Consider the following set of 19 data values: 5 6 6 9 10 4 2 5 7 6 7 3 5 5 5 4 9 2 10

Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.

Mean =

Median =

Mode=

mean = 5.4

median  = 5

mode = is the number that appears the most answer = 5

Step-by-step explanation:

mean

5+6+6+9+10+4+2+5+7+6+7+3+5+5+5+4+9+2+10  =         / 19 = 5.4

median

2 2  3 4 4 5 5 5 5 5 6 6 6 7 7 9 9 10 10 then find the middle between these = 5

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°