Hikers spent the following amounts of time (in minutes) to complete a nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
a. find the mean and median times:
b. does one measure describe the data better than the other? explain.
c. suppose another hiker takes 92 minutes to complete the hike. find the mean and median times including the new times.
d. does one measure describe the data better than the other now? explain.

Step-by-step explanation:

Given that hikers spent the following amounts of time (in minutes) to complete a nature hike:48, 46, 52, 57, 58, 52, 61, 56.

Mean = sum/no of items =

In ascending order this becomes

46, 48, 52, 52, 56, 57, 58, 61

Median is average of middle items

=

Here mean is less than median this implies there are more entries above the mean.  i.e. skewed not symmetrical. For symmetrical distributions mean and median would be equal

c) If 92 is added to this data entry median becomes 56 but mean becomes

while median increases by 4.75

d) Median is better because it is not affected by outliers i.e. extreme values added to the set

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.