The table lists the number of laps maria swam daily for 6 days. what is the median of the number of laps she swam? a. 10 b. 11 c. 12 d. 13 e. 14

The correct answer option is D. 13.

Step-by-step explanation:

We have the following data set for the number of laps Maria swam daily for 6 days:

16, 6, 8, 12, 14, 14

To find the median, we first need to sort the data in an ascending order:

6, 8, 12, 14, 14, 16

Now since the number of elements is an even number i.e. 6, we will take the two middle values and take their mean to find the median.

Median =

Median =

Therefore, 13 is the median for the given data set.

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step-by-step explanation:

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°