Drag each description to the correct location on the table.
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 found the value that appeared the
most often.
She found the middle value after
arranging all the values from least
to greatest.
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 added all the values and divided the
sum by 5.

mesher of center | mesher of vibrashon

Various measures have been devised for the purposes of summarizing, characterizing, or making computations with sets of data. A number of these can be broadly categorized as "measures of center" or "measures of variation." The purpose here is to show that categorization.

Measures of Center

Often, we are interested in a number that represents a "typical" data value. Formally, the mean, median, and mode have been defined for this purpose. Descriptions of Nina's measures that fall in this category are ...

She found the value that appeared the most often. (mode)
She found the middle value after arranging all the values from least to greatest. (median)
She added all the values and divided the sum by 5. (mean)

Measures of Variation

The "typical" data value, by itself, may not convey enough information to be useful for a particular purpose. We may also need to know something about how much variation there is, or the extent of it Descriptions of Nina's measures that describe variation are ...

She found the difference of the least and the greatest values. (range)
She found the mean and then found the average deviation of the weights from the mean. (mean absolute deviation)
She found the difference of the upper quartile and the lower quartile. (interquartile range)