15 20 25 30 35 40 45 50 17 21 31 36 47 (a) What is the five number summary of this data?

Min= 15 Q1= 20.5  Q2= 31 Q3= 42.5  Maximum= 50

Step-by-step explanation:

Step 1: Find the minimum and maximum. Here the min is 15 and the max is 50.

Step 2: Find the median. To find the median count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median. So for this one the median would be 31.

Step 3: Find Q1 and Q2

Q1 is the median in the lower half of the data, and Q3 is the median in the upper half of the data. Therefore, Q1 is 20.5 and Q3 is 42.5.

I hope this help!

Note: Q1 is called the  first quartile. Q2 is called the median and Q3 is called the third quartile.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.