Question

Data were gathered and displayed in the stem-and-leaf plot.


1 2 8
2 0 5 7 9
3 2 2 8 8
4 1 2 4 5 7 8 9
5 0 1 4 4 4 5 5 6
6 1 2 3 4 7 8
Key: 1|2 represents 12

Part A: Identify the shape of the distribution. (2 points)

Part B: Suppose an outlier is added to the data set. If the resulting mean is lower with the outlier than without, state a possible value of the outlier. Justify the answer. (4 points)

Part C: Which measure is more appropriate to use to describe the shape of the distribution? Justify the answer based on the shape of the distribution. (4 points)

Answer 1

@xxxkrisxxx

Answer 2

@luigi0210

Answer 3

@jayfafr

Answer 4

@aubree

Answer 5

K, just, give me a couple mins so I can figure out how to explain-

Answer 6

thank you!

Answer 7

Hope this helps
What you're solving for The shape of the distribution, the value of the outlier, and the measure of central tendency. What’s given in the problem T...
S
Smith, Aubree
to me
0 minutes agoDetails
What you need to solve:
To solve the problem, you need to determine the shape of the distribution, the value of the outlier, and the most appropriate measure of central tendency.
Given information:
The data is given in a stem-and-leaf plot.

Helpful information:
- The mean of a data set is the sum of the values divided by the number of values in the set.
- The median of a data set is the middle value when the data is arranged in ascending order.
- An outlier is a data value that is significantly different from the other values in a data set.
- A symmetric distribution is a distribution in which the data is evenly distributed around the center.
- A skewed distribution is a distribution in which the data is not evenly distributed around the center.

How to solve:
1. Identify the shape of the distribution using the stem-and-leaf plot. In this case, the distribution is symmetric.
2. Find the value of the outlier that would lower the mean. If the outlier is less than the smallest value in the data set, the mean will decrease. In this case, the smallest value in the data set is 12, so a possible value for the outlier is 11.
3. Determine the most appropriate measure of central tendency given the shape of the distribution. In a symmetric distribution, the median is the most appropriate measure of central tendency.

Solution:
The distribution is symmetric, and a possible value for the outlier is 11. The most appropriate measure of central tendency is the median.

Answer 8

Do you need further clarification or are you good?

Answer 9

I'm looking it over, but I somewhat get it.

Answer 10

Well, if you have any questions, feel free to ask

Answer 11

Hey Aubree, I have two more questions I'd appreciate if you could help me with them?

Answer 12

Sure, what r the questions?

Answer 13

Let me post them!

Answer 14

K