Which data set has the highest median
11,15,16,8,12,14
8,20,13,14,12,9
1,6,15,7,15,18,14
1,10,8,29,14,17,3
3 answers
The first data set, 11,15,16,8,12,14, has the highest median of 13.5.
0. The spinner is divided into equal parts. Use a tree diagram to find the probability that the
spinner will land on a vowel both times if the spinner is spun twice
spinner will land on a vowel both times if the spinner is spun twice
Unfortunately, as an AI language model, I cannot create visual diagrams. However, I can provide you with the steps to solve this problem:
To find the probability that the spinner will land on a vowel both times if the spinner is spun twice, we need to use the multiplication rule of probability.
Step 1: Determine the probability of the first spin landing on a vowel. Let's say this probability is 2/5, as there are 2 vowels out of a total of 5 equally likely outcomes on the spinner.
Step 2: Create a tree diagram that branches out to the possible outcomes of the second spin, given the first spin result.
Step 3: Calculate the probability of the second spin also landing on a vowel for each possible outcome.
Step 4: Multiply the probability of the first spin landing on a vowel by the probability of the second spin landing on a vowel, for each outcome in the tree diagram.
Step 5: Add up all the probabilities of getting two vowels in a row from the different branches to get the final probability.
For example, the tree diagram could look like this:
/ V (2/5) -- V (1/2) = 1/5
V --|
\ C (3/5) -- V (2/3) = 2/5
In this case, there are two possible branches that lead to getting two vowels in a row. We calculated the probability of each outcome along the branches by multiplying the probabilities of the individual spin results. Adding these up gives us the final probability:
P(two vowels) = 1/5 + 2/5 = 3/5
Therefore, the probability that the spinner will land on a vowel both times if the spinner is spun twice is 3/5.
To find the probability that the spinner will land on a vowel both times if the spinner is spun twice, we need to use the multiplication rule of probability.
Step 1: Determine the probability of the first spin landing on a vowel. Let's say this probability is 2/5, as there are 2 vowels out of a total of 5 equally likely outcomes on the spinner.
Step 2: Create a tree diagram that branches out to the possible outcomes of the second spin, given the first spin result.
Step 3: Calculate the probability of the second spin also landing on a vowel for each possible outcome.
Step 4: Multiply the probability of the first spin landing on a vowel by the probability of the second spin landing on a vowel, for each outcome in the tree diagram.
Step 5: Add up all the probabilities of getting two vowels in a row from the different branches to get the final probability.
For example, the tree diagram could look like this:
/ V (2/5) -- V (1/2) = 1/5
V --|
\ C (3/5) -- V (2/3) = 2/5
In this case, there are two possible branches that lead to getting two vowels in a row. We calculated the probability of each outcome along the branches by multiplying the probabilities of the individual spin results. Adding these up gives us the final probability:
P(two vowels) = 1/5 + 2/5 = 3/5
Therefore, the probability that the spinner will land on a vowel both times if the spinner is spun twice is 3/5.