Mathematics

Measures of Central Tendency of Ungrouped data

Facilitators:

Poll

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Open Ended

Arrange the data in ascending order.

Open Ended

Get the Average of the given data.

Open Ended

Find the middle number/d

Open Ended

Which number appeared the most?

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www.youtube.com/watch?v=QzcgSCmWcVo

​Watch the video clips about calculating the mean, median, and mode of certain data.​

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Open Ended

What do you think is the measures of central tendency all about?

Open Ended

What are the measurement shown in the video?

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 How will you describe the results shown in the video?

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 What is the formula in finding those measures?

Fill in the Blanks

The following data is the result of a particular study on the ages of recipients of Ph.D. degrees in science and engineering.

37 37 24 28 43 44 36 41 33 27

FIND THE MEAN.

Fill in the Blanks

 Seven mothers were chosen and their blood pressures were taken. The following are their systolic pressures.

135 121 119 116 121 131 130 121 131

FIND THE MEDIAN

Fill in the Blanks

 1. Eight novels were randomly selected and the numbers of pages were recorded as follows:

415, 398, 402,  400,  420, 415, 407, 425

FIND THE MEDIAN.

Fill in the Blanks

The sizes of 15 classes selected at random are:

40 39 42 48 45 46 42 49 43 42 41 44 38 42 47

FIND THE MODE

​A. Directions: UNGROUPED DATA:  Arrange in Ascending order and calculates the mean, median, and mode/s of each of the following sets of data. choose the correct answer.

Multiple Choice

1. 5, 6, 6, 4, 8

• a. mean = 5

  median = 5.6

  mode = 6

• b. mean = 4

  median = 5.5

  mode = 6

• c. mean = 5

  median = 5.5

  mode = 6

• a. mean = 5

  median = 6

  mode = 5

Multiple Choice

1. 3, 5, 6, 7, 4

• a. mean = 4

  median = 4.5

  mode = none

• b. mean = 4.13

  median = 5.5

  mode = 0

• c. mean = 4.33

  median = 5.5

  mode = none

• b. mean = 5

  median = 4.5

  mode =

Multiple Choice

1. 1, 3, 2, 5, 9, 1, 7, 6, 6, 8

• a. mean = 4.45

  median = 9

  mode = 1, 6

• mean = 4.55

  median = 9

  mode = 1

• mean = 4.45

  median = 10

  mode = 1, 6

• mean = 4.55

  median = 8

  mode = 1

Multiple Choice

1. 5, 6, 0, 6, 8, 2, 9, 4, 6, 8, 2, 3

• a. mean = 4.45

  median = 9

  mode = 1, 6

• mean = 4.62

  median = 2

  mode = 1

• mean = 4.45

  median = 10

  mode = 1, 6

• mean = 4.55

  median = 8

  mode = 1

Multiple Choice

10, 10, 12, 14, 15, 9, 13, 13, 12

• a. mean = 12

  median = 12

  mode = 10, 12, and 13

• mean = 11

  median = 12

  mode = 10 and 13

• mean = 12

  median = 10

  mode = 13

• mean = 11

  median = 10

  mode = 10 and 12

Multiple Choice

2, 2, 4, 5, 9, 8, 7, 5, 3, 1, 2, 1, 1

• a. mean = 3

  median = 4

  mode = 1

• mean = 3.14

  median = 3

  mode = 2 and 5

• mean = 3.87

  median = 4

  mode = 1 and 2

• mean = 3.87

  median = 3

  mode = 1, 2 and 5

Multiple Choice

11, 5,  5, 5, 6, 2, 12, 9, 3

• a. mean = 6.43

  median = 5

  mode = 6

• mean = 6.44

  median = 5

  mode = 5

• mean = 6.44

  median = 4

  mode = 5

• mean = 6.43

  median = 4

  mode = 6

Multiple Choice

8, 7, 9, 10, 8, 6, 5, 4, 3

• a. mean = 6.65

  median = 7

  mode = 10

• mean = 6.67

  median = 7

  mode = 8

• mean = 6.44

  median = 8

  mode = 5

• mean = 6.43

  median = 4

  mode = 6

Multiple Choice

16, 24,18, 23, 29, 8, 24, 25, 12

• a. mean = 19

  median = 24

  mode = 23

• mean = 19.86

  median = 24

  mode = 24

• mean = 19.89

  median = 23

  mode = 24

• mean = 19.66

  median = 23

  mode = 24

Multiple Choice

84, 85, 84, 89, 87, 87, 86, 82, 88,84, 87, 87

• a. mean = 85.83

  median = 86.5

  mode = 87 and 84

• mean = 85

  median = 86

  mode = 84

• mean = 85.83

  median = 86.4

  mode = 87 and 84

• mean = 85.38

  median = 86

  mode = 84