The standard deviation rounded to the nearest tenth will be 2.6.
What is a standard deviation?
It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.
The standard deviation is given as
SD² = (x - μ)² / n
SD = Standard deviation
n = Size of the population
x = Each value from the population
μ = mean
The data is given below.
16, 13, 20, 16, 12, 17, 18
Then the mean value of the data will be
μ = (16 + 13 + 20 + 16 + 12 + 17 + 18) / 7
μ = 112 / 7
μ = 16
Then the standard deviation will be
SD² = (x – μ)² / n
SD² = [(16 – 16)² + (13 – 16)² + (20 – 16)² + ...... + (18 – 16)²]/ 7
SD² = (9 + 16 + 16 + 1 + 4) / 7
SD² = 46 / 7
SD² = 6.57
SD = 2.6
Thus, the standard deviation rounded to the nearest tenth will be 2.6.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
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