Free Printable PSQ Training Session 3

1.

Median, mode, deciles and percentiles are all considered as measures of _____.

a)

mathematical averages

b)

sample averages

c)

population averages

d)

averages of position

2.

In two units of company, employees in unit one are 650 and monthly salary is $2,750, employees in unit two are 700 and monthly salary is $2,500 then combined arithmetic mean is _____.

a)

$2,620

b)

$2,420

c)

$2,520

d)

$2,320

3.

If most repeated observations recorded are outliers of data then mode is considered as _____.

a)

intended measure

b)

best measure

c)

percentage measure

d)

poor measure

4.

Number of observations are 30 and value of arithmetic mean is 15 then sum of all values is _____.

a)

15

b)

45

c)

200

d)

450

5.

The value of Σfx is180, A = 22, and width of class interval is 5, arithmetic mean is 120 then observations are _____.

a)

30

b)

39

c)

49.5

d)

59

6.

The value of Σfx is 300, A = 35,number of observations are 15 and width of class interval is 5 then arithmetic mean is _____.

a)

135

b)

145

c)

150

d)

235

7.

Quartiles, median, percentiles and deciles are measures of central tendency classified as _____.

a)

central averages

b)

deviation averages

c)

paired averages

d)

positioned averages

8.

Considering probability distribution, if mode is greater than median then distribution is classified as _____.

a)

constant model

b)

left skewed

c)

right skewed

d)

variable model

9.

The frequency distribution whose most values are dispersed to left or right of mode is classified as _____.

a)

Binomial

b)

Explored

c)

Skewed

d)

Unimodal

10.

If arithmetic mean is 25 and harmonic mean is 15 then geometric mean is _____.

a)

15.36

b)

16.36

c)

17.36

d)

19.36

11.

If central tendency is found by using whole population as input data then this is classified _____.

a)

population parameters

b)

population statistic

c)

Population parameters

d)

Sample statistic

12.

The criteria of inferential statistics which considers sum of squared deviations is classified as _____.

a)

central squares criterion

b)

least squares criterion

c)

multiple squares criterion

d)

outliers square criterion

13.

In a negative skewed distribution, order of mean, median and mode is as _____.

a)

mean < median > mode

b)

mean < median < mode

c)

mean > median > mode

d)

mean > median < mode

14.

The measure which describes detailed characteristic of whole data set is classified as _____.

a)

central value

b)

negative skewed value

c)

positive extended value

d)

positive skewed value

15.

In arithmetic mean, sum of deviation of all recorded observations must always be _____.

a)

Negative one

b)

Zero

c)

One

d)

Two

16.

The distribution whose outlier are higher value is considered as _____.

a)

constant model

b)

left skewed

c)

right skewed

d)

variable model

17.

The distribution whose outlier are higher value is considered as _____.

a)

constant model

b)

left skewed

c)

right skewed

d)

variable model

18.

In quartiles, central tendency median to be measured must lie in _____.

a)

first quartile

b)

second quartile

c)

third quartile

d)

fourth quartile

19.

In quartile, central tendency median to be measured must lie in _____.

a)

first quartile

b)

second quartile

c)

third quartile

d)

fourth quartile

20.

The arithmetic mean is 12 and the number of observations are 20, then the sum of all values is _____.

a)

1.667

b)

8

c)

32

d)

240

21.

At a grocery store, the number of per day sold processed fruits cans in 15 days are 50, 70, 60, 40, 30, 20, 5, 150, 55, 75, 65, 45, 35, 25, 52, then outliers in observations are _____.

a)

5, 150

b)

25, 70

c)

50, 150

d)

150

22.

The measure of central tendency which represents over time multiplicative effects for inflation and compound interest is considered a _____.

a)

deviation square mean

b)

geometric mean

c)

harmonic mean

d)

paired mean

23.

Around central value of observations, extent to which values depart from normal distribution is classified as _____.

a)

negative variation

b)

positive variation

c)

positive trailing

d)

skewness

24.

Product W has per unit contribution of 8 with sold quantity of 124 units, product X has per unit contribution of 5 with sold quantity of 105 units, product Y has per unit contribution of 9 with sold quantity of 135 units, product Z has per unit contribution of 12 with sold quantity of 140 units then weighted average mean is _____.

a)

$11.75

b)

$10.75

c)

$9.75

d)

$8.75

25.

