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KengaRu [80]
3 years ago
15

These data show the ring size for a sample of 8 men 12 10 11.5,11.5, 12, 9, 9 , 11 what is the best approximation of the standar

d deviation of the ring size data
Mathematics
2 answers:
nikitadnepr [17]3 years ago
5 0
Given the data above N=8
mean is (12+10+11.5+11.5+12+9+9+11)/8
            thus, mean = 10.75
Sample standard, s= √(∑(x-m)²)/(n-1)
                               = 1.172 
I therefore, believe that the best approximation of standard deviation is 1.17
sladkih [1.3K]3 years ago
3 0

Answer:

Standard deviation of ring size is 1.253

Step-by-step explanation:

We are given the following data-set:

12, 10, 11.5, 11.5, 12, 9, 9, 11

n = 8

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{86}{8} = 10.75

Sum of squares of differences = 1.5625 + 0.5625 + 0.5625 + 0.5625 + 1.5625 + 3.0625 + 3.0625 + 0.0625 = 11

S.D = \sqrt{\displaystyle\frac{11}{7}} = 1.253

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Answer:

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Let the probability that a man is employed be P(M) = 3/8

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c) Probability that the first candidate is a woman given that second one is a woman

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