Question

The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.
She found the difference of the least
and the greatest values.

She added all the values and divided the
sum by 5.

She found the mean and then
found the average deviation of
the weights from the mean.

She found the difference of the
upper quartile and the lower
quartile.

She found the value that appeared the
most often.

She found the middle value after
arranging all the values from least
to greatest.


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Answer 1

Answer:

The description that match the type of measure is:

   Measure of center-- She found the middle value after  arranging all the values from least  to greatest.

Measure of variation of this data --  She found the mean and then  found the average deviation of  the weights from the mean.

Step-by-step explanation:

As we know that the median of the data is the central tendency of the data and exist in the middle of the data.

Hence, the measure for the center of data is: Median.

and it is calculated by arranging the data in ascending or descending order and taking the middle value.

Also, we know that MAD of data or mean absolute deviation is used to tell the variation in a data set.

and the steps to calculate it is:

• Calculate the mean.

• Find the absolute deviation of data points from the mean.

• Calculate the mean of these absolute  deviation.