Question

Use this data:

234 235 345 234 678 56 21 347 674 231 67 89 876 875 457 357 991 667 643

Using the above data do:

Population Mean, Geometric Mean and Population Variance. Also, solve for the Mode and Median

2. Using the first 4 numbers above, solve for

Sample Mean, Sample Variance

3. Using this data:

23 12 4 5 6 7 9 12 34

Solve for Mean, Mode, Median, Population Variance and Geometric Mean

4. Using this data:

44 23 12 16

Solve for the Standard Deviation, Population Variance

Answer 1

• Population Mean-
  where, N: Population Size, X_i : denotes the i^th  unit of the Ppulation.
  
• Geometric Mean-
  
• Population Variane-
  
• Median-
  Median is the middle most value of the ordered data(arranging in ascending order)
  The ordered data:

  21
  56
  67
  89
  231
  234
  234
  235
  345
  347
  357
  457
  643
  667
  674
  678
  875
  876
  991

  Median= 234
• Mode:
  Mode is that value of the variable which the maximum number of times in the given data set.
  Mode=234
  

2. Calculation for Sample-

• Sample Mean-
  
• Sample Variance-
  

3. Mean-

• Mode-
  Mode is that value of the variable which the maximum number of times in the given data set.
  Mode=12
• Median-
  Median is the middle most value of the ordered data(arranging in ascending order)
  The ordered data:

  4
  5
  6
  7
  9
  12
  12
  23
  34

  
  Median=12
• Population Variance-
  
• Geometric Mean-
  
  ​​​​​​​

4.Population Standard Deviation-

• Sample Standard Deviation-
  
• Population Variance-
  
  ​​​​​​​

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