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LONG QUIZ (Measures of Position)

Total questions: 35

Worksheet time: 42mins

Name
Class
Date
1.

Which of the following is referred to as the values that divide the distribution into four equal parts?

a)

Deciles

b)

Median

c)

Percentiles

d)

Quartiles

2.

Which of the following is equivalent to the median value?

a)

1st decile

b)

3rd decile     

c)

5th decile

d)

7th decile

3.

Which of the following is equivalent to the lower quartile?

a)

25th percentile

b)

50th percentile

c)

1st decile

d)

3rd quartile

4.

Which of the following measures are equal?

a)

P30 = Q3

b)

P2 = D2

c)

P20 = D2

d)

Q1 = D5

5.

Which of the following is NOT equivalent to 25% of the distribution of data?

a)

D2.5

b)

Q1

c)

P25

d)

D4

6.

Below shows the results of an election for the Supreme Student Government for President:

Candidates

Tose, Aira - 320

Gaas, Maliver - 300

Limbaga, Lorenzo - 350

Eijansantos, Eloiza - 280

Ingkoh, Ayessa - 340

​ ​ ​ ​ ​ ​ Write the number of votes in ascending order. Use the space provided for your answer.

7.

Below shows the results of an election for the Supreme Student Government for President:

Candidates

Tose, Aira - 320

Gaas, Maliver - 300

Limbaga, Lorenzo - 350

Eijansantos, Eloiza - 280

Ingkoh, Ayessa - 340

What is the middle value?

a)

300

b)

320

c)

340

d)

350

8.

Below shows the results of an election for the Supreme Student Government for President:

Candidates

Tose, Aira - 320

Gaas, Maliver - 300

Limbaga, Lorenzo - 350

Eijansantos, Eloiza - 280

Ingkoh, Ayessa - 340

What is the lower quartile?

a)

280

b)

285

c)

290

d)

300

9.

Below shows the results of an election for the Supreme Student Government for President:

Candidates

Tose, Aira - 320

Gaas, Maliver - 300

Limbaga, Lorenzo - 350

Eijansantos, Eloiza - 280

Ingkoh, Ayessa - 340

What is the upper quartile?

a)

345

b)

346.5

c)

347

d)

349.5

10.

Below shows the results of an election for the Supreme Student Government for President:

Candidates

Tose, Aira - 320

Gaas, Maliver - 300

Limbaga, Lorenzo - 350

Eijansantos, Eloiza - 280

Ingkoh, Ayessa - 340

What is the quartile deviation?

a)

27.25

b)

27.5

c)

27.75

d)

28.5

11.
a)

162.5

b)

163

c)

163.5

d)

154

12.

How many of the values are below the median height?

a)

3

b)

4

c)

5

d)

6

13.

Which of the following is referred to as the difference between the first and the third quartiles?

a)

Median Deviation

b)

Interquartile Range

c)

Quartile Deviation

d)

Median Range

14.

1.    The median of the age of Math teachers in a certain school is known to be 30. What does this mean?

a)

The middlemost age of the group is 30

b)

All the math teachers are 30 years old

c)

Most of the math teachers are 30 years old

d)

A. The arithmetic average of Math teachers is 30

15.

1.    Lani is the 55th tallest student in a group of 100. How many percent of the students are shorter than Lani?

a)

95

b)

75

c)

55

d)

45

16.

1.    The lower quartile of a data set is the 5th value. How many data values are there in the data set?

a)

9

b)

19

c)

20

d)

23

17.

Christelle’s salary in a company is in the 8th decile. What does this mean?

a)

80% of the employees’ salary in the company is greater than her.

b)

80% of the employees’ salary in the company is lower than her.

c)

80% of the employees’ salary in the company is equal to hers.

d)

A. 80% of the salary of the company is hers.

18.

The first decile of the weight of 300 Grade 10 students in a certain school is 50 kg. Which of the following statements is true?

a)

Most of the Grade 10 students weigh below 50 kg

b)

10% of the Grade 10 students weigh less than or equal to 50kg

c)

Thirty Grade 10 students weigh less than 50 kg

d)

10% of the Grade 10 students weigh 50 kg or more

19.

Jonie’s score in a 50-item test was the median score. What is his percentile rank?

a)

25th

b)

30th

c)

50th

d)

75th

20.

Which of the following is referred to as the values that divide the distribution into hundred equal parts?

a)

Deciles

b)

Median

c)

Percentiles

d)

Quartiles

21.

Using linear interpolation, what is the lower quartile of the given data?

a)

18.7

b)

19

c)

21.5

d)

22.5

22.

What is the upper quartile of the given data using linear interpolation?

a)

41.5

b)

42.2

c)

42.25

d)

42.5

23.

What is the interquartile range of the given data?

a)

21.20

b)

23.20

c)

23.25

d)

24

24.

What are the number of calls which are above 75% of the given data?

a)

38, 40, 49, 54

b)

40, 49, 54

c)

49, 54

d)

54

25.

How many of the given data are below the 25% of the given data?

a)

3

b)

2

c)

1

d)

none

26.

In a 60-item test, Raisa got a score of 48 which is the 85th percentile. This implies that:

a)

Her score is equivalent to 85%.

b)

Her score is higher than 15% of his classmates.

c)

85% of the class failed the test.

d)

85% of her classmates got scores of 48 or below.

27.

What is the 50th percentile metabolic age?

a)

36

b)

36.5

c)

37

d)

37.5

28.

What is the 7th decile metabolic age?

a)

43

b)

44.1

c)

44.9

d)

45.2

29.

Using linear interpolation, what is the 34th percentile metabolic age?

a)

34.42

b)

36.21

c)

37.92

d)

8.61

30.

In a class of 40, Roy ranks 30th in the class. What is his percentile rank?

a)

10

b)

25

c)

75

d)

90

31.

In a 200-item test, the passing mark is the 3rd quartile. What does it imply?

a)

The students should answer at least 100 items correctly in order to pass the test.

b)

The students should answer at least 150 items correctly in order to pass the test.

c)

The students should answer at most 100 items correctly in order to pass the test.

d)

The students should answer at most 150 items correctly in order to pass the test.

32.

Jewel got a score of 80, which is equivalent to the class 60th percentile rank in a Statistics test. Which of the following is NOT true?

a)

She surpassed 60% of her classmates.

b)

If the passing mark is the 3rd decile, she failed the test.

c)

Forty percent of the class got scores of at least 80.

d)

Her score is below the median.

33.

The passing mark of a particular test is the 7.5th decile. Jonjon belongs to the 80th percentile, Greg to 70th percentile, while Laura to the 3rd quartile. Who among the three passed the exam?

a)

Jonjon and Greg

b)

Jonjon and Laura

c)

Greg and Laura

d)

All of them

34.

Compute for the 77th percentile using linear interpolation to the nearest whole number. (3 points)

4 lines
35.

What is the interquartile range? (10 points)

4 lines