Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 7, 3, 2, 1, 13, 8, 1, 5, 14, 11,
zysi [14]
Answer:
Mean = 7.3, median = 7, mode = 1.
Step-by-step explanation:
First arrange the data in order:
1 1 2 3 5 7 8 11 13 14 15
There are a total of 11 values.
Median = middle value = 7.
Mode = the most common number = 1.
Mean = sum / 11
= 80 / 11
= 7.3.
<u>To solve this, we need to use our trignometric functions</u>;
⇒ <em>look at the diagram attached</em>
<em />
<u>Let's examine what the problem wants</u>:
- hypotenuse (<em>longest side)</em> of the triangle
<u>Let's examine what the problem gives us</u>:
- side adjacent to the 45-degree angle
- angle that has measure of 45-degrees
<u>Let's solve</u>:

<u>Answer: 7.1</u> (<em>rounded to nearest tenth)</em>
<em />
Hope that helps!
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.
The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.
The 95% confidence for the population mean will be:

Thus, the 95% confidence interval for the population mean will be (115,123)
So, option A is the correct answer
Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".