A group of 10 students are all 54 to 56 inches tall. An adult who is 74
inches tall joins the group. Which statement is true for this situation?
A None of the measures of central tendency (mean, median, or mode)
will be affected by the adult's height.
B. The median height will be more affected by the adult's height than
the mode(s) or the mean.
C. The mode(s) will be more affected by the adult's height than the
median or the mean.
D. The mean height will be more affected by the adult's height than the
mode(s) or the median.

Respuesta :

Answer:

D. The mean height will be more affected by the adult's height than the

mode(s) or the median

Step-by-step explanation:

If you include an outlier in a set of data, its mean WILL change and get higher in this case.

The correct answer is the mean height will be more affected by the adult's height than the mode(s) or the median which is option D.

  • Mode

Since, the mode refers to the most common number of a data set, and if the adult who is 74 inches tall joins the group of that [tex]10[/tex] students will not affect the mode as the most common height will be between 54 to 56 inches.

  • Median

Also, the median refers to the middle number of a data set in ascending to descending order and if the adult joins the group of 10 students then its height will be at last and not much affect the median of the group of 10 students.

  • Mean

Now, the mean refers to the average of a data set which is calculated by the adding the numbers and dividing the sum by the number of numbers in the data set and if the adult joins the group of 10 students then it will affect the mean of the group of 10 students as there will be a huge difference in the average when the adult joins the group.

So, accordingly, the correct option is D. The mean height will be more affected by the adult's height than the mode(s) or the median.

Learn more about how to solve inequality is here:https://brainly.com/question/14532771

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