Allele Frequencies as Stochastic Processes: Mathematical & Statistical Approaches.
Curs 03-04 Mathematical and Statistical Functions
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Transcript of Curs 03-04 Mathematical and Statistical Functions
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Creating Formulas and Performing Data AnalUsing the Built-in Functions in Excel Worksheet
=Function_nameargument!" argument#" $ argumen
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sis
#&
'(!)(#*!)
#
#&
') lei
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Sales Report
+an Fe, ar A.r ay /ct 0o1
Product! 23 )3 #3!* &344 43** )3** 23##
Product# #35! 4355 #3)5 &322 432) '366 #35!
Product& #355 53!# &3 &366 )34# #3)2 #355
Product' '3&) 63!' &32* '3#! 23#5 '3!! '3&)
Product4 63'4 2322 &344 '3'& 53*' #35! )3
Product!4 '3#& 235! )3)) '3&) '3!! )3** 4355
Product!) 234) 636* )366 63'4 43!4 #35! )366
Product!2 4344 23!& 23 235! 4355 #355 23
Product!5 &3 &3!* '325 43!4 #34& 535* !#3*&
Product!6 4344 43'' 23!* 4355 &3!* 4355 &3!*
Product#* &344 23'4 )356 43** 43'' 43** 43''
of monthly
=SUMargument!" argument
#
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Dec
235*
)3
4355
53!#
63!'
63'4
535*
634)
4344
&3)4
5355
of
sales/product
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athematical functions
Delivery date Quantity Price
Product! &(!#(#*!' &* kg 5)3** lei
Product# &(!#(#*!' #4 kg '43&) lei
Product& &(6(#*!' )2 kg 2'366 lei
Product' &(2(#*!' 4# kg &'36* lei
Product4 &(2(#*!' #' kg 65366 lei
Product) &(2(#*!' !#4 kg 243** lei
TOTAL AMOUT!
1) """
2) #$%&'(')
3) &$%**(+,
4) """
5))())
!7***
'
*
Productname
-PRODU.Tnum,er!
" num,er#
$%
-SUMPRODU.Tcell8range!"cell8range
#%
=SUM0criteria8range1 criteria1 9sum8range:%
-SUM0Ssum8range1 criteria8range!1 criteria
11
=SUM0F4;F!*"5000
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0um,er of the >rst ticket of .artici.ation 4
0um,er of the last ticket of .artici.ation *))
?he Winner ticket 5)+
Apply a format with gray fill color for the
table cells that belong to even rows
A..ly a format ith gray >ll color forthe ta,le cells that ,elong to odd
columns
-RAD63T233minimum 1alue1 maximum 1
a inner7 at random3
A..ly a chess7type format ith gray >ll color for the ra
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Err:501
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9alue
#745*3** lei
!7!&'3** lei
47*#'3&& lei
!75!'35* lei
#7&2432) lei
67&243** lei
""" ##$5)5('% ##$5)5('%
!7***
'
!
riteria8range#" criteria2" $ criteria8range
n"
4;F!*"
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=A0DBE?WEE0E4#"E4&% =A0DBE?WEE0!"4**%
lue%
ge 6,&!8+, e1en ros odd column / odd ro e1en colu
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mn%
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ounding functions
Date of hiring
A.ril 27 #**2 """ % years % years
!#
!!
ice of rounded ,$#'4 lei
4** )74** lei )74** lei )7*** lei
!7*** )7*** lei 27*** lei )7*** lei
#7*** )7*** lei 57*** lei )7*** lei
'7*** 57*** lei 57*** lei '7*** lei
47*** 47*** lei !*7*** lei 47*** lei
Product! 4)322 lei 4)322 lei
ength of
ser1ice
ength of ser1ice
ROUD%
ength of
ser1ice T%
=ROUDnum,er of rounded" decimal pl
=Tnum,er of rounded%
=TRU.num,er of rounded" 9num_digits
=MROUDnum,er of rounded" multiple of rounding%
=.3L8num,er of rounded" multiple of rounding%
=0LOORnum,er of rounded" multiple of rounding%
Multiple ofroundin:
oun eprice
MROUD
Rounded price.3L8
Roundedprice 0LOOR
MROUD function in a nested conditional structure;
Productname
Price ofrounded
oun eprice
MROUD
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Product# 22)3** lei 25*3** lei
Product& !7#4*3** lei !7&**3** lei
Product' #&7&5#3&5 lei Err;4*!
ound the .rice to a .articular multi.le of rounding de.
hen the .rice is ,elo the order of hundreds7 the rounding o.erati
hen the .rice exceeds thousands 1alues7 the rounding o.eration
"""
-&
-&
&
&
for hundreds 1alues7 the rounding o.eration ill ,e .erformed to a
for thousands 1alues7 the rounding o.eration ill ,e .erformed to a
=ROUDDO2num,er of rounded" +/- positional co
=ROUDUPnum,er of rounded" +/- positional consta
Price of rounded ;Positionalconstant
ounding don to three .ositional 1 integer part of
numerical
constantounding u. to three .ositional 1alu
ounding don to three .ositional 1 decimal part of
numericalconstantounding u. to three .ositional 1alu
ound don the .rice to the positional value 37 knoing that the rou
ound u. the .rice to the positional value 37 knoing that the roundi
ound don the .rice to the positional value 37 knoing that the rou
ound u. the .rice to the positional value 37 knoing that the roundi
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% years
!!
!!
