## Fancy

As we finished traditional division last week and explored spreadsheets, it seems time to consider the wide world of formulas. To calculate grades individually, we divided the points earned by the points possible. To calculate the average, we added up all of the scores and divided by the amount of tests. Where might you find other data to break down? Tell me a story with real data. Show me your formula to solve. You must have an even amount of data. Your question must end like this: What is the mean, median, mode and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

I entered Mrs. Lynch's math class at the beginning of the year. So far we have had 6 math tests. I received these percentage grades. 95, 89, 72, 80, 65 and 91. What is the mean, median, mode and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

Mean: 82%

95+89+72+80+65+91 = 82
6

Or

(95+89+72+80+65+91)/6 = 82

Median: 84.5%

80+89 = 84.5
2

Or

(80+89)/2 = 84.5

Mode: No data is repeated so there is no mode.

Range: 95-65=30

Outlier: 65 could be an outlier, but there isn't a great deal of data. It is the furthest removed from the rest of the data. And it is the only grade that is a D.

1. Caillou is running for school secretary. He had to get votes from grades k to 5. Each grade had 100 kids. He received the votes 82, 34, 38, 29, 25, and 26. What is the mean, median, mode and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

Mean: 39% of the entire school
(82+34+38+29+25+26)/6=39

Median:31.5
(29+34)/2=31.5

Mode: No data is repeated so there is no mode.

Range: 82-25=57

Outlier: 82 is the outlier because it is the furthest removed from the rest of the data. That grade wanted Caillou as school secretary the most.

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3. Julia is collecting money from 6 schools. She received 97, 68, 54, 49, 32, and 28 from the schools. What is the mean, median, and range? If there is a outlier what is it?

Mean:53% of the schools
(97+68+54+49+32+28)/6=53

Median: 51.5
(54+49)/2=51.5

Mode: There is no mode because none of the data is repeated.

Range:69
(97-28=69)

Outlier: 97 because it is the furthest from the rest of the data.

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5. Dillan has taken 8 ELA tests this year. The scores are 91%, 93%, 89%, 87%, 88%, 100%, 99%, and 97%. What is the mean, median, mode and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

Mean: 93%

91+93+89+87+88+100+99+97= 93%
8

Median: 92

93+91= 92%
2

Mode: N/a (No data is repeated so there is no mode.)

Range: 100-87=13

Outlier: 87 and 100

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7. Emma S. (A.K.A. #1)

Emma has taken six test so far on the test she got 81% 95% 62% 85% 76% and 92% is there a mean median mode and range? What is it?

Mean: 81.5 because 81+95+62+85+76+92 = 491 and 491÷6 = 81 .5

Median: 83 because 85+81 = 166 and 166÷2 = 83

Mode: there is no mode

Range: the range is 33 because 95 minus 62 equals 33

Outlier: 62 is the outlier because 62 is the greatest difference away from any other numbers

8. Mr. Pickles is trying to get into the NBA All Star game in six days. Each day, he got 16, 19, 23, 49, 53, and 74 votes. Try to find the mean, median, mode, range, and outlier if there is one.

Mean: 39% because (16+19+23+49+53+74)/6=39.

Median: 36 because (23+49)/2=36.

Mode: There is no mode because there are no repeated numbers.

Range: 74-16=58.

Outlier: 74 because it is the farthest away from the rest of the numbers.

9. Julia R. has had 5 different book reports. Her 5 scores were 95, 78, 95, 82, and 68. What is the mean, median, mode, and range? Is there an outlier? If so, what is it? When calculating the mean and median, be sure to write out the formula equation.

Mean: 83.6
(95+78+95+82+68)/6=83.6

Median: 80
(82+78)/2=80

Mode: 95

Range: 95-68=27

Outlier: 68 could be the outlier. It is the furthest removed from the rest of the data.

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11. In reading class there are 6 test score of 75 90 84 98 54 94 what is the mean median mode and range

75+90+84+98+54+94=82%
6

Mean 82

Median 82.3

Mode none

Range 14

Outlier 54

12. Kelsey is collecting donations from 4 schools. Each school has about 450 kids. She collects 93,76,72, and 61 from all the schools. What is the mean,median,mode, and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

Mean:75% of the schools donated
(93+76+72+61)/4=75

Median:
(72+61)/2=66.1

Mode:No data is repeated so there is no mode

Range:93-76=17

Outlier:93 because it is furthest away from the rest of the data

13. In Science class I got 89%, 94%, 72%, 88%, 75%, 92% on my tests. What is the mean, median, mode, and range? Is there an outlier? If so what is it? When calcucating the mean and the median, be sure to write out the the formula equation.

Mean: 85%
[89+94+72+88+75+92]/6=85%

Median:88.1
[88+89]/2=88.1

Mode: None

Range:94-72=22

Outlier: 72

14. Jenna is got these scores on her math tests: 91%, 86%, 68%, 98%, 90%, and 83%. She wants to know if there is an outlier, median, mode, mean, and a range. Is there?

91+86+68+98+90+83=516/6=86

Mean: 86%

Median: 91+90=181/2=90.5

Mode: none

Range: 98-68=30

Outlier: 68

15. By Grace

In Ms.Agostino's ELA class we have taken 3 grammar tests and 3 vocabulary tests. I received these grades. 100, 97, 100, 87, 98, 100.
What is the mean, median, mode, and range? Is there an outlier? If so what is it? When calculating your mean and median be sure to write out your formula equation.

