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

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#1 of 7: Mild

Identify effects from removing, adding, and replacing a data point

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

#2 of 7: Medium

Identify effects from removing, adding, and replacing a data point

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:`2`, `6`, `8`, `4`, `1`, `2`, `5`The mean of the data set is `4` nests. One additional volunteer returned late from her counting, but found `6` nests. How will adding `6` nests affect the mean?

#3 of 7: Medium

Identify effects from removing, adding, and replacing a data point

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:`6`, `10`, `7`, `12`, `15`, `10`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. How will this change to the data set affect the mean?

#4 of 7: Medium

Identify effects from removing, adding, and replacing a data point

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:`140`, `147`, `222`, `244`, `250`, `300`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`. How will this change to the data set affect the median?

#5 of 7: Spicy

Identify effects from removing, adding, and replacing a data point

The following data set shows the height, in inches, of `10` of the players on the Silver Springs Middle School basketball team:`60`, `54`, `55`, `59`, `55`, `52`, `53`, `56`, `56`, `60`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. How will removing the height of `60` inches affect the mean?

#6 of 7: Spicy

Identify effects from removing, adding, and replacing a data point

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:`1.2`, `1.3`, `1.5`, `1.9`, `2`, `2.2`, `2.8`, `3`, `3.5`, `4`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. How will this change to the data set affect the median?

#7 of 7: Spicy

Identify effects from removing, adding, and replacing a data point

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

In grade 6 statistics Identifying the effects of removing, adding, and replacing a data point practice problems can help 6th graders to analyze the impact of these actions on the parameters like mean, median and mode. Teachers can provide these practice problems to that students to strengthen the concept and can provide a deeper understanding of the topic.

For example, if the data point that is removed is an outlier, the mean and median may shift significantly, while the mode may remain unchanged. On the other hand, if the removed data point is close to the mean or median, the impact may be minimal.

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Grade 6

Statistics

6.SP.B.5.C