Measure of Position (Grouped data)

Grouped vs Ungrouped

100

Ungrouped data is also called?

Raw Data

200

When we assemble raw data into a number of classes, the resultant data is the _______.

Grouped data

300

A is a mere list of numbers or data

Ungrouped data

400

In grouped data, we convert frequency into a class group called a class ______.

interval

500

What is the difference between grouped and ungrouped data?

Ungrouped data or raw data is a mere list of numbers that does not convey anything. On the other hand, grouped data refers to the data which is bundled together in different classes or categories.

FDT

100

To organize a large number of data, we have to organize and group these data in to classes through the ________________________.

Frequency distribution table

200

What are the parts of a Frequency Distribution Table?

Class interval, frequency, Lower boundaries, and less than cumulative frequency.

300

How to obtain the Lower boundaries?

Subtract the interval limits to 0.5

400

Enumerate the values of the Lower Boundaries.

Scores      Frequency

46-50             4

41-45             8

36-40            11

31-35             9

26-30            12

21-25             6

LB

45.5

40.5

35.5

30.5

25.5

20.5

500

Enumerate the values of the Lower Boundaries.

Scores      Frequency

46-50             4

41-45             8

36-40            11

31-35             9

26-30            12

21-25             6

<cf

50

46

38

27

18

6

Quartile

100

Quartiles are those values that divide the total frequency into _____ equal parts.

4 or Four

200

What is the formula to solve for the quartile of grouped data?

Qk=LB+((kN/4-cfb)/f_Qk )i

300

What is your Q3 class, if N = 50?

37.5

400

Find Q3: Enumerate the given if Q3 class = 37.5

Scores      Frequency      LB       <cf

46-50             4           45.5       50

41-45             8           40.5       46

36-40            11          35.5       38

31-35             9           30.5       27

26-30            12          25.5       18

21-25             6           20.5        6

Given:

LB = 35.5

N = 50

cfb = 27

fQ3 = 11

i = 5

500

What is Q3?

Given:

LB = 35.5

N = 50

cfb = 27

fQ3 = 11

i = 5

Q3 = 40.27

Decile

100

What is the formula to solve for the decile of grouped data?

Dk=LB+((kN/10-cfb)/f_Dk )i

200

What is the formula to get Dk class?

Dk = kN/10

300

What is your D7 class, if N = 50?

D7 class = 35

400

Find D7: Enumerate the given if D7 class = 35

Scores      Frequency      LB       <cf

46-50             4           45.5       50

41-45             8           40.5       46

36-40            11          35.5       38

31-35             9           30.5       27

26-30            12          25.5       18

21-25             6           20.5        6

Given:

LB = 35.5

N = 50

cfb = 27

fD7 = 11

i = 5

500

What is D7?

Given:

LB = 35.5

N = 50

cfb = 27

fD7 = 11

i = 5

D7 = 39.14

Percentile

100

Percentile are those values that divide the total frequency into _____ equal parts.

100

200

What is the formula to solve for the Percentile of grouped data?

Pk=LB+((kN/100-cfb)/f_Pk )i

300

What is your P65 class, if N = 50?

P65 class = 32.5

400

Find P65: Enumerate the given if P65 class = 32.5

Scores      Frequency      LB       <cf

46-50             4           45.5       50

41-45             8           40.5       46

36-40            11          35.5       38

31-35             9           30.5       27

26-30            12          25.5       18

21-25             6           20.5        6

Given: 

LB = 35.5

N = 50

cfb = 27

fP65 = 11

i = 5

500

What is D7?

Given: 

LB = 35.5

N = 50

cfb = 27

fP65 = 11

i = 5

P65 = 38