Answer:
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
Step-by-step explanation:
For this problem we know that the average lion lives with a mean of and the deviation is
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
Answer:
Statements A, B , and E are correct
Step-by-step explanation:
Since the triangles are similar the ratio between all the sides are the same.
Therefore, A, B, and E are all true statements.
Answer:
Skewed to the left.
Step-by-step explanation:
Relationship between the mean and the median:
The mean is the average of all the values in a set.
The median is the one separating the lower 50% values of a set from the upper 50% of the values.
If the mean and the median are the same, the distribution is symmetric. That is, 50% of the values are above the mean, and 50% are below.
If the mean is higher than the median, the distribution is skewed to the left. Which means that a percentage higher than 50% of the values are below the mean, and a percentage lower than 50% of the values are above the mean.
If the mean is lower than the median, the distribution is skewed to the right. Which means that a percentage higher than 50% of the values are above the mean, and a percentage lower than 50% of the values are below the mean.
In this problem, we have that:
Mean = 29.4 inches
Median = 28.5 inches
Mean higher than the median. Which means that the histogram is skewed to the left.