Jake is skipping stones onto a pond. each time he flings a stone in, he counts the number of times it skips over the water. the number of skips he recorded for each stone were 3, 2, 1, 3, 2, 5, 4, 1, 3, 3, 4, 1, 5, 4, and 2. which measure should jake use to find the most common number of skips? a. mean b. mode c. range d. median e. interquartile range

B. mode

Step-by-step explanation:

We are given the following data set for the number of skips every time Jake skipped a stone onto a pond:

3, 2, 1, 3, 2, 5, 4, 1, 3, 3, 4, 1, 5, 4, 2

It is a good idea to arrange the data set into ascending order just to be more clear about it:

1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5

To find the most common number of skips, Jake should use a measure called mode which tells us about the value that appears most often, which in this case is 3.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.