STDEVA


Returns the sample standard deviation of the arguments.

Syntax:

STDEVA(number1, number2, ... number30)


number1 to number30 are up to 30 numbers or ranges containing numbers. Logical values and text may also be included.

STDEVA returns the standard deviation where number1 to number30 are a sample of the entire population.Logical values are regarded as 1 (TRUE) and 0 (FALSE).Text values are always regarded as zero.With N values in the sample, the calculation formula is:




Example:

STDEVA(2, 6, 4)

returns 2.

STDEVA(B1:B3)

where cells B1, B2, B3 contain red, TRUE, and 2 returns 1, the standard deviation of 0, 1 and 2.


Application:

Scenario: A company wants to analyze the variability in the daily sales of its top 10 salespeople. They have collected the sales data for one week (5 business days) for a random sample of 5 salespeople.


The company wants to calculate the sample standard deviation to understand how much the daily sales of these salespeople typically deviate from the average daily sales. A higher standard deviation would indicate greater variability in sales, while a lower standard deviation suggests more consistent sales performance.


Sales Data Table:

Salesperson

Day 1

Day 2

Day 3

Day 4

Day 5

A
B
C
D
E
F
1
A
2500
2700
2400
2650
2800
2
B
1800
1950
1850
2000
1900
3
C
3200
3100
3350
3000
3400
4
D
2100
2250
2150
2300
2200
5
E
2900
2850
2950
3050
2800

To find the standard deviation of the sales for salesperson A, you would use the following formula:


STDEVA(2500, 2700, 2400, 2650, 2800)


Alternatively, if the data is in cells B1 to F1, the formula would be:


STDEVA(B1:F1)


Result for Salesperson A:


The STDEVA function would return approximately 159.69. This means that the daily sales for salesperson A typically deviate from their average daily sales by about $159.69.


You would repeat this calculation for each salesperson to analyze the variability of their sales. For example, for salesperson C, the formula would be:


STDEVA(3200, 3100, 3350, 3000, 3400)


The result for salesperson C would be approximately 167.33.


Analysis of Results:


Comparing the results, we can see that:


  • Salesperson C has the highest standard deviation (167.33), indicating the most significant variability in their daily sales performance.
  • Salesperson B and D have the lowest and identical standard deviations (79.06), suggesting their daily sales are the most consistent and predictable.
  • Salesperson A (159.69) and E (96.18) fall in the middle, with E being more consistent than A.

Result for Salesperson A:

159.69

Result for Salesperson B:

79.06

Result for Salesperson C:

167.33

Result for Salesperson D:

79.06

Result for Salesperson E:

96.18




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