We are going to calculate the mean, median, and mode for two sets of data. Please show your answer te one decimal place if necessary. Here is the first data set. 48 78 53 22 45 42 61 | 97 | 87 | 22 54 a. what is the mean (T) of this data set? b. What is the median of this data set? c. What is the mode of this data set?
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.
![### Calculating Mean, Median, and Mode: An Educational Exercise
We are going to calculate the mean, median, and mode for two sets of data. **Please show your answer to one decimal place if necessary.**
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**Here is the first data set:**
\[ 48, 78, 53, 22, 45, 42, 61, 97, 87, 22, 54 \]
a. **What is the mean (\(\bar{x}\)) of this data set?**
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b. **What is the median of this data set?**
\[ \boxed{} \]
c. **What is the mode of this data set?**
\[ \boxed{} \]
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**Here is the second data set:**
\[ 49, 84, 44, 89, 74, 26, 80, 39, 92, 49 \]
d. **What is the mean (\(\bar{x}\)) of this data set?**
\[ \boxed{} \]
e. **What is the median of this data set?**
\[ \boxed{} \]
f. **What is the mode of this data set?**
\[ \boxed{} \]
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Use this exercise to practice calculating these measures of central tendency. The mean is the average of the data points, the median is the middle value when the data points are ordered from least to greatest, and the mode is the value that appears most frequently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07eedd0d-121f-4b38-8aa1-4108ea76d137%2Ff24f1101-5e27-46fe-8996-f4cf1db67d87%2F0ohudf6_processed.png&w=3840&q=75)
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