6.1, 6.3, & 6.4 Median and Midsegment

Front

What is the median of a set of numbers?

Back

The median is the middle value in a list of numbers sorted in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Front

How do you find the midsegment of a triangle?

Back

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. It is parallel to the third side and its length is half the length of that side.

Front

If EC = 30, what is EG if E is the midpoint of CG?

Back

EG = 10, since EG is half of EC.

Front

What is the relationship between the median and the midsegment in a triangle?

Back

The median connects a vertex to the midpoint of the opposite side, while the midsegment connects the midpoints of two sides. The midsegment is parallel to the third side and half its length.

Front

What is the value of x if the median of the set {x, 2, 4, 6} is 4?

Back

x = 4, since the median is the average of the two middle numbers.

Front

Define a perpendicular bisector.

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

If the midsegment of a triangle is 16, what is the length of the side it is parallel to?

Back

The length of the side is 32, since the midsegment is half the length of the side.

Front

What is the formula for finding the median in a frequency distribution?

Back

Median = L + [(N/2 - F) / f] * c, where L is the lower boundary of the median class, N is the total frequency, F is the cumulative frequency before the median class, f is the frequency of the median class, and c is the class width.

Front

If x = 2, what is the value of 3x + 4?

Back

The value is 10.

Front

What is the definition of a median in statistics?

Back

In statistics, the median is the value separating the higher half from the lower half of a data sample.