The data (Prob04-06 in Ch04Data.xlsx on the Student Companion Site) represent the weight of castings (in kilograms)
Question:
The data (Prob04-06 in Ch04Data.xlsx on the Student Companion Site) represent the weight of castings (in kilograms) being made in the Harrison Metalwork foundry. Based on this sample of 100 castings, compute the mean, standard deviation, and other relevant statistics, as well as a frequency distribution and histogram. What do you conclude from your analysis?
Harrison Metalwork Foundry | ||||||||||||||||||||
Descriptive Statistics and Frequency Chart | ||||||||||||||||||||
This spreadsheet is designed for up to 100 pieces of data Enter data ONLY in yellow-shaded cells. | ||||||||||||||||||||
Note: The Histogram macro and the Descriptive Statistics macro have been used to develop this solution. | ||||||||||||||||||||
They can be loaded into the Data menu during standard setup of Excel. | ||||||||||||||||||||
If available, they will show up as the Data Analysis label on the Data menu. | ||||||||||||||||||||
SORTED | ||||||||||||||||||||
DATA | Frequency Table | |||||||||||||||||||
1 | 37 | |||||||||||||||||||
2 | 38 | Upper Cell | Cumulat. | |||||||||||||||||
3 | 38 | Boundaries | Frequencies | Freq. | Cumulative % | |||||||||||||||
4 | 38 | |||||||||||||||||||
5 | 38 | Cell 1 | 37.5 | 1 | 1 | 1.00% | ||||||||||||||
6 | 38 | Cell 2 | 37.8 | 3 | 4 | 4.00% | ||||||||||||||
7 | 38 | Cell 3 | 38.1 | 8 | 12 | 12.00% | ||||||||||||||
8 | 38 | Cell 4 | 38.4 | 26 | 38 | 38.00% | ||||||||||||||
9 | 38 | Cell 5 | 38.7 | 29 | 67 | 67.00% | ||||||||||||||
10 | 38 | Cell 6 | 39.0 | 15 | 82 | 82.00% | Original Data set | |||||||||||||
11 | 38 | Cell 7 | 39.3 | 13 | 95 | 95.00% | ||||||||||||||
12 | 38 | Cell 8 | 39.6 | 4 | 99 | 99.00% | 38.1 | 38.5 | 38.3 | 37.3 | 38.4 | 39.2 | 38.9 | 38.7 | 39.0 | 38.6 | ||||
13 | 38 | Cell 9 | 39.9 | 1 | 100 | 100.00% | 38.1 | 38.5 | 38.4 | 37.6 | 38.4 | 39.2 | 38.9 | 38.7 | 39.0 | 38.6 | ||||
14 | 38 | 38.2 | 38.5 | 38.4 | 37.7 | 38.4 | 39.3 | 38.9 | 38.7 | 39.1 | 38.7 | |||||||||
15 | 38 | Descriptive Statistics | 38.2 | 38.5 | 38.4 | 37.8 | 38.4 | 39.3 | 38.9 | 38.7 | 39.1 | 38.7 | ||||||||
16 | 38 | Mean | 38.6320 | 38.3 | 38.6 | 38.4 | 37.9 | 38.4 | 39.3 | 38.9 | 38.7 | 39.1 | 38.7 | |||||||
17 | 38 | Standard Error | 0.0444 | 38.3 | 38.6 | 38.4 | 37.9 | 38.4 | 39.4 | 39.0 | 38.7 | 39.1 | 38.7 | |||||||
18 | 38 | Median | 38.6000 | 38.3 | 38.6 | 38.4 | 37.9 | 38.4 | 39.4 | 39.0 | 38.7 | 39.1 | 38.7 | |||||||
19 | 38 | Mode | 38.4000 | 38.3 | 38.6 | 38.4 | 38.1 | 38.4 | 39.5 | 39.0 | 38.8 | 39.1 | 38.7 | |||||||
20 | 38 | Standard Deviation | 0.4436 | 38.3 | 38.6 | 38.4 | 38.1 | 38.5 | 39.6 | 39.0 | 38.8 | 39.2 | 38.7 | |||||||
21 | 38 | Sample Variance | 0.1967 | 38.3 | 38.6 | 38.4 | 38.1 | 38.5 | 39.9 | 39.0 | 38.8 | 39.2 | 38.7 | |||||||
22 | 38 | Kurtosis | 0.5580 | |||||||||||||||||
23 | 38 | Skewness | -0.0247 | |||||||||||||||||
24 | 38 | Range | 2.6000 |