The list shows the amount of snow, in inches, that fell each day for 5 days. 8, 3, 12, 1, 1 What is the mean daily snowfall? A. 1 inch O B. 3 inches C. 4 inches O D. 5 inches
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.
![### Understanding Mean Daily Snowfall
The image provides information about the amount of snow, measured in inches, that fell each day over a span of 5 days. Below is the list of recorded snowfall:
- **Day 1:** 8 inches
- **Day 2:** 3 inches
- **Day 3:** 12 inches
- **Day 4:** 1 inch
- **Day 5:** 1 inch
#### Question: What is the mean daily snowfall?
To determine the mean (average) daily snowfall, we need to follow these steps:
1. **Sum of Snowfall Amounts:** Add up the total amount of snowfall over the 5 days.
\( 8 + 3 + 12 + 1 + 1 = 25 \) inches
2. **Number of Days:** Note that the recorded data spans 5 days.
3. **Calculate the Mean:** Divide the total snowfall by the number of days.
\[
\text{Mean Daily Snowfall} = \frac{\text{Total Snowfall}}{\text{Number of Days}} = \frac{25}{5} = 5 \text{ inches}
\]
Hence, the mean daily snowfall is:
**D. 5 inches**
### Multiple Choice Options:
- **A. 1 inch**
- **B. 3 inches**
- **C. 4 inches**
- **D. 5 inches**
The correct answer is **D.** 5 inches.
### Explanation:
The mean daily snowfall provides an average measure of how much snow fell per day over the observed period, helping to understand overall snowfall trends and preparing for similar future conditions. Calculating the mean is essential for many fields, including meteorology and environmental science, in analyzing and predicting weather patterns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3897ae1-c89e-4495-99d2-aa0da16eef7d%2Fd836368e-8ad7-4676-bb80-69229b812434%2Ftmagilb_processed.jpeg&w=3840&q=75)
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