The following data give the weekly amounts spent on groceries for a sample of households. $271 $363 $159 $ 76 $227 $337 $295 $319 $250 279 205 279 266 199 177 162 232 303 192 181 321 309 246 278 50 41 335 116 100 151 240 474 297 170 188 320 429 294 570 342 279 235 434 123 325 a. Create a frequency table of 9 classes b. find and Interpret the mean and median of the distribution c. find the variance and standard deviation -
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 following data give the weekly amounts spent on groceries for a sample of households.
|
$271 |
$363 |
$159 |
$ 76 |
$227 |
$337 |
$295 |
$319 |
$250 |
|
279 |
205 |
279 |
266 |
199 |
177 |
162 |
232 |
303 |
|
192 |
181 |
321 |
309 |
246 |
278 |
50 |
41 |
335 |
|
116 |
100 |
151 |
240 |
474 |
297 |
170 |
188 |
320 |
|
429 |
294 |
570 |
342 |
279 |
235 |
434 |
123 |
325 |
a. Create a frequency table of 9 classes
b. find and Interpret the mean and median of the distribution
c. find the variance and standard deviation -
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