# Visual Basic for Applications/Get Array Data Stats

## Summary

This VBA code module is intended for MS Excel, since it prints a basic set of statistics onto the worksheet. It assumes that there is well behaved numerical data in a 1D array as an input. A frequency distribution is produced and associated statistics for the set.

## Notes on the code

• Copy the entire code listing into an Excel Standard module, save it, then run the top procedure.

## VBA Code MOdule

```Option Explicit
Option Base 1 'important

Private Sub testMakeBinsAndStatsFromArray()
'Run this to test making of frequency
'distribution and stats from arrays
'THIS SUB CLEARS AND WRITES TO SHEET1

Dim vArr As Variant, vBins As Variant

'load a typical 1D data array
vArr = Array(0, 0.125, 1, 5, 5, 23, 5.1, 5, 10, 10.05, 15, 15.01, 7.3, 16, 15, 0, 3)

'load a typical 1D interval array
'numbers are upper-limit-inclusive,
'from previous-limit-exclusive
vBins = Array(5, 10, 15, 20)

BinStatsOfArrayData vArr, vBins, "Test"

'report end
MsgBox "Display done."

End Sub

Private Sub BinStatsOfArrayData(vI As Variant, vB As Variant, Optional sLabel As String = "")
'Gets the basic stats for a 1D array of numbers.
'Bin width is provided by an array in vB.
'Results to the worksheet. Displays frequency
'distribution, average, median, mode, minimum,
'maximum, standard deviation, and variance.
'THIS SUB CLEARS AND WRITES TO SHEET1

Dim vR As Variant, vD As Variant
Dim n As Long, bOK As Boolean
Dim LB As Long, UB As Long, LBI As Long, UBI As Long

LBI = LBound(vI, 1): UBI = UBound(vI, 1)

bOK = FreqDist(vI, vB, vR)

LB = LBound(vR, 1): UB = UBound(vR, 1)
ReDim vD(LB To UB + 12, 1 To 3)

If bOK Then 'load a display array
vD(1, 1) = sLabel: vD(1, 2) = "Value": vD(1, 3) = "Quantity"

'frequency distribution display
For n = LB To UB
If n = LB Then                'first bin
vD(n + 2, 2) = "<=" & vB(n)                      'bin size
vD(n + 2, 3) = vR(n, 1)                           'quantity
ElseIf n > LB And n < UB Then 'middle bins
vD(n + 2, 2) = ">" & vB(n - 1) & " and <=" & vB(n) 'bin size
vD(n + 2, 3) = vR(n, 1)                           'quantity
ElseIf n = UB Then            'last bin
vD(n + 2, 2) = ">" & vB(n - 1)                    'bin size
vD(n + 2, 3) = vR(n, 1)                           'quantity
End If
vD(n + 2, 1) = "Bin # " & n 'headings
Next n
'get various other stats estimates for display
On Error Resume Next 'avoids Mode() error when no value stands out
With Application.WorksheetFunction
vD(UB + 4, 1) = "Average": vD(UB + 4, 3) = Format(.Average(vI), "#0.000")
vD(UB + 5, 1) = "Median": vD(UB + 5, 3) = .Median(vI)
vD(UB + 6, 1) = "Mode": vD(UB + 6, 3) = .Mode(vI)
vD(UB + 7, 1) = "Minimum": vD(UB + 7, 3) = .Min(vI)
vD(UB + 8, 1) = "Maximum": vD(UB + 8, 3) = .Max(vI)
vD(UB + 9, 1) = "Std.Deviation": vD(UB + 9, 3) = Format(.StDevP(vI), "#0.000")
vD(UB + 10, 1) = "SD/Average % (CV)": vD(UB + 10, 3) = Format(.StDevP(vI) * 100 / .Average(vI), "#0.000")
vD(UB + 11, 1) = "Variance": vD(UB + 11, 3) = Format(.VarP(vI), "#0.000")
vD(UB + 12, 1) = "No. of Samples": vD(UB + 12, 3) = UBound(vI) - LBound(vI) + 1
End With
Err.Clear
Else
MsgBox "Problems getting bin count - closing"
Exit Sub
End If

'output to sheet
ClearWorksheet "Sheet1", 3        'clear both contents and formats of the worksheet
Array2DToSheet vD, "Sheet1", 3, 3 'transfer whole array to sheet with top left at row3, col3
FormatCells "Sheet1"              'apply font and autofit formats to all cells of the worksheet

End Sub

Private Function FreqDist(vData As Variant, vBounds As Variant, vRet As Variant) As Boolean
'Gets the frequency distribution for data values in vData
'Returns in vRet based on bin range data in vBounds.

Dim vFD As Variant
Dim LBD As Long, UBD As Long, LBB As Long, UBB As Long

'get work array bounds
LBD = LBound(vData): UBD = UBound(vData)     '1D
LBB = LBound(vBounds): UBB = UBound(vBounds) '1D

ReDim vRet(LBB To UBB + 1) 'one more than bounds

With Application.WorksheetFunction
'always returns as one-based array!
vRet = .Frequency(vData, vBounds)
End With

FreqDist = True

End Function

Private Sub ClearWorksheet(ByVal sSheet As String, Optional ByVal nOpt As Integer = 1)
'clears worksheet contents, formats, or both
'but does not remove charts from the worksheet
'nOpt options: contents=1, formats=2, all=3

Dim oWSht As Worksheet
Set oWSht = ThisWorkbook.Worksheets(sSheet)
oWSht.Activate

With oWSht.Cells
Select Case nOpt
Case 1 'contents only
.ClearContents
Case 2 'formats only
.ClearFormats
Case 3 'formats and contents
.Clear
Case Else
MsgBox "Illegal option in ClearWorksheet - closing"
Exit Sub
End Select
End With

oWSht.Cells(1, 1).Select

End Sub

Private Sub Array2DToSheet(ByVal vIn As Variant, sShtName As String, nStartRow As Long, nStartCol As Long)
' transfers contents of input 2D array to specified worksheet positions
' Works for any array bounds

Dim oSht As Worksheet, rTarget As Range
Dim nRows As Long, nCols As Long
Dim nNewEndC As Long, nNewEndR As Long

'get reference to sheet for output
Set oSht = ActiveWorkbook.Worksheets(sShtName)

'get the pre-shift end points
nRows = UBound(vIn, 1) - LBound(vIn, 1) + 1
nCols = UBound(vIn, 2) - LBound(vIn, 2) + 1

'modify end point for parameter starting values
nNewEndR = nRows + nStartRow - 1
nNewEndC = nCols + nStartCol - 1

' define the sheet range for the array contents
Set rTarget = oSht.Range(oSht.Cells(nStartRow, nStartCol), oSht.Cells(nNewEndR, nNewEndC))

'transfer the array contents to the sheet range
rTarget.Value = vIn

End Sub

Private Sub FormatCells(sSht As String)
' Applies certain formats to all cells
' of the named parameter worksheet

Dim oSht As Worksheet

Set oSht = ThisWorkbook.Worksheets(sSht)
oSht.Activate

'format all cells of the worksheet
oSht.Cells.Select
With Selection
.Font.Name = "Consolas" 'mono
.Font.Size = 20
.Columns.AutoFit
.Rows.AutoFit
.HorizontalAlignment = xlLeft 'xlRight 'xlCenter
.VerticalAlignment = xlBottom 'xlCenter 'xlTop
End With
oSht.Range("A1").Select

End Sub
```