The mean, standard deviation, and count for age of customers who buy a BMX bicycle are?
The correct answer and explanation is:
To determine the mean, standard deviation, and count for the age of customers who buy a BMX bicycle, you would typically need access to actual customer data, such as a dataset collected from a survey, database, or a market research study. Since no dataset has been provided in your question, a specific numerical answer cannot be given.
However, here is a general explanation of how each of these statistical values is calculated and what they represent:
1. Mean (Average Age):
This is the sum of all customers’ ages divided by the total number of customers. It shows the central tendency of the age data.
Formula: Mean=∑Age of all customersNumber of customers\text{Mean} = \frac{\sum \text{Age of all customers}}{\text{Number of customers}}
Example:
If 5 customers are aged 10, 12, 14, 16, and 18:
Mean = (10 + 12 + 14 + 16 + 18) / 5 = 70 / 5 = 14
2. Standard Deviation (SD):
Standard deviation measures the amount of variation or dispersion of ages from the mean. A small SD means ages are close to the mean; a large SD means they vary widely.
Formula (for population SD): σ=1N∑(xi−μ)2\sigma = \sqrt{ \frac{1}{N} \sum (x_i – \mu)^2 }
Where:
- xix_i is each age value
- μ\mu is the mean
- NN is the number of data points
3. Count:
This is simply the total number of customers in the dataset who purchased a BMX bicycle. It is essential to know how many data points were used to calculate the mean and standard deviation.
In practice:
For example, if a bike shop collected data on 100 customers who bought BMX bicycles, and the average age was 15 with a standard deviation of 2 years, it means most customers are teens, and their ages don’t vary much.