Question

fill in the blank so that the resulting statement is true.
if the midpoints of the tops of the bars of a histogram are connected with straight lines, the resulting line graph is a data presentation called a/an______. to complete such a graph at both ends, the lines are drawn down to touch the______.
if the midpoints of the tops of the bars of a histogram are connected with straight lines, the resulting line graph is a data presentation called a/an______. to complete such a graph at both ends, the lines are drawn down to touch the______.

Explanation:

1. For the first blank: When midpoints of the tops of histogram bars are connected with lines touching the x - axis (horizontal axis, representing the base or the axis with the variable categories/values) at both ends, the graph is a frequency polygon. The lines at the ends touch the "x - axis" (or "horizontal axis", but more precisely, the axis where the class boundaries or data intervals are plotted).
2. For the second blank: Connecting midpoints of histogram bar tops with lines (touching the x - axis at ends) forms a "frequency polygon".

Answer:

First blank: x - axis (or horizontal axis, or the axis representing the data intervals/categories)
Second blank: frequency polygon