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cluponka [151]
3 years ago
11

find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth

Mathematics
1 answer:
KatRina [158]3 years ago
7 0

Answer:

  • 3.0

Step-by-step explanation:

Sample standard deviation is found by steps below.

<u>Find the mean:</u>

  • μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2

<u>Find deviations from the mean and their squares:</u>

  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
  • 13 - 12.2 = 0.8 ⇒ 0.8² = 0.64
  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84

<u>Sum the squares:</u>

  • 10.24*2 + 7.84*2 + 0.64 = 36.8

<u>Divide by N - 1 (N - number of samples):</u>

  • 36.8/(5 - 1) = 9.2

<u>Square root is the sample standard deviation:</u>

  • σ = √9.2 = 3.0 (rounded)
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Step-by-step explanation:

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Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

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