Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. 164 14 76 77 34 127 164 71 58 107 61 92 74 81 91 160 164 113 14 103 19 142 25 125 55 106 112 42 121 9 151 58 45 111 21 23 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? multiple choice 1 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? multiple choice 2 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.
| 164 | 14 | 76 | 77 | 34 | 127 | 164 | 71 | 58 |
| 107 | 61 | 92 | 74 | 81 | 91 | 160 | 164 | 113 |
| 14 | 103 | 19 | 142 | 25 | 125 | 55 | 106 | 112 |
| 42 | 121 | 9 | 151 | 58 | 45 | 111 | 21 | 23 |
Click here for the Excel Data File
(a) Calculate the
| Mean | ||
| Median | ||
| Mode | ||
(b) Is the distribution skewed?
multiple choice 1
-
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?
multiple choice 2
-
Yes
-
No
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