the student populations of 10 universities are shown.
38,364
39,143
39,619
40,742
41,038
41,828
45,289
48,960
49,863
54,513
determine whether the mean or the median best describes the center of the data set and give its value.

The Median is the center of the data and I believe it's Value would be 41,429

Step-by-step explanation:

The median like the center median is in the middle and when there is an even  amount of numbers you take the two middle numbers add them and then divide them by 2.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°