In measure of central tendency, population parameter is denoted by _____.

a)

μ

b)

$\overline{x}$

c)

σ

d)

$s^2$

26.

Type of central tendency measures which divides data set into 100 equal parts is classified as _____.

a)

deciles

b)

percentiles

c)

quartiles

d)

median

27.

If the value of three measures of central tendencies median, mean and mode then distribution is considered as _____.

a)

bimodal

b)

negatively skewed modal

c)

triangular model

d)

unimodal

28.

Product A has a per unit contribution of 6 with sold quantity of 120 units, product B has per unit contribution of 8 with sold quantity of 100 units and product C has per unit contribution of 10 with sold quantity of 130 units then weighted average mean is _____.

a)

$7.06

b)

$8.06

c)

$9.06

d)

$10.06

29.

The concept used in calculation of index numbers and where smaller observations must be taken into consideration is called _____.

a)

deviation square mean

b)

geometric mean

c)

paired mean

d)

harmonic mean

30.

If arithmetic mean is 20 and harmonic mean is 30 then geometric mean is _____.

a)

14.94

b)

24.94

c)

34.94

d)

44.94

31.

33, 25, 42, 25, 31, 37, 46, 29, 38

What is the third quartile (Upper Quartile) of the data using Mendenhall and Sincich method?

a)

37

b)

38

c)

40

d)

46

32.

What is the upper quartile of the data using Linear Interpolation?

3.9, 4.1, 4.2, 4.3, 4.3, 4.4, 4.6

a)

4.175

b)

4.275

c)

4.375

d)

4.5

e)

none of these

33.

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

a)

They're the same, both 62 inches.

b)

Anna, she's taller than more people.

c)

Brother, he's taller than more people.

d)

You can't tell if you don't know the mean and standard deviation.

34.

Yes FM 101.1 station has a low number of listeners. 75% of all country stations in the Philippines have more listeners than this station.

---

Let the data set "L" consist of the number of listeners for each country station in the Philippines. Which of the following is a true statement about the Yes FM 101.1 station's position in L?

a)

It is between the 2nd and the 3rd deciles

b)

It is below the 2nd decile

c)

It is between the 7th and the 8th deciles

d)

It is above the 8th decile

35.

Quntiles divide a data set into five regions. Which of the following is a true statement about quintiles?

a)

Each region contains about 20% of the data

b)

Each region contains about 25% of the data

c)

Each region contains about 5% of the data

d)

Each region contains about 50% of the data

36.

Jenny scored at the 99th percentile on a test. How should be interpret this information?

a)

Jenny scored better than 99% of people who took this test

b)

Jenny scored worse than 99% of people who took this test

c)

Jenny got 99% of the questions on the test right

d)

Jenny got 99% of questions on the test wrong

37.

What is the median of this set of score?
$1,\ 2,\ 5,\ 6,\ 8,\ 8,\ 9,\ 12,\ 15$

a)

6

b)

8

c)

9

d)

none of these

38.

This fractile divides the set into 4 equal parts.

a)

Median

b)

Quartile

c)

Quantile

d)

Decile

e)

Percentile

39.

What is the median height (in cm) of the following:
140, 148, 150, 152, 155, 157, 159, 160, 161, 164, 165, 166

a)

157 cm

b)

158 cm

c)

159 cm

d)

none of these

40.

Find the upper and lower quartile respectively of the following scores using Mendenhall and Sincich method.
$1,\ 3,\ 7,\ 7,\ 16,\ 21,\ 27,\ 30,\ 31$

a)

7 and 27

b)

5 and 28.5

c)

7 and 30

d)

none of these

41.

Erika Embang receives a salary in the 7^th decile. Should she pleased with her salary? explain.

a)

Yes, because most of the employees receive the salary less than or equal than hers.

b)

No, because the salary is not sufficient to her needs.

c)

Yes, because only 30% of the employees receiving salary greater than hers.

d)

No, because 50% of the employees are receiving the salary as hers.

42.

Using the distribution table, find the total frequency.

a)

50

b)

80

c)

90

d)

100

43.

Using the table, how many students whose height is less than or equal to 1.74 meters?

a)

25

b)

33

c)

63

d)

81

44.

