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find the mean of the data in the dot plot below.
jokers
jokers in each of marcies decks of cards
0 1 2 3
number of jokers
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Step1: Count the data - points
There is 1 data - point at 0, 1 data - point at 1, 3 data - points at 2, and 1 data - point at 3.
Step2: Calculate the sum of the data
The sum is \(0\times1 + 1\times1+2\times3 + 3\times1=0 + 1+6 + 3=10\).
Step3: Calculate the total number of data - points
The total number of data - points is \(1 + 1+3 + 1=6\).
Step4: Calculate the mean
The mean \(\bar{x}=\frac{\text{sum of data}}{\text{number of data - points}}=\frac{10}{6}=\frac{5}{3}\approx1.67\).
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\(\frac{5}{3}\)