A survey recorded the number of children 18 years old or younger who lived in 500 households. The accompanying table shows the results. Number of Children Number of Families 0 214 1 99 2 105 3 55 4 22 5 5 a. Determine the mean number of children per household. b. Determine the standard deviation for the number of children per household.
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Given Σ(fx) = 587 and N = 500, we have: mean = 587 / 500 = 1.174 Show more…
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A survey recorded the number of children 18 years old or younger who lived in 200 households. The accompanying table shows the results. Number of Children Number of Families 0 96 1 35 2 36 3 22 4 9 5 2 a. Determine the mean number of children per household. b. Determine the standard deviation for the number of children per household. a. The mean number of children per household is (Round to three decimal places as needed.) b. The standard deviation for the number of children per household is (Round to three decimal places as needed.)
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The number of children per household, $x,$ in the United States in 2008 is expressed as a probability distribution here. $$\begin{array}{l|cccccc}\hline \boldsymbol{x} & 0 & 1 & 2 & 3 & 4 & 5+ \\\boldsymbol{P}(\boldsymbol{x}) & 0.209 & 0.384 & 0.249 & 0.106 & 0.032 & 0.020 \\\hline\end{array}$$ a. Is this a discrete probability distribution? Explain. b. $\quad$ Draw a histogram for the distribution of $x,$ the number of children per household. c. Replacing "5+" with exactly "5," find the mean and standard deviation.
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