From the given table, what is the lower boundary of the median class?

a)

1.845

b)

1.745

c)

1.645

d)

1.545

45.

If Abby has a percentile rank of 40, what is her height using the given table?

a)

1.53 meters

b)

1.66 meters

c)

1.75 meters

d)

1.83 meters

46.

Approximately how tall is Faye if her height equals the 3^rd decile? ^{*Refer to the given table}

a)

1.63 meters

b)

1.66 meters

c)

1.75 meters

d)

1.87 meters

47.

What is decile rank of Gwen if her height is 1.80 meters? ^{*Refer to the given table}

a)

2

b)

4

c)

6

d)

8

48.

Using the table, the scores on a summative examination are presented below in decreasing order of magnitude. A score of 63 is approximately equivalent to a percentile rank of ______.

a)

20

b)

25

c)

63

d)

82

49.

In an 80-item test, the passing mark is the 3^rd quartile. What does it imply?

a)

The students should answer at least 60 items correctly.

b)

The students should answer at least 40 items correctly.

c)

The students should answer at most 60 items correctly.

d)

The students should answer at most 40 items correctly.

50.

If a student discovers that his grade on a recent test was the 72^nd percentile. If 90 students took the test, then approximately how many students received a higher grade than he did?

a)

72

b)

62

c)

25

d)

18

51.

How would you describe this distribution?

a)

Left skewed

b)

Uniform

c)

Right Skewed

d)

Symmetrical

52.

a)

uniform

b)

symmetric

c)

skewed to the left

d)

skewed to the right

53.

What is the overall shape of the graph?

a)

Approximately Symmetrical

b)

Skewed left

c)

Skewed right

54.

Describe the shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

55.

Describe the shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

56.

Describe the shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

57.

A way to describe the shape of a data display that indicates most of the data is on one side of the display.

a)

symmetric

b)

unimodal

c)

skewed

d)

uniform

58.

Describing the shape of a data set that is a mirror image one both sides of the center point.

a)

symmetric

b)

unimodal

c)

skewed

d)

uniform

59.

What is the shape of this data?

a)

symmetric

b)

skewed right

c)

skewed left

d)

uniform

60.

What is the shape of this bar graph?

a)

Skew right

b)

Skew left

c)

Symmetrical

d)

uniform

61.

What is the shape of this data?

a)

uniform

b)

skewed left

c)

skewed right

d)

symmetric

62.

Describe the shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

63.

Describe the histogram:

a)

Left Skewed

b)

Normal/Symmetrical

c)

Right Skewed

d)

Uniform/Flat

64.

Describe the shape of Daniel's data

a)

skewed left

b)

skewed right

c)

symmetrical

65.

The following dot plot is

a)

skewed left

b)

skewed right

c)

symmetrical

66.

Determine the distribution of a data set with a mean = 2.5, Median = 3.5, and a Mode = 5

a)

Symmetrical

b)

Skewed left

c)

Skewed right

d)

Uniformed

67.

Determine the distribution of the data set that has a mean = 6, a median = 5.5, and a mode of 5.

a)

Symmetrical

b)

Skewed left

c)

Skewed ight

d)

Uniform

68.

Determine the distribution of the data set that has a mean = 10, median = 10, and a mode = 10

a)

Symmetrical

b)

Skewed left

c)

Skewed right

d)

Uniform

69.

Determine the skewness of the data set below:

1, 2, 2, 3, 3, 3, 4, 4, 5

a)

Symetrical

b)

Skewed left

c)

Skewed right

d)

Uniform

70.

Determine the skewness of the data set below:

5, 6, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10

a)

Symmetric

b)

Skewed left

c)

Skewed right

d)

Uniform

71.

31. What is the class width of the given FDT?

a)

9

b)

8

c)

7

d)

6

72.

32. What is the total frequency of the given FDT?

a)

92

b)

93

c)

94

d)

95

73.

36. How many students have scores that are not higher than 74?

a)

20

b)

32

c)

61

d)

81

74.

37. What percentage of the students had an average score of 50?

a)

12%

b)

12.90%

c)

18%

d)

19.35%

75.

33. What is the cummulative frequency of the 5th row?

a)

93

b)

88

c)

81

d)

61

76.

