Algebra-1

Question Analysis
This question tests the student's ability to calculate the mean, median, and mode of a given data set. The data set provided is a sequence of numbers, and the student needs to perform multiple calculations to find these measures of central tendency.

Key Concept Explanation
Mean: The arithmetic average of the data set, calculated by summing all the data points and dividing by the number of data points.
Median: The middle value in the data set when arranged in ascending or descending order. If the number of data points is even, the median is the average of the two middle numbers.
Mode: The value that appears most frequently in the data set. A data set can have one mode, multiple modes, or no mode.

Step-by-step Solution
1. Calculate the mean:
Sum all the data points: 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 + 55 + 60 + 65 + 70 + 75 + 80 + 85 + 90 + 95 + 100 + 105 + 110 + 115 + 120 + 125 + 130 + 135 + 140 + 145 + 150 = 2,310
Count the number of data points: There are 28 data points.
Divide the total by the number of data points: 2,310 ÷ 28 = 82.5
2. Calcul...