The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Complete the table. Round values to the nearest tenth as needed. solve for XF f Midpoint x xf 3 70.5 14 92.5 24 114.5 8 136.5 1 158.5 Σf= Find the mean of the data set. x= (Round to the nearest tenth as needed.) Complete the table. Round values to the nearest tenth as needed. Solve for x-x,x-x2,x-x2f Midpoint x x−x x−x2 x−x2f 70.5 92.5 114.5 136.5 158.5 Σx−x2f= Find the sample standard deviation of the data set. s = (Round to the nearest hundredth as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set.
Complete the table. Round values to the nearest tenth as needed.
solve for XF
|
f
|
Midpoint x
|
xf
|
|
|
|
| 3 |
70.5
|
|
|
|
| 14 |
92.5
|
|
|
|
| 24 |
114.5
|
|
|
|
| 8 |
136.5
|
|
|
|
| 1 |
158.5
|
|
|
|
|
Σf=
|
Complete the table. Round values to the nearest tenth as needed.
Solve for x-x,x-x2,x-x2f
|
Midpoint x
|
x−x
|
x−x2
|
x−x2f
|
|
|
|
70.5
|
|
|
|
92.5
|
|
|
114.5
|
|
|
|
136.5
|
|
|
|
158.5
|
|
|
|
|
Σx−x2f=
|
(Round to the nearest hundredth as needed.)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