34. What is the relative frequency of the highest frequency?

a)

0.24

b)

0.22

c)

0.20

d)

0.19

77.

39. What is the classmark with the relative frequency of 9.68%?

a)

71

b)

64

c)

57

d)

43

78.

39. What is the classmark with the highest frequency?

a)

85

b)

71

c)

64

d)

57

79.

15. Given $x_{1\ }=274,\ x_{2\ }=235,\ x_{3\ }=223,\ x_{4\ }=268,\ x_{5\ }=290,\ x_{6\ }=285,\$

$and\ x_{7\ }=235$ . Find $\sum_{ }^{ }\ x$

a)

1,810

b)

1,536

c)

1,525

d)

1,520

80.

16. Given $x_{1\ }=274,\ x_{2\ }=235,\ x_{3\ }=223,\ x_{4\ }=268,\ x_{5\ }=290,\ x_{6\ }=285,\$

$and\ x_{7\ }=235$ . Find $\sum_{ }^{ }\ x^2-1000$

a)

3,273,100

b)

3,274,100

c)

3,275,100

d)

3,276,100

81.

This summation is the same as which series?

a)

1 + 2 + 3 + 4 + 5 + 6

b)

(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)

c)

(1 - 2) + (6 - 2)

d)

(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)

82.

Calculate the final sum/total of the series.

a)

6

b)

21

c)

9

d)

2

83.

Is this summation finite or infinite?

a)

Finite, because there are only 6 terms to add up.

b)

Infinite, because there are an infinite number of terms to add up.

84.

The summation is the same as which series?

a)

(4+10) + (4+20) + (4+30) + (4+40) + (4+50) + (4+60) + (4+70) + (4+80) + (4+90) + (4+100) + (4+110)

b)

1+2+3+4+5+6+7+8+9+10+11

c)

4 + 110

d)

4 + 10

85.

Which of the following measure of central tendency can be used for ordinal variables?

a)

Range

b)

Mean

c)

Median

d)

Mode

86.

The result of a survey shows 15 were 10s, 20 were 5s, and 30 were 20s. What is the mean?

a)

24.28

b)

16.67

c)

13.08

d)

141.67

87.

The life of car batteries (in years) was obtained by manufacturing company and the following information were taken: 3.4, 1.8, 2.1, 3.5, 4.0, 2.4, 2.7, 3.2, 3.6 and 4.2. What is the median?

a)

5.50

b)

3.30

c)

3.20

d)

3.10

88.

How do you classify the mode of the given set: 25, 30, 18, 18, 27, 15, 15, 30?

a)

No mode

b)

Unimodal

c)

Bimodal

d)

Trimodal

89.

Find the interquartile range score.

a)

92.75

b)

92.50

c)

92.25

d)

92.00

90.

What is the range?

a)

65

b)

64

c)

63

d)

61

91.

What is the sample variance?

a)

393.46

b)

393.47

c)

393.48

d)

393.49

92.

Find the sample standard deviation.

a)

19.34

b)

19.54

c)

19.84

d)

19.94

93.

Given the population size and margin of error, determine the sample size.

1. N = 40 000 e = 10%

a)

90

b)

100

c)

110

d)

120

94.

2. Given the population size and margin of error, determine the sample size.

N = 15 000 e = 5%

a)

370

b)

380

c)

390

d)

400

95.

3. Given the population size and margin of error, determine the sample size.

N = 20 000 e = 2%

a)

5,555

b)

4,444

c)

3,333

d)

2,222

96.

Given the date below, what is the value of N?

a)

30

b)

40

c)

50

d)

60

97.

Find the mean.

a)

10

b)

20

c)

30

d)

40

98.

$Md=L\ +\left(\frac{\frac{n}{2}-<cF}{f}\right)i$

Find the median. Using the formula above.

a)

32.6

b)

56.9

c)

66.51

d)

68.10

99.

$Mode=L\ +\ \left(\frac{d_1}{d_1+d_2}\right)i$

Find the mode using the formula above.

a)

35.18

b)

33.12

c)

25.66

d)

22.71

100.

If mode is the most frequent of a set of data, in which class does the modal class belongs?

a)

16-19

b)

20-23

c)

24-27

d)

44-47

PSQ Training Session 3

Total questions: 100

Worksheet time: 3hrs 45mins

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