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MATHEMATICS 5
Suppose in a given week, the number of
persons who rode the Vikings was
recorded as follows:
1,187, 1,205, 1,196, 1,212, 1,192, 2,202,
and 2,194. What was the average
number of persons who rode per day
during the given week?
SIMPLE AVERAGE
The resulting number when the sum of a set of
numbers is divided by the number of addends;
also called the arithmetic mean.
𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑎 𝑠𝑒𝑡 𝑜𝑓 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑎𝑑𝑑𝑒𝑛𝑑𝑠
Suppose in a given week, the number of persons who
rode the Vikings was recorded as follows:
1,187, 1,205, 1,196, 1,212, 1,192, 2,202, and 2,194. What
was the average number of persons who rode per day
during the given week?
𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
1,187 + 1,205 + 1,196 + 1,212 + 1,192
+2,202 + 2,194
7
𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
1,187 + 1,205 + 1,196 + 1,212 + 1,192
+2,202 + 2,194
7
𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
10,388
7
𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 1,484
John scored 85 marks in English, 96 in
Mathematics, 92 in science and 82 in history.
What is John’s average score?
REPORT CARD
Subjects Units
Second
Quarter
English 1.5 94
Filipino 1 93
Araling
Panlipunan
1 99
Science 1 98
Mathematics 2 95
WEIGHTED AVERAGE
The resulting number when the sum of the products of
each number in a set and the number’s corresponding
weight is divided by the sum of the weights.
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑛𝑢𝑚𝑏𝑒𝑟𝑠
𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑢𝑛𝑖𝑡𝑠
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
94 𝑥 1.5 + 93 𝑥 1 + 99 𝑥 1
+ 98 𝑥 1 + (95 𝑥 2)
1.5 + 1 + 1 + 1 + 2
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
141 + 93 + 99 + 98 + 190
6.5
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 =
621
6.6
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 95.538

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Math 5-1.pptx

  • 2. Suppose in a given week, the number of persons who rode the Vikings was recorded as follows: 1,187, 1,205, 1,196, 1,212, 1,192, 2,202, and 2,194. What was the average number of persons who rode per day during the given week?
  • 3. SIMPLE AVERAGE The resulting number when the sum of a set of numbers is divided by the number of addends; also called the arithmetic mean. 𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑎 𝑠𝑒𝑡 𝑜𝑓 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑎𝑑𝑑𝑒𝑛𝑑𝑠
  • 4. Suppose in a given week, the number of persons who rode the Vikings was recorded as follows: 1,187, 1,205, 1,196, 1,212, 1,192, 2,202, and 2,194. What was the average number of persons who rode per day during the given week? 𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 1,187 + 1,205 + 1,196 + 1,212 + 1,192 +2,202 + 2,194 7
  • 5. 𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 1,187 + 1,205 + 1,196 + 1,212 + 1,192 +2,202 + 2,194 7 𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 10,388 7 𝑆𝑖𝑚𝑝𝑙𝑒 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 1,484
  • 6. John scored 85 marks in English, 96 in Mathematics, 92 in science and 82 in history. What is John’s average score?
  • 7. REPORT CARD Subjects Units Second Quarter English 1.5 94 Filipino 1 93 Araling Panlipunan 1 99 Science 1 98 Mathematics 2 95
  • 8. WEIGHTED AVERAGE The resulting number when the sum of the products of each number in a set and the number’s corresponding weight is divided by the sum of the weights. 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑢𝑛𝑖𝑡𝑠
  • 9. 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 94 𝑥 1.5 + 93 𝑥 1 + 99 𝑥 1 + 98 𝑥 1 + (95 𝑥 2) 1.5 + 1 + 1 + 1 + 2 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 141 + 93 + 99 + 98 + 190 6.5 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 621 6.6 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 = 95.538

Editor's Notes

  1. 180
  2. 88.75
  3. 88.75
  4. 180