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Practical 14: Data Analysis ToolPak – Descriptive Statistics & Correlation

Lesson 14 of 14 in the free Statistical Analysis using Excel Lab notes on Siksha Sarovar, written by Rohit Jangra.

Program Statement

Install and use the Data Analysis ToolPak add-in for automated descriptive statistics and correlation analysis in Excel.

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Step 1: Install Data Analysis ToolPak

  1. Go to File → Options → Add-ins
  2. At the bottom, set "Manage" to Excel Add-ins → Click Go
  3. Check Analysis ToolPak → Click OK
  4. The Data tab now shows a Data Analysis button on the right

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Step 2: Descriptive Statistics Using ToolPak

Dataset: Student Marks (20 Students)

S.NoNameMarks
1Aman85
2Priya72
3Rohit91
4Neha60
5Vikas98
6Riya74
7Karan82
8Anjali52
9Sanjay77
10Pooja89
11Amit65
12Sunita93
13Dev73
14Kavita58
15Rahul86
16Simran79
17Deepak66
18Meena90
19Arjun45
20Tanvi81

Steps:

  1. Click Data → Data Analysis → Descriptive Statistics → OK
  2. Input Range: Select the Marks column (C1:C21, including header)
  3. Check Labels in First Row
  4. Check Summary Statistics
  5. Choose Output Range (e.g., E1) or New Worksheet
  6. Click OK

ToolPak Output (Descriptive Statistics):

StatisticMeaning
MeanAverage of all marks
Standard ErrorSE = SD / √n
MedianMiddle value
ModeMost frequent value
Standard DeviationSpread of data around mean
Sample VarianceSquare of SD
KurtosisPeakedness of distribution
SkewnessSymmetry of distribution
RangeMax − Min
MinimumLowest value
MaximumHighest value
SumTotal of all values
CountNumber of data points

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Step 3: Correlation Analysis Using ToolPak

Dataset: Study Hours vs Marks

S.NoStudy HoursMarks
16.588
24.072
37.594
43.060
58.097
65.078
76.085
82.555
95.581
107.090

Steps:

  1. Data → Data Analysis → Correlation → OK
  2. Input Range: Select both columns (Study Hours + Marks) with headers
  3. Check Labels in First Row
  4. Set Output Range (e.g., F1)
  5. Click OK

Interpreting Correlation Output:

r ValueInterpretation
0.9 to 1.0Very Strong Positive
0.7 to 0.9Strong Positive
0.5 to 0.7Moderate Positive
0.0 to 0.5Weak/No correlation
Negative rInverse relationship

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Step 4: Histogram Using ToolPak (Bonus)

  1. Data → Data Analysis → Histogram
  2. Input Range: Marks column
  3. Bin Range: Define intervals (40,50,60,70,80,90,100)
  4. Check Chart Output
  5. Excel generates a frequency histogram automatically

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Comparison: Manual vs ToolPak

TaskManual FormulaToolPak
Mean=AVERAGE()Descriptive Statistics
Std Dev=STDEV()Descriptive Statistics
Correlation=CORREL()Correlation tool
All stats at onceMultiple cells neededOne-click summary table
HistogramManual COUNTIFSAutomatic chart generation