MS 150 Statistics quiz 05 5.3 • Name:
| m (g) |
|---|
| 4.4 |
| 4.6 |
| 4.7 |
| 4.7 |
| 4.8 |
| 4.9 |
| 4.9 |
| 4.9 |
| 4.9 |
| 5.0 |
| 5.0 |
| 5.1 |
| 5.1 |
| 5.1 |
| 5.1 |
| 5.1 |
| 5.1 |
| 5.1 |
| 5.2 |
| 5.3 |
| 5.3 |
| 5.3 |
| 5.3 |
| 5.4 |
| 5.5 |
| 5.6 |
| 5.6 |
| 5.7 |
| 5.8 |
| 5.4 |
Thirty marbles were individually placed on a mass balance to determine their mass m in grams
- __________ Find the sample size n for the data.
- __________ Find the median.
- __________ Find the mode.
- __________ Find the sample mean x.
- __________ If this data were to be divided into seven classes, what would be the width of a single class?
- __________ Determine the frequency and calculate the relative frequency using seven classes. Record your results in the table provided.
Frequency table
| Class upper limits (x) | Frequency (f) | Relative Frequency p(x) |
|---|
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| Sum: |
| |
- Sketch a relative frequency histogram chart on this paper.
- ____________________ What is the shape of the distribution?
- p(x ≤ 4.8) = ____________________ What is the probability a marble will be less than or equal to 4.8 g?
- p(x > 5.6) = ____________________ What is the probability a marble will be more than 5.6 g?
- p( 4.8 < x ≤ 5.6) = ____________________ What is the probability a marble will greater than 4.8 g and less than or equal to 5.6g?
- Can a die be one sided? If yes, what would be the shape?