Mean: 97%
(100+97+100+87+98+100)/6=97

Median:93.5%
(100+87)/2=93.5

Mode:100
The 100 is repeated 3 times

Range:13
100-87=13

Outlier:87
87 is the outlier because it is the farthest from the rest of the data
-Grace

16. Reagan went to a gymnastics meet. Her scores were 9.35, 9.4, 8.7, and 9.1. What is her average score?

Mean: 9.1375

8.7+9.1+9.35+9.4 = 9.0
4

Or

(8.7+9.1+9.35+9.4)/4 = 9.1375

Median: 9.225

9.1+9.35 = 9.225
2

Or

(9.1+9.35)/2 = 9.225

Mode: No data is repeated so there is no mode.

Range: 9.4-8.7=.7

Outlier: 8.7 could be an outlier, but it is only 4 tenths from 9.1.
-Reagan

17. McGuffin Joe is running for class president. The votes are split among 6 groups. His votes are 96, 87, 72, 92, 89, 85. What is the mean, median, mode, and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation. Organize your numbers by ordering them from least to greatest. 72, 85, 87, 89, 92, and 96.

Mean:86%
(72+85+87+89+91+96)/6=504/6=86

Median:(87+89)/2=176/2=88

Mode: No data is repeated so there is no mode

Range: 96-72=24

Outlier: 72 is the outlier because it is the furthest removed from the rest of the data. That group wanted McGuffin Joe the least.

18. This year I have taken six tests, my scores were 94,94,100,97,90 and 88. What is the mean median mode and range? Is there an outlier? What is it? When calculating mean and median, be sure to write out the formula equation.

Mean: 93.83

94+94+100+97+90+88=93.83
6

Median: 94

94+94=94
2

Mode: 94

Range: 100 - 88 = 12

Outlier: There would be no outlier.

19. This year Bella has taken 6 math tests. She received these percentage grades- 86, 87, 100, 80, 77 and 70. What is the mean, median, mode and range? Is there an outlier? What is it?

Mean: 86.33

(86 + 87 +100 +80 + 77 +70)/6=86.33%

Median: 83%
(80 + 86)/2= 83%

Mode: No data is repeated so there is no mode.

Range: 30
100-70=30

Outlier: 70 could be the outlier because it is the furthest removed from the rest of the data and its a C-.

20. On all 4 of my book reports I have received the grades 86,86,80,90. What is the mean, the median, the mode, and the range? If their is an outlier what is it?

MEAN
86+86+80+90=/6=85.5%

MODE
86 is the mode because it is the only data being repeated.

RANGE
80-90=10
so the range is 10.

OUTLIER
the outlier is 90 because it is the number that is the farthest from the number closest to it.

MEDIAN
86+86=/2=86

21. On my 4 tests, I got a score of 82, 73, 95, and 90. What is the mean, the median, the mode, and the range of my scores? If their is an outlier, what is it?
Mean: 82+73+95+92/4=85%
Median:(82+90)/2=86%
Mode: There is no data repeated so their is no mode.
Range: 95-73=22
Outlier: 73 might be the outlier because it is the farthest from the rest of the data by more than the others.

22. Shreya has 6 different book series. The first series has 32 books. The second has 17 books. The third has 42. The fourth series has 7 books. The fifth series has 33 books and the last series has 67 books. What are the mean, median, mode and range? Is there an outlier? What is it?
Mean: (7+17+32+33+42+67)/6=33
Median: (32+33)/2=32.5
Mode: None
Range: 67-7=60
Outlier: 67 because it is the farthest away.

23. So far in Social Studies class, we have had 6 quizzes. I received these grades, 100,84,95,78,80,and 67. What are the mean, median, mode, range, and outlier?

Mean: 84%

100+84+95+78+80+67= 84
6
Or

(100+84+95+78+80+67)/6 = 84

Median: 82%

84+80 = 82%
2
Or

(84+80)/2 = 82

Mode: No data is repeated so there is no mode.

Range: 100-67=33

Outlier: 67 could be an outlier, but there isn't a great deal of data. It is the furthest removed from the rest of the data. And it is the only grade that is a D.

24. Elpaso entered an art contest he entered 6 paintings. The scores were 65,69,95,78,90 and 87 what is the average. What is the mean, the median, the outlier, mode and the range?

Mean 81.5%

65+69+95+78+90+87=81.5
6

Or

(65+69+95+78+90+87)/6=81.5

Median

78+87=82.5
2

Or

(78+87)/2=82.5

Mode no data is repeated ,so there is no mode

Range 95-65=30

95 is the outlier

25. I have take 6 math tests so far this year in mrs.Lynch’s math class. My test grades were 69,77,81,83,97 and 100.What is the mean, median, mode and range? Is there an outlier? What is it? When calculating the mean and median, be sure to write out the formula equation.

MEAN: 69+77+81+83+97+100=75%
6

MEDIAN:81+83=82
2
MODE:There is no repeated data so there is no mode.

RANGE: 100-69=31

OUTLIER: 69 could be an outlier but there is not a lot a data and its close together.
JULES

26. Illuminate has had 4 social studies test. Illuminate’s scores were 92,64,42,and 84. What is the Mean,Median,Mode and Range? If there is an Outlier what is it?

Mean:70.5
92+64+42+84 = 70.5
4
Median: 74
64+84 = 74
2

Mode: There is no mode because no data is repeated. :)

Range: 92-42 = 50

Outlier: The outlier is 42 because it's the furthest away from the others and it's the only grade that's a BIG FAT F. :C