The dot plot shows the ages of students, in years, on a basketball team. Each dot represents 1 student. Find the mean (rounded to the nearest tenth) and the mode of the data.

Mode = 15

Mean = 12.8

Step-by-step explanation:

Given the data :

As obtained form the dot plot :

X : 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15

The mean of the data:

Mean = ΣX / n

Mean = 179 / 13

Mean = 12.785 = 12.8 years

Mode = most frequently occurring value = 15

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