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http://hench-maths.wikispaces.c
Developed By Graeme Henche
To show how to do some com
operations using Excell
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om
l
on statistical
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Data12
232356
8757568032528229
90438418
922581
9554
3372831689
RANDBETWEENThis function produces a random integer between
For exmple =randbewteen(0,100) will produce a
In order for this function to work you need to haveTo do this go to tools-->addins and select Analy
Pressing F9 will recalculate the random value.The sheet will also recalculate automatically eveunless you turn this off. Do this in the Tools-->O
Generating Ran
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the values you specify
random whole (integer) number between 0 and 100
installed the Analysis Toolpak add insis ToolPak.
ry time you make another entry this can be annoyingtions dialogue box. Select manual calculation
om Numbers
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Unsorted Data Sorted data
76 4
34 449 1487 1538 2670 2695 344 38
50 4254 4942 5065 5389 5479 5467 6315 644 65
89 6764 7063 7226 7614 7954 8726 8953 8972 95
First Highlight the data you want to sort byselecting all the cells
Then use the DATA-->SORT menu to sortan unordered list of data into an ordered list
Data sorted into rank order
Sorting data into Rank order
Talessoi
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he sort function can be used in morevanced ways to sort data into various
vels of order e.g. you might have names,x, age for a group of people and you canrt this data in various orders dependingwhat you consider to be the most
portant or useful way for your purposes
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Sorted data
244 Mean 36.04762
4014 Median 401524 Mode 42626 Minimum 23438 Maximum 63
4249 Range 615050
525354546363
Use the following functions to fin
Mean: =AVERAGE(number1,nu
Median: =MEDIAN(number1,nu
Mode: =MODE(number1,number
Minimum: =min(number1, numbe
Maximum: =max(number1, numb
Click on the yellow cells and exa
to find the Range create a formul
NOTE: The data does not have tworthwhile doing the sort anywa
Mean, Median, Mode, Mini
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mean, median, mode, maximum, minimum
mber2,...) or =AVERAGE(array)
ber2,...) or =MEDIAN(array)
2,...) or =MODE(array)
r2,..) or =min(array)
er2,..) or =max(array)
mine the formulae used for the data set (B4:B24)
a based on range=max-min
o be sorted in rank order for these functions to work. But it is
um, Maximum, Range
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Sorted data2 Minimum 24
1415
242626 Q1 263438424950 Q2 50
505253545465
67 Q3 67707276778995 Maximum 95
The function =QUARTILE(array,quart) can
Examine the yellow cells to see the formulae
Array is the array or cell range of numeric
Quart indicates which value to return.
If quart equals QUARTILE returns0 Minimum value1 First quartile (25th percentile)2 Median value (50th percentile)3 Third quartile (75th percentile)4 Maximum value
Quartiles, Maxim
This information can be used to construct a bfunction to do this. It can however be constru
See the file Box_plot.xls to see how to do this
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be used to find quartile and max min of a set of data.
used
alues for which you want the quartile value.
m, Minimum
ox plot but excell does not have an inbuilt graphingted using drawing objects.
.
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Sorted data Bin Frequency
2 10 34 20 24 30 3
14 40 215 50 424 60 326 70 226 80 1
34 90 138 100 142 Sum 22495050
5254546364808795
SUM 927
A class interval can be determinefound . The FREQUENCY functio
Determine the intervals you want
The frequency function has the fowhere data_array is the data you
However it needs to be entered a
In cell E4 type =frequency(B4:B2Now select all the cells where youNext press F2 (this puts the formThen press CTRL+SHIFT+ENTE
Note the array formulae is surrou
The sum of a set of cells can be calculated in several ways.
Method 1 : is to use the =SUM(array) formulae eg to sum cells b2 to b35
Method 2 : is to use the auto sum button this is on the toolbar next to
Select the cells you want to sum click button and the sum will appear inIf you then look at the formulae it looks the same as method 1 above
Class Interval based Frequency Table
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d and frequency of occurrence of observations within each class intervaln can be used to determine frequencies for given intervals.
to use and create an array. Eg D4:D13 This is called yourbin array
llowing logic =FREQUENCY(Data_array, Bin_array)want to analyse and bin_array is your intervals
s an array formula. This is how you do it.
,D4:D13) then press enter.want the frequencies to be placed i.e. E4:E13
ula in the formula bar)R (this makes an array formulae in your selected cells)
nded by braces { }
se the formulae =sum(b2:b35)
the hyperlink button.
the cell below your list.
