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Algebra Applications (3.5)

Algebra Applications (3.5). I. Mean, Median and Mode – Measures of Central Tendency. Jenna kept track of the lowest daily temperature (in  F) for a period of 10 days. The following data illustrates her findings. 55, 52, 48, 35, 48, 55, 60, 65, 65, 48. Mean:.

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Algebra Applications (3.5)

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  1. Algebra Applications (3.5)

  2. I. Mean, Median and Mode – Measures of Central Tendency Jenna kept track of the lowest daily temperature (in F) for a period of 10 days. The following data illustrates her findings. 55, 52, 48, 35, 48, 55, 60, 65, 65, 48 Mean: Add up all the data and divide by the number of items. 55 + 52 + 48 + 35 + 48 + 55 + 60 + 65 + 65 + 48 531 = = 53.1 10 10

  3. I. Mean, Median and Mode – Measures of Central Tendency Jenna kept track of the lowest daily temperature (in F) for a period of 10 days. The following data illustrates her findings. 55, 52, 48, 35, 48, 55, 60, 65, 65, 48 median: Order the numbers least to greatest. The median is the number in the MIDDLE. 35 48 48 48 52 55 55 60 65 65 52 + 55 = 53.5 2

  4. I. Mean, Median and Mode – Measures of Central Tendency Jenna kept track of the lowest daily temperature (in F) for a period of 10 days. The following data illustrates her findings. 55, 52, 48, 35, 48, 55, 60, 65, 65, 48 mode: The data that appears the most often. 48

  5. Example: If Jonathan scored a 94 on his first test, an 83 on his second test, a 90 on his third test, and an 88 on his fourth test, what will Jonathan need to score on his fifth test to have an average of 90? Show your work ALGEBRAICALLY. AVERAGE = T1 + T2 + T3 + T4 + T5 Let x = the 5th test score 5 = 94 + 83 + 90 + 88 + x 90 5 90 = 355 + x 90  5 = 355 + x 5 1 450= 355 + x - 355 - 355 95= x

  6. Example: If Jeff has averaged a 200 on six games of bowling, what will he need to bowl on his 7th game to push his average to a 202? AVERAGE = S1 + S2 + S3 + S4 + S5 + S6 + S7 Let x = the 7th bowling score 7 = 200 + 200 + 200 + 200 + 200 + 200 + x 202 7 202 = 1200 + x 202  7 = 1200 + x 7 1 1414= 1200 + x - 1200 - 1200 214= x

  7. II. Key Words that Show Operations Addition + Subtraction ─ Multiplication x Division 

  8. III. Percent Problems Example: 15 is what percent of 48? 15 = x  48 Let x = the percent (in decimal form) 15 = 48x .3125 = x 31.25% = x

  9. III. Percent Problems Example: What percent of 75 is 32? BLANK SLIDE

  10. III. Percent Problems Example: 42% of what number is 112? BLANK SLIDE

  11. IV. Misc. Problems Example: The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold? $ from Student tickets $ from Adult tickets Total $ from Ticket Sales + =

  12. IV. Misc. Problems Example: Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges $60 fee plus $20 per day. For what number of days is the cost the same? Cost of Company A Cost of Company B =

  13. IV. Misc. Problems Example: Victoria weighs as much as Mario. Victoria weighs 125 lb. How much does Mario weigh? BLANK SLIDE

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