represent?

a)

number of students selling candy

b)

number of cases of candy sold

c)

number of candy in each case

d)

number of days each month that candy was sold

18.

Which two months had approximately the same amount of candy sold?

a)

September and February

b)

October and March

c)

November and March

d)

September and December

19.

What was the total amount of candy sold during the school year shown in the graph?

a)

27.5 cases

b)

43 cases

c)

35.5 cases

d)

23 cases

20.

Which of the following does not belong to the group?

a)

Birth Certificate

b)

Death Certificate

c)

Driver’s License

d)

Questionnaire

21.

Which of the following statements below could be represented by the given graph.

a)

This car has excellent acceleration

b)

The price of groceries is still rising

c)

Toyota Vios sales dropped this year

d)

The TV license has been frozen for the next 3 years

22.

In a frequency distribution table, the sum of the frequencies accumulated up to the upper boundary of a class is called _________.

a)

relative frequency

b)

cumulative frequency

c)

percentage

d)

midpoint

23.

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 __________.

a)

class limits

b)

class boundary

c)

relative frequency

d)

cumulative frequency

24.

The point halfway between the class limits of each class and is representative of the data within that class is known as ____________.

a)

Range

b)

Midpoint

c)

Frequency

d)

Interval

25.

What is the upper-class boundary of the modal class?

a)

44.5

b)

45.5

c)

52.5

d)

53.5

26.

What is the interval?

a)

7

b)

8.5

c)

9

d)

9.5

27.

Which class limit has the highest relative frequency?

a)

27 – 35

b)

36 – 44

c)

45 – 53

d)

54 – 62

28.

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?

a)

3, 8, 17, 31, 42, 48, 50

b)

3, 8, 16, 31, 43, 48, 50

c)

3, 8, 14, 32, 43, 49, 50

d)

3, 9, 16, 30, 43, 48, 50

29.

The value of the middle term in a ranked data is called _______

a)

range

b)

mean

c)

median

d)

mode

30.

What is the value of the mode when all values in the data set are different?

a)

0

b)

1

c)

all the values

d)

there is no mode

31.

When the data are categorized as, for example, types of residences (apartment, townhouse, regular house), the most appropriate measure of central tendency is _____

a)

mean

b)

median

c)

mode

d)

midrange

32.

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?

a)

3

b)

6

c)

8

d)

11

33.

Given the graph below, what is the frequency of the median weight?

a)

7

b)

8

c)

12

d)

14

34.

The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine?

a)

18

b)

60

c)

162

d)

540

35.

The mean of 11 numbers is 7. One of the numbers, 13, is deleted. What is the mean of the remaining 10 numbers?

a)

7.7

b)

6.4

c)

6.0

d)

5.8

36.

The measurements of spread or scatter of the individual values around the central point is called ____

a)

measures of dispersion

b)

measures of central tendency

c)

measures of position

d)

measures of variability

37.

In computing the value of the standard deviation, the following formula should be used. What does the variable X represent?

a)

sample mean

b)

frequency

c)

sample size

d)

the value of any particular observations or measurement

38.

The measure of dispersion which considers only two observations is called ______

a)

mean

b)

median

c)

range

d)

coefficient of variation

39.

When the value of the variance in a data set is given, you may calculate the standard deviation by ___________

a)

squaring the value of the variance

b)

extracting the square root of the variance

c)

adding the mean of the data set to the given value of the variance

d)

finding the absolute value of the variance

40.

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.

a)

15.39

b)

13.76

c)

10.56

d)

10.19

41.

Which of the following measures of dispersion is the easiest to compute?

a)

range

b)

mean deviation

c)

variance

d)

standard deviation

42.

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?

a)

592.50

b)

245.37

c)

113.13

d)

105.75

43.

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?

a)

V, I, II, IV, III

b)

III, IV, I, V, II

c)

II, IV, V, I, III

d)

I, V, IV, III, II

44.

When a distribution is divided into a hundred equal parts, each score point that describes the distribution is known as ______

a)

percentile

b)

decile

c)

quartile

d)

median

45.

The frequency of the class containing the median refer to _____

a)

i

b)

LB

c)

cfb

d)

f

46.

The median has the same value with _______

a)

First Quartile

b)

Second Quartile

c)

Third Quartile

d)

Fourth Quartile

47.

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?

a)

7

b)

5.5

c)

6.75

d)

2.75

48.

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?

a)

12

b)

8

c)

10

d)

14

49.

Which of the following is TRUE?

a)

D1 = P10 = Q1

b)

D5 = P50 = Q2

c)

D1 = P1 = Q1

d)

D3 = P70 = Q3

50.

The value of the 75th percentile in a given data is equal to 40.75. Which of the following is TRUE?

a)

75.25% of the data is equal to 40.75

b)

75% of the data is more than 40.75

c)

75% of the data is less than or equal to 40.75

d)

The data that belongs to the lower quartile is equal to 40.75