Create a stem plot. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)The height in feet of 25 trees is shown below (lowest to highest).21, 27, 30, 32, 32, 32, 33, 35, 35, 38, 39, 39, 39, 40, 41, 42, 43, 44, 46, 50, 50, 54, 54, 57, 57Stem Leaf2 3 4 5 Identify any outliers. (Enter your answers as a comma-separated list. If there are no outliers enter NONE.)
Question
Create a stem plot. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)The height in feet of 25 trees is shown below (lowest to highest).21, 27, 30, 32, 32, 32, 33, 35, 35, 38, 39, 39, 39, 40, 41, 42, 43, 44, 46, 50, 50, 54, 54, 57, 57Stem Leaf2 3 4 5 Identify any outliers. (Enter your answers as a comma-separated list. If there are no outliers enter NONE.)
Solution
To create a stem plot, we first need to separate the stem (tens place) from the leaf (ones place) for each number. Here's how it would look:
| Stem | Leaf |
|---|---|
| 2 | 1, 7 |
| 3 | 0, 2, 2, 2, 3, 5, 5, 8, 9, 9, 9 |
| 4 | 0, 1, 2, 3, 4, 6 |
| 5 | 0, 0, 4, 4, 7, 7 |
To identify any outliers, we first need to calculate the interquartile range (IQR). The IQR is the range within which the central 50% of the data falls.
First, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the first half of the data and Q3 is the median of the second half of the data.
For this data set, Q1 is 32 and Q3 is 50.
The IQR is Q3 - Q1, which is 50 - 32 = 18.
Any data point that falls below Q1 - 1.5IQR or above Q3 + 1.5IQR is considered an outlier.
Q1 - 1.5IQR = 32 - 1.518 = -5 Q3 + 1.5IQR = 50 + 1.518 = 87
Since all the data points fall within this range, there are no outliers. So, the answer is NONE.
Similar Questions
A set of data is summarized by the stem and leaf plot below. Stem Leaf 1 1 3 5 6 6 7 2 1 1 2 3 3 4 8 9 3 0 0 0 0 2 3 6 7 7 8 8 8 4 1 1 1 2 2 3 3 4 5 6 7 7 7 7 There are values in the data set which are greater than or equal to 20 and less than or equal to 29. There are values in the data set which are greater than or equal to 10 and less than or equal to 19. There are values in the data set which are greater than or equal to 40 and less than or equal to 49.
What are the maximum and minimum heights of a tree with 28 nodes?
This box plot shows the heights (in feet) of a sample of pine trees.A pine tree that is 140 feet tall is added to the sample. How will this outlier affect the shape of the box plot?A.The new box plot will be positively skewed.B.The new box plot will be symmetric.C.The new box plot will look the same.D.The new box plot will be negatively skewed.
give me a stem and leaf plot problem
3 trees are located is a sample plot of 15m X 15m. their dbh are as under:dbh= 25cm, 30cm, 35cm find the stand basal area in sq m per Ha
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.