An executive’s telephone log showed the lengths of 60 calls initiated during the last week of July. 1 2 10 5 3 3 2 20 1 1 6 3 13 2 2 1 26 3 1 3 1 2 1 7 1 2 3 1 2 12 1 4 2 2 29 1 1 1 8 5 1 4 2 1 1 1 1 6 1 2 3 3 6 1 3 1 1 5 1 18 (A) Find the mean, median, and mode. (Round your answers to 2 decimal places.) Descriptive Statistics Data count Mean Median Mode (B) Do the measures of center agree? Yes No (C) Are the data symmetric or skewed? If skewed, which direction? Yes, the data are skewed to the right. No, the distribution is symmetric. Yes, the data are skewed to the left.
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.
An executive’s telephone log showed the lengths of 60 calls initiated during the last week of July.
| 1 | 2 | 10 | 5 | 3 | 3 | 2 | 20 | 1 | 1 |
| 6 | 3 | 13 | 2 | 2 | 1 | 26 | 3 | 1 | 3 |
| 1 | 2 | 1 | 7 | 1 | 2 | 3 | 1 | 2 | 12 |
| 1 | 4 | 2 | 2 | 29 | 1 | 1 | 1 | 8 | 5 |
| 1 | 4 | 2 | 1 | 1 | 1 | 1 | 6 | 1 | 2 |
| 3 | 3 | 6 | 1 | 3 | 1 | 1 | 5 | 1 | 18 |
(A) Find the mean, median, and
| Descriptive Statistics |
Data | |
| count | ||
| Mean | ||
| Median | ||
| Mode | ||
(B) Do the measures of center agree?
-
Yes
-
No
(C) Are the data symmetric or skewed? If skewed, which direction?
-
Yes, the data are skewed to the right.
-
No, the distribution is symmetric.
-
Yes, the data are skewed to the left.
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