# math !

using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range.20, 22, 25, 28, 29, 30, 32, 33, 34 ?

NEED HELP !

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1. N= # of data = 9
C.I= class interval= (R/K)
Note : K= 1 + 3.322 log (N)
R= highest # - lowest #
C.I = (34-20)/(1 + 3.322 log (9))
C.I = 3.357(used whole #) = 4
C.B = class boundary
CF = cumulative frequency
f(frequency)= data inside the C.I
DATA TABLE
C.I C.B f <C.f
20-24 19.5-24.5 2 2
25-29 24.5-29.5 3 5
30-34 29.5-34.5 4 9

Q1= lower quartile
Q3 = highest quartile
IQR = interquartile range

I= 25-20= 5(CONSTANT)
NOTE: Lb,F,fm will vary at clue

Q1=Lb + ( (1N/4)-F / fm )(I)
Clue :1(N)/4 =9/4 =2.25(greater 2)

So I will look the Lb,F,fm align at 5 <cf ( look at table )

Lb=can be found at lower C.B= 24.5
F =lower of 5 (>c.f) =2(>cf) = 2
Fm = its frequency align = 3

Q1 =24.5 +( (9/4)-2 / 3 )×(5)
Q1 = 24.9167

Q3 = Lb + ( (3N/4)-F / fm)×(I)
Clue :(3N/4) = ((3×9)/ 4 )= 6.75

So Lb, F, fm is align at 9 (> cf)
Lb = 29.5
F = lower of 9 (>cf) = 5
Fm = 4

Q3 =29.5 +( ((3×9)/4)-5)/4 )×(5)
Q3 = 31.6875

I.Q.R = (Q3-Q1)/2 = 3.3854

Lowet quartile = 24.9167
Hghest quartile = 31.6875
IQR = 3.3854

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2. Or used other method using Percentile method
Q1 = 25%
Q3 = 75%

ARRANGE FIRST THE DATA TO LOWEST TO HIGHEST .
1. 2. 3. 4. 5. 6. 7. 8. 9
20 22 25 28 28 30 32 33 34

For Q1
N=9 P = 25
Note: if C is greater than whole # round off to the next highest #.
C1= (N x P)/100 = 2.25 = 3
So then
Q1 = 25

C3 = (9× 75 )/100 = 6.75 = 7
Q3 = 32

IQR = (Q3-Q1)/2 = (32-25)/2 = 3.5

Lowest quartile = 25
Highest quartile = 32
IQR = 3.5

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3. my head will start bleeding after this

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4. Say what?!?!?🤯

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5. I am lost.😳

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6. I am in sixth grade not college

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7. Same

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8. So which one

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9. Same here

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10. Who else tried coping and pasting

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11. Brainly.com let you copy and paste

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12. WHAT THE HECK IS THIS?! IM IN 6TH GRADE, not college or the smartest school in the world

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13. Aight' let's do this.

Step 1. Normally, the first thing you would do would be to organize the numbers from least to greatest. But that's already done. Find the median of the numbers. In this case, that would be 29 since it's in the middle.

Step 2. For the lower quartile, add 22 and 25 together to get 47. Divide 47 by 2 to get 23.5.

To get the upper quartile, add 32 and 33 together to get 65. Divide 65 by two to get 32.5.

I dont know the rest

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14. What is the interquartile range??

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15. helllpppp
this is hell!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

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16. Why cant people just say the exact answer without confusing us

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17. The inter quartile range is the middle so the answer is 29

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