he file AccountingPartners contains the number of partners in a cohort of rising accounting firms that have been tagged as “firms to watch.” The firms have the following numbers of partners: 16 21 27 11 33 20 30 27 31 15 21 20 28 34 23 17 29 13 16 16 13 16 21 17 10 19 10 10 20 25 11 14 13 16 Compute the mean, median, and mode. Compute the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain. Are the data skewed? If so, how? Based on the results of (a) through (c), what conclusions can you reach concerning the number of partners in rising accounting firms?
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.
he file AccountingPartners contains the number of partners in a cohort of rising accounting firms that have been tagged as “firms to watch.” The firms have the following numbers of partners:
| 16 | 21 | 27 | 11 | 33 | 20 | 30 | 27 | 31 | 15 | 21 | 20 | 28 | 34 | 23 | 17 | 29 |
| 13 | 16 | 16 | 13 | 16 | 21 | 17 | 10 | 19 | 10 | 10 | 20 | 25 | 11 | 14 | 13 | 16 |
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Compute the mean,
median , andmode . -
Compute the variance, standard deviation,
range , coefficient of variation, and Z scores. Are there any outliers? Explain. -
Are the data skewed? If so, how?
-
Based on the results of (a) through (c), what conclusions can you reach concerning the number of partners in rising accounting firms?
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