Introduction . My project will be about my grades in mathematics for the past twelve years of my school life and I choose some of my grades, however I choose not only the final grades but the monthly tests and the quizzes as well, although I had some bad grades, progressing was one of my achievements and the whole point or we can say my aims from this project was to show my progress and how I was apple to improve my mathematics skills during my school life trying to build up a good future for myself in the future to get accepting in the most universities around the globe as an individual students.

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Body of the project . The Data I collected was from my previous tests results and I took around 25 tests some of the quizzes and final tests as following: 80,40,46,46,21,33,80,50,60,30,46,50,42,33,80,87,60,66,80,24,80,66,24,33,24. Now I need to get the grates width by taking the highest grade and subtract it from the lowest grade and then divide the answer by 7 since we have seven classes: Width> 87-21 / 7 = 9.

42 Width =10 After that I’m going to drew a table to show the lower grates and the upper grade in order to get the frequency, midpoint, Relative frequency and cumulative frequency

Grates of mathematics Lower gratesUpper 2130 3140 4150 5160 6170 7180 8190 The table above it showed how I’m going to get the frequency, midpoint, Relative Frequency and cumulative frequency. Grades (Lower – upper)BoundariesmidpointFrequency Relative frequencyCumulative frequency 21 – 3020. 5 – 30. 525. 550. 25 31 – 4030. 5 – 40. 535. 540. 169 41 – 5040. 5 – 50. 545. 560. 2415 51 – 6050. 5 – 60. 555. 520. 0817 61 – 7060. 5 – 70. 565. 520. 0819 71 – 8070. 5 – 80. 575. 550. 224 81 – 9080. 5 – 90. 585. 510. 0425 N=? F= 25? f r= 1 Boundaries:

So just by looking at the table above we can observe what boundaries are however we it’s just taking half which is equal to 0. 5 from the lower grade and add it to the upper grade. Midpoint: It is the conclusion of take the lower grade and adds it to the upper grade and divide the answer by 2 we get the midpoint. Frequency: We can say in a simple language, how many times has the number rebated in the data given. Relative Frequency: From the name given we can assume what relative frequency is, it’s the first cell or the first number in the frequency divided by the total frequency (? F).

Cumulative Frequency: We take the first cell (first number) then we add the rest and we keep adding. Grade lowerGrade upper Boundaries(x) (f)Relative FrequencyCumulative Frequencyx*f(s)(x-s)(x-s)2F(x-s)2 213020. 5 – 30. 525. 550. 25127. 549. 9-24. 4595. 362976. 8 314030. 5 – 40. 535. 540. 16914249. 9-14. 4207. 36829. 44 415040. 5 – 50. 545. 560. 241527349. 9- 4. 419. 36116. 16 516050. 5 – 60. 555. 520. 081711149. 95. 631. 3662. 72 617060. 5 – 70. 565. 520. 081913149. 915. 6243. 36486. 72 718070. 5 – 80. 575. 550. 224377. 549. 925. 6655. 363276. 8 819080. 5 – 90. 585. 510. 042585. 549. 935. 61267. 361267. 6 Total 25 1 1247. 5 9016 Mean: We can calculate the mean by using this formula: ? (x. f)/n =1247. 5/25 The mean is 49. 9 Median Is the number in the middle but if we couldn’t find a middle number then we add the two numbers and divide them by 2 to get the median: 21,24,24,24,30,33,33,33,40,42,46,46,46,50,50,60,60,66,66,80,80,80,80,80,87 In our case we have two numbers so we add them and divide them by 2 as showing below. The median is 46 Mode: it is the number with the most frequency. X212430334042465060668087 F131311322251 The mode is 80 The curve above it shoes my grades in math and my progress.

However the second curve will show the relationship between Relative frequency and midpoint in order to see the relationship between them. Probability Theory . The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Many events can’t be predicted with total certainty. The best we can do is say how likely they are to happen, using the idea of probability. Example: Tossing a Coin When a coin is tossed, there are two possible outcomes: •heads (H) or •tails (T) We say that the probability of the coin landing H is ?. And the probability of the coin landing T is ?.