QUESTION IMAGE
Question
the figure displays computer output for data on the amount spent by 50 grocery shoppers. statistic x xₛ min q₁ med q₃ max amount spent 34.70 21.70 3.11 19.27 27.82 45.40 93.34 choose the correct interpretation of the standard deviation. the amount of money spent by these 50 shoppers always varies by about $21.70 from the mean of $34.70. you can expect the amount spent by these 50 shoppers to fluctuate between $13.00 and $56.40. there was a lot of variability in the amount of money spent by the shoppers at this grocery store! the amount of money spent by these 50 shoppers typically varied by about $21.70 from the mean of $34.70.
The standard deviation ($s_x = 21.70$) measures the typical amount by which data points deviate from the mean ($\bar{x}=34.70$). It does not mean the data always varies by that amount, nor does it directly give the range of fluctuation. It indicates the variability in the data.
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The amount of money spent by these 50 shoppers typically varied by about $21.70 from the mean of $34.70.