Christina is conducting a study regarding children and exercise. She surveyed a sample of children regarding their daily exercise times, rounded to the nearest minute, and she recorded her findings in the histogram below. According to the histogram above, what is the range of the median daily exercise time?

The median daily exercise class range is 30 minutes

Reason for the above range:

The median of the histogram is given as follows;

The width of each bar = 30

The total area of the histogram = 30×50 + 30×60 + 30×10 + 30×5 = 3,750

The median = 3,750/2 = 1,875

The area of the first class = 30×50 = 1,500

The area of the second class = 30×60 = 1,800

The difference between the median and the area of the first class = 1,875 - 1,500 = 375

The median is therefore larger than the first class but within the second class

The depth within the second class the median is located = 375/60 = 6.25

The median best estimate = (30 + 6.25) minutes = 36.25 minutes

Range =

The range of the median class interval = between 31 and 60 minutes = 30 minutes

Learn more about median of an histogram here:

link

30

Step-by-step explanation:

median from the given data; 50, 60, 10, 5

arrange in order: 5, 10, 50, 60

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

therefore,

the median = (10 + 50) / 2

                  = 30

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

50- 250 is correct i did that one too

step-by-step explanation: