Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. 18 70 52 17 86 121 86 3 66 96 41 50 176 26 28 6 55 21 43 20 56 71 57 16 20 30 31 44 44 92 179 80 98 44 66 15 Click here for the Excel Data File (a) Calculate the mean, median, and mode. (Round your answers to 2 decimal places.) Mean Median Mode (b) Is the distribution skewed? Yes, the distribution is skewed right. No, the distribution is symmetric. Yes, the distribution is skewed left. (c) Is the mode a useful measure of center for this data set? Yes No
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.
Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills.
| 18 | 70 | 52 | 17 | 86 | 121 | 86 | 3 | 66 |
| 96 | 41 | 50 | 176 | 26 | 28 | 6 | 55 | 21 |
| 43 | 20 | 56 | 71 | 57 | 16 | 20 | 30 | 31 |
| 44 | 44 | 92 | 179 | 80 | 98 | 44 | 66 | 15 |
Click here for the Excel Data File
(a) Calculate the
| Mean | ||
| Median | ||
| Mode | ||
(b) Is the distribution skewed?
-
Yes, the distribution is skewed right.
-
No, the distribution is symmetric.
-
Yes, the distribution is skewed left.
(c) Is the mode a useful measure of center for this data set?
-
Yes
-
No
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