NOTE: An easier method for afrequency table is to use theTOOLS-->DATA ANALYSISmethod explained on thefreq+histogram sheet
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Data Bin2 10
4 2014 3015 40
24 5026 6026 7034 8038 9042 1004950
50525354
546567707276
778995
A frequency table and a Histogram can be co
Assuming you have your data you need to deyou can see the class intervals going up by 1
Go to TOOLS-->DATA ANALYSIS and seleThe input range is your raw data. The bin ranbegin to appear. I have put $k$13. Chart ou
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Bin Frequency
10 2
20 230 340 250 4
60 470 380 390 1100 1
More 0
nstructed using the DATA-ANALYSIS functions.
cide on the class intervals you want to use. These are called your bins. In this example0. You need to put these in the spreadsheet somewhere.
t Histogram You can see the data ranges that have been put in for this example.ge are your class intervals. The output range is just a cell where you want the output totput is selected so that a chart is produced as well
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Frequency
Bin
Histogram
F
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requency
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Data Bin Bin Frequency Cumulative %2 10 10 2 8.00%4 20 20 2 16.00%14 30 30 3 28.00%
15 40 40 2 36.00%24 50 50 4 52.00%26 60 60 4 68.00%26 70 70 3 80.00%34 80 80 3 92.00%38 90 90 1 96.00%
42 100 100 1 100.00%49 More 0 100.00%
505052
53
54546567707276778995
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0.00%20.00%40.00%60.00%
80.00%100.00%120.00%
00.5
11.522.5
33.5
44.5
Frequ
ency
Bin
Histogram
Frequency
Cumulative %
Cumulative % table and Chart can be constructed also by using thetools-->data analysis-->histogram function.
Proceeding as before simply check the Cumulative Percentage box to produce the table and graphsas shown
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Data
2 0 2 44 10 4 514 20 4 6 6
15 30 4 824 40 2 926 50 0 0 2 3 4 426 60 5 734 70 0 2 6 738 80 942 90 549
50505253
545465677072
76778995
A simple stem and leaf plot can be
First sort the data
Adjusting Column widths makes fo
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easily constructed.
r a neater appearance
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Function
AVEDEV
AVERAGE
AVERAGEA
BETADIST
BETAINV
BINOMDIST
CHIDIST
CHIINV
CHITEST
CONFIDENCE
CORREL
COUNT
COUNTA
COUNTBLANK
COUNTIF
COVAR
CRITBINOM
DEVSQ
EXPONDIST
FDIST
FINV
FISHER
FISHERINV
FORECAST
FREQUENCY
FTEST
GAMMADIST
Statisti
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GAMMAINV
GAMMALN
GEOMEAN
GROWTH
HARMEAN
HYPGEOMDIST
INTERCEPT
KURT
LARGE
LINEST
LOGEST
LOGINV
LOGNORMDIST
MAX
MAXA
MEDIAN
MIN
MINA
MODE
NEGBINOMDIST
NORMDIST
NORMINVNORMSDIST
NORMSINV
PEARSON
PERCENTILE
PERCENTRANK
PERMUT
POISSON
PROB
QUARTILE
RANK
RSQ
SKEW
SLOPE
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How to do statistical operation using Excel
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SMALL
STANDARDIZE
STDEV
STDEVA
STDEVP
STDEVPA
STEYX
TDIST
TINV
TREND
TRIMMEAN
TTEST
VAR
VARA
VARP
VARPA
WEIBULL
ZTEST
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Description
Returns the average of the absolute deviations of data points from their mean
Returns the average of its arguments
Returns the average of its arguments, including numbers, text, and logical values
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns the correlation coefficient between two data sets
Counts how many numbers are in the list of arguments
Counts how many values are in the list of arguments
Counts the number of blank cells within a range
Counts the number of nonblank cells within a range that meet the given criteria
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the sum of squares of deviations
Returns the exponential distribution
Returns the F probability distribution
Returns the inverse of the F probability distribution
Returns the Fisher transformation
Returns the inverse of the Fisher transformation
Returns a value along a linear trend
Returns a frequency distribution as a vertical array
Returns the result of an F-test
Returns the gamma distribution
cal functions
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Returns the inverse of the gamma cumulative distribution
Returns the natural logarithm of the gamma function, (x)
Returns the geometric mean
Returns values along an exponential trend
Returns the harmonic mean
Returns the hypergeometric distribution
Returns the intercept of the linear regression line
Returns the kurtosis of a data set
Returns the k-th largest value in a data set
Returns the parameters of a linear trend
Returns the parameters of an exponential trend
Returns the inverse of the lognormal distribution
Returns the cumulative lognormal distribution
Returns the maximum value in a list of arguments
Returns the maximum value in a list of arguments, including numbers, text, and logical values
Returns the median of the given numbers
Returns the minimum value in a list of arguments
Returns the smallest value in a list of arguments, including numbers, text, and logical values
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the normal cumulative distribution
Returns the inverse of the normal cumulative distributionReturns the standard normal cumulative distribution
Returns the inverse of the standard normal cumulative distribution
Returns the Pearson product moment correlation coefficient
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the number of permutations for a given number of objects
Returns the Poisson distribution
Returns the probability that values in a range are between two limits
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Returns the square of the Pearson product moment correlation coefficient
Returns the skewness of a distribution
Returns the slope of the linear regression line
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Returns the k-th smallest value in a data set
Returns a normalized value
Estimates standard deviation based on a sample
Estimates standard deviation based on a sample, including numbers, text, and logical values
Calculates standard deviation based on the entire population
Calculates standard deviation based on the entire population, including numbers, text, and logical values
Returns the standard error of the predicted y-value for each x in the regression
Returns the Student's t-distribution
Returns the inverse of the Student's t-distribution
Returns values along a linear trend
Returns the mean of the interior of a data set
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Estimates variance based on a sample, including numbers, text, and logical values
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the Weibull distribution
Returns the one-tailed probability-value of a z-test
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