Identify Effects From Removing, Adding, And Replacing A Data Point Problems

<p>The following data set shows the number of cans collected by `5` classes during a canned food drive. </p>`45`, `52`, `38`, `55`, `50`<p>The class that reported `38` discovered some uncounted cans. They actually had `58` cans instead of `38`.</p> <p>How will this change to the data set affect the mean?</p>

<p>A group of volunteers visited a preserve to count nests for an endangered bird. The following data set shows the number of nests counted by each volunteer:</p>`2`, `6`, `8`, `4`, `1`, `2`, `5`<p>The mean of the data set is `4` nests. One additional volunteer returned late from her counting, but found `6` nests. </p> <p>How will adding `6` nests affect the mean?</p>

<p>Students in a stained glass class study other designs before creating a design of their own. The following data set shows the number of colors in various designs that were studied:</p>`6`, `10`, `7`, `12`, `15`, `10`<p>The mean number of colors is `10`. The students made a mistake counting colors on one of the designs. The design with `15` colors actually had `13` colors.</p> <p>How will this change to the data set affect the mean?</p>

<p>Jackson Middle School is trying to use less paper. The following data set shows the number of copies made on the copy machine over 6 days:</p>`140`, `147`, `222`, `244`, `250`, `300`<p>The median is `233` copies. After the `300` copies were recorded on the last day, someone made additional copies, bringing the total for the day to `325`.</p> <p>How will this change to the data set affect the median?</p>

<p>The following data set shows the height, in inches, of `10` of the players on the Silver Springs Middle School basketball team:</p>`60`, `54`, `55`, `59`, `55`, `52`, `53`, `56`, `56`, `60`<p>The mean height is `56` inches. One player who was `60` inches decided to join the swim team instead and was removed from the roster.</p> <p>How will removing the height of `60` inches affect the mean?</p>

<p>The following data set shows the length, in centimeters, of various bugs collected and measured by Mr. Sherman’s science class in the school garden:</p>`1.2`, `1.3`, `1.5`, `1.9`, `2`, `2.2`, `2.8`, `3`, `3.5`, `4`<p>The median bug length is `2.1` centimeters. The student who measured that bug that was `1.2` centimeters says they made a mistake and the bug was actually only `0.8` centimeters.</p> <p>How will this change to the data set affect the median? </p>

<p>The following data set shows the amount of sleep, in hours, reported by `10` customer shopping for a new mattress:</p>`6`, `7.5`, `5.75`, `8`, `7.5`, `6.75`, `7`, `7`, `6.5`<p>The mean amount of sleep is `6.2` hours. </p><p>The customer who reported `5.75` hours of sleep was removed from the list as they said, in general, they get much more sleep.</p> <p>How will removing `5.75` hours affect the mean?</p>