Transcribed Image Text:**Title: Analyzing Monthly Coffee Expenses Among College Students**
A survey was conducted among college students to determine their monthly spending on coffee. Below is a detailed breakdown of the data collected, showcasing the distribution of how much students spend on average.
**Monthly Coffee Cost ($) | Number of Students**
- $10.00 - $19.99: 6 students
- $20.00 - $29.99: 13 students
- $30.00 - $39.99: 26 students
- $40.00 - $49.99: 14 students
- $50.00 - $59.99: 9 students
**Analysis:**
The data reveals that the most common spending range is $30.00 - $39.99, with 26 students falling into this category. This suggests that a significant proportion of students spend moderately on coffee each month. On the other hand, fewer students (6) are in the lowest spending category of $10.00 - $19.99.
To approximate the mean monthly coffee cost for these students, consider using the midpoint of each spending range, multiply by the number of students, sum the results, and then divide by the total number of students. This provides an estimate of the average monthly spending on coffee among the sample group.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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