A. The scores in order are: 10, 12, 13, 14, 14, 16, 18, 23, 24, 26. The range is 26 - 10 = 16. The mean is the sum divided by 10, which is 17. The median is between 14 & 16, which is 15. The mode is 14, since it is repeated twice.
B. The variance is calculated by subtracting each score from the mean, squaring, and adding all such squares. Then divide by the number of terms (10) to get 27.6 Take the square root to get the standard deviation, which is 5.25.
C. This is for a population, since these are all 10 games that Jason played. (If it were a sample, we would divide by 9 only)
D. The mean of 17 is higher than the median of 15 and the mode of 14. This implies a left-skewed distribution. However, the SD of 5.25 is quite high relative to the mean of 17, so the distribution is not that clearly defined yet (more data points would make it clearer).
Answer:
D
Step-by-step explanation:
x + 5 + 3x + C = 180 All triangles have 180 degrees.
4x + 5 + C = 180
But C must be equal to 3x. Notice the markings on the lets of the triangle.
4x + 5 + 3x = 180
7x + 5 = 180 Subtract 5 from both sides
7x = 180 - 5
7x = 175
x = 25
But angle C = 3x
C = 3*25
C = 75
Triangle ABC and triangle DCE are congruent, so line DE = line AB
Use the cosine rule to find angle ACB






Angle ACB = 48.1°
Answer:
<u>direction</u>
<u>shape</u>
<u>scatter plots</u>
<u>shape and outliers</u>
Step-by-step explanation:
Correlation is defined as the degree of correspondence between two variables.
When the values increase together, correlation is positive and when one value decreases as the other increases, correlation is negative .
Calculating a correlation can help describe a relation between two quantitative variables' <u>direction</u> and <u>shape</u>. However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of <u>scatter plots</u> can provide other helpful details such as <u>shape and outliers</u>