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These side-by-side stemplots represent the scores on the final exam for a statistics teacher’s $1^ \text{st}$ period class $(n = 29)$ on the left and $5^\text{th}$ period class $(n = 22)$ on the right. The scores are raw scores, out of a possible $100\text{ points}$.

Which of the following statements is false?


The mean for $5^\text{th}$ period is greater than the mean for $1^ \text{st}$ period.


Both groups have the same modal class.


$5^\text{th}$ period has less variability than $1^ \text{st}$ period.


$1^ \text{st}$ period is skewed right.


$1^ \text{st}$ period did worse than $5^\text{th}$ period.

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