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Savatey [412]
3 years ago
13

What is the standard deviation for 212,249,212,248,239,212,216,234,248

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

15.90  

Step-by-step explanation:

The formula for standard deviation, σ, of a population is

\sigma = \sqrt{\frac{1 }{N }\sum_{i=1}^{N}(x_{i}-\mu)^{2}}

We can use a table to organize the calculations.

  <u>   x   </u>      <u>x - µ </u>    <u>(x - µ)² </u>

  212         -18        324

  249         19        361

  212         -18        324

  248         18        324

  239          9           81

  212        -18         324

  216        -14         196

  234          4           16

<u>   248         18        324</u>

2070                   2274

Sum= 2070

N = 9

µ = Sum/N = 2070/9 = 230

\sigma = \sqrt{\frac{1 }{9 }\times2274} =\sqrt{252.7} = 15.90

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