Progressive Mathematics Worksheets on Basic Competencies
12. Measures of Central Tendency 12.1 Mean of Ungrouped Data
Mark: ______/ 6
Find the mean of each of the following sets of data. Correct the answer to 2 decimal places if necessary. (Qn.1 – 4)
1. 14 , 16 , 10 , 11 , 13 , 14
2. 62 , 47 , 97 , 36 , 42 , 15
3. 1 , –1 , –2 , 0 , 2 , 1
4. 1.5 , –1.5 , –2.5 , 3.5 , –2.5 , –1.5
Find the mean of each of the following sets of data (Qn.5 – 6)
5. / Data / 1 / 2 / 3 / 4Frequency / 8 / 7 / 10 / 5
6. / Data / 10 / 12 / 15 / 17 / 20 / 23
Frequency / 3 / 5 / 10 / 15 / 15 / 12
12. Measures of Central Tendency 12.2 Mean of Grouped Data
Mark: ______/ 4
Find the mean of each of the following sets of data. Correct the answer to 2 decimal places if necessary. (Qn.1 – 4)
1. / Data / 11 – 15 / 16 – 20 / 21 – 25 / 26 – 30 / 31 – 35Frequency / 6 / 8 / 11 / 9 / 6
2. / Data / 26 – 30 / 31 – 35 / 36 – 40 / 41 – 45 / 46 – 50
Frequency / 30 / 40 / 65 / 45 / 20
3. / Data / 11 – 20 / 21 – 30 / 31 – 40 / 41 – 50 / 51 – 60
Frequency / 5 / 14 / 17 / 8 / 6
4. / Data / 101 – 110 / 111 – 120 / 121 – 130 / 131 – 140 / 141 – 150
Frequency / 40 / 55 / 75 / 65 / 45
12. Measures of Central Tendency 12.3 Median of Ungrouped Data
Mark: ______/ 6
Find the median of each of the following sets of data. (Qn. 1 – 6)
1. 16 , 16 , 17 , 18 , 19 , 20 , 20 , 22
2. 51 , 52 , 52 , 53 , 55 , 57 , 63
3. 26 , 21 , 22 , 22 , 24 , 19 , 20
4. 34 , 30 , 31 , 32 , 30 , 28 , 28 , 30
5. / Data / 3 / 5 / 7 / 9 / 10Frequency / 2 / 3 / 6 / 4 / 5
6. / Data / 15 / 17 / 20 / 27 / 32
Frequency / 6 / 9 / 10 / 11 / 9
12. Measures of Central Tendency 12.4 Median of Grouped Data
Mark: ______/ 2
1. The following cumulative frequency polygon shows the scores of 40 students in a Chinese test.
Scores of 40 students in a Chinese test
Score
Find the median score. (Correct the answer to the nearest integer.)
2. The following cumulative frequency polygon shows the heights of 50 students.
Heights of 50 students
Find the median height. (Correct the answer to the nearest integer.)
12. Measures of Central Tendency 12.5 Mode of Ungrouped Data
Mark: ______/ 6
Find the mode of each of the following sets of data. (Qn. 1 – 4)
1. 6 , 7 , 6 , 8 , 8 , 8 , 9 , 7 , 8 , 9
2. 36 , 37 , 39 , 37 , 36 , 37 , 38 , 37 , 36 , 40
3. 184 , 160 , 164 , 164 , 165 , 186 , 146 , 164
4. 241 , 246 , 247 , 248 , 249 , 240 , 246 , 242 , 245 , 247 , 247
5. Find the mode of the following set of data.
Data / 21 / 22 / 28 / 29 / 31Frequency / 1 / 5 / 8 / 4 / 2
6. The following table shows the ages of 40 students.
Age / 14 / 15 / 16 / 17 / 18Frequency / 9 / 17 / 6 / 4 / 4
Find the mode of ages of the students.
12. Measures of Central Tendency 12.6 Mode of Grouped Data
Mark: ______/ 5
Find the modal class in each of the following distribution. (Qn. 1 – 5)
1. / Data / 1 – 5 / 6 – 10 / 11 – 15 / 16 – 20 / 21 – 25Frequency / 3 / 9 / 15 / 6 / 2
Modal class: ______
2. / Data / 51 – 60 / 61 – 70 / 71 – 80 / 81 – 90 / 91 – 100Frequency / 7 / 12 / 11 / 8 / 2
Modal class: ______
3. / Data / 11 – 20 / 21 – 30 / 31 – 40 / 41 – 50 / 51 – 60Frequency / 6 / 14 / 17 / 8 / 5
Modal class: ______
4. / Data / 121 – 130 / 131 – 140 / 141 – 150 / 151 – 160 / 161 – 170Frequency / 4 / 9 / 14 / 16 / 8
Modal class: ______
5. / Data / 2 – 4 / 5 – 7 / 8 – 10 / 11 – 13 / 14 – 16Frequency / 10 / 7 / 5 / 6 / 2
Modal class: ______