Math 227 Collection Homework #1 Name: The following data represent the lengths i
ID: 3350021 • Letter: M
Question
Math 227 Collection Homework #1 Name: The following data represent the lengths in inches of 27 fish that were caught in a lake: 28B 8.9,9, 10, 11, 11,11, la rann 14AS 17, 17, 17,18, 20, 20.21, 24. 27, 28, 31, 47 Create a histogram of the data with classes of width 5 startingat zero Comment on the center, shape, and spread of the data ldentily any outliers 1. S- 9 s-19 2. The following data represent the hours of study before a test and the grade on the test for several students 122 3 3 4 S 5 6 67 7 8 10 64 97 60 72 78 76 80 88 94 90 92 63 93 91 Create a scatterplot and comment on the trend of the data. Identify any outliers.Explanation / Answer
Class Interval (Length of Fish (in inches)) Number of fish (Frequency)
0-5 0
5-10 6
10-15 12
15-20 5
20-25 4
25-30 2
30-35 1
35-40 1
40-45 1
45-50 1
QUESTION NO 1:
1. Step1: Start creating continuous class interval (CI) from with width 5 i.e. 0-5, 5-10, …45-50 (to cover all points). The intervals must be consecutive and non-overlapping.
2. Step 2: Corresponding to each CI write the number of fish (frequency) falling in that interval. Remember excluding upper class limit i.e 15-20 means greater than equal to 15 but less than 20. So fish with length 20 will fall in interval 20-25 and not in 15-20. Hence your frequency table is created
3. Create a graph with CI on X axis and Freq on Y axis.
4. Below is the Histogram
5.
6. Fish of length 47 inches is a clear outlier
7. Max number of fish fall in the interval 15-20 inches, hence this is the modal class and we can say that on an average fish has length in the interval 15-20 inches. Going by data, 17 has max frequency hence the mode is 17 inches
8. Mean is 16.5 inches (Mean = Sum of all observations/ Number of observations)
9. Data is slightly rightly skewed as shown in graph (Mode> Mean)
QUESTION NO 2:
1. Scatter plot- Plotting Hours of study on X axis (Independent var) and Grades (Dependent Var) on Y axis
2. It shows a positive relationship between the two where there is increase in grade on increasing the number of hours of study
3. (2,97) and (7, 63) are clear outliers for above stated and have been marked in Red