What is the median of this set of data?

71,37,22,81,65,54,52,41,48,71

The median is 53.

Step-by-step explanation: First, you put the numbers in order from smallest to largest (22, 37, 41, 48, 52, 54, 65, 71, 71, 81). Next, you cross off one number from each end until you reach the middle two, or one in some cases. In this case, the middle two numbers were 52 and 54. To find the median of these to numbers, you must find the middle. The number between 52 and 54 is 53, so the median of this data set is 53.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true