!#43642& !#4!#4
!#436)
!#4364
4)322 5
ength of
ser1iceTRU.%
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2
nding on its order of si@e7 as follos;
n ont ,e held7 so the .rice remains unchangea,le"
ill ,e .erformed to a multi.le of !3*** lei3
ounded num,er
4#$)))())))=/U0DD/W0GCG')"-&%
45$)))())))=/U0DUPGCG')"-&%
4#$5&*(4#5)=/U0DD/W0GCG')"&%
4#$5&*(4#&)=/U0DUPGCG')"&%
ulti.le of !* lei"
multi.le of !** lei"
ding o.eration is carried out at the integer part of the num,er3
g o.eration is carried out at the integer part of the num,er3
ding o.eration is carried out at the decimal part of the num,er3
g o.eration is carried out at the decimal part of the num,er3
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Sales a:ent
+anuary Dinu Bogdan !7&5* lei
Fe,ruary Ha1u Diana '7#** lei
arch Po.a Anca !7!*4 lei
arch Ha1u Diana 27!** lei
arch Coman i1iu '7'** lei
arch Ha1u Diana '756* lei
A.ril Coman i1iu !7)4* lei
ay Po.a Anca #7##4 lei
+une Dinu Bogdan &7*** lei
+une Dinu Bogdan 67!** lei
+une Dumitru Ana 27222 lei
M !7!*4 lei
MA< 67!** lei
A93RA83 '7#42 lei
AVERAGEIF!7))4 lei
!7&25 lei
)7*4* lei
AVERAGEIFS !752# lei
IDJK(*L
Month ofdistri=ution
o aamount of
=MD&;D!&%
=MA
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.OUT *
.OUTA !!
.OUT6LA> *
.OUT0 &
.OUT0S 1
BOdescu Ana !* 5 2 6
Po.o1ici Dan 2 ) & 5
=COUNTIF(criteria_range; criteria)
=COUNTIFS(criteria_range1; criteria
1; [criteria_range
2; crit
=.OUTC&;C!&%
=.OUTAC&;C!&%
=.OUT6LA> D&;
=.OUT0B&;B!&7<
=.OUT0SB&;B!&
Dis.lay the student status at the end of exam session7 de.e.assed; if the student has .assed all his exams7 the mestudent has failed at least an exam7 the status of student ill
Studentame 0inancialAccountin:
ce
6usinessApplication
0inancial
Mathematics
conom c
and0inancial
=IF(COUNTIF(C44:G44;"
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Student Code
345 2 #VALUE!
162 5 What-if all the 1alues a..ear onl189 7 1
243 5 2
85 5 3
71 6 4
574 5 5
2 5 6
598 6 #VALUE!
441 4151 5
71 3
312 7
44 10
71 5
24 6
591 6505 4
78 3
246 5
165 5
477 9
483 5
*
Employee Name Branch Department Age Date of hiring
Office
Business
Applications
rade that
arises mostoften
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!"!#$%& 'iorel octor eli* %re+itare ,- years ./0Apr01.34A3 %armen tefan cel are %re+itare 25 years ./0ay02..!"!A lorin tefan cel are %orpora6ii 5. years 270ec01-A89& %onstan6a octor eli* %re+itare // years 2,0eb02..5 :##8%& ihai tefan cel are "ficil & 9og+an !levnei %re+itare 2, years 120ec02..-
A893?#> "ana !levnei %re+itare ,1 years 1@0"ct01/'8A !etr tefan cel are "ficil #A 8ara tefan cel are %re+itare 5. years .0Apr01,SAVU C ă t ălin tefan cel are Asigrri ,. years 2.0ar02...!A:A3? %ornel tefan cel are Asigrri 51 years 1.0"ct01-2COMAN Aura tefan cel are Asigrri 2 years 120ec02..@98ABA +lina !levnei %orpora6ii 2, years 170an02..34A3 in octor eli* %re+itare 25 years [email protected]#& :atalia tefan cel are %orpora6ii , years .20eb01-@BA:#A !avel tefan cel are %re+itare /1 years ./0ay02..$">#$%& 8iana !levnei >ela6ii clien6i 2@ years 210Apr02..1!#?># %ristina octor eli* >ela6ii clien6i ,2 years 1-0Apr01,C:#$%& An+a tefan cel are %orpora6ii 2 years .,0Apr02..@
'3A: Ale*an+ra !levnei "ficil
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a.. y ng
A..ly a conditional format to the em.loyee ho gets the hi A..l
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&%
; [criteria_range2; criteria
2] )
&"
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6 integralist student
)non-integralist student
ria2] ...)
D!&%
une
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What-if more 1alues a..ear of the same num,er of timesQ3
7
2
7
9
3
3
Base salaryLength ofservice
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2@ years /D/5. lei@ years 2D5@. lei
2@ years 1D.5 lei11 years 2D--5 lei- years 1D5 lei7 years 2D.5 lei
22 years 2D/5. lei25 years 2D@7. lei2@ years 2D55. lei22 years /D/5. lei1@ years 3,975 lei// years 2D.. lei years 1,5 lei7 years 2D.. lei- years /D.. lei
/. years 2D,, lei@ years 1D@. lei
1, years /D--5 lei22 years 2D@7. lei1. years 2D155 lei
1@ years 2D-.. lei
ing age grou.s;
- se functions return a 1alue hich is rankedion you s.ecify as second argument7 in aorder of 1alues hen a..lying the SMALL r in ascending order of 1alues hen
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unc on 3
a conditional format to the em.loyee ho gets the lowest salary3