Practice Problems: Arrays Using The Scenario Below
5 5 Practice Problems Arraysusing The Scenario Below Answer The Foll
5-5 Practice Problems: Arrays Using the scenario below, answer the following questions: You are preparing for the Boston Marathon. In order to prepare, you need to train for 10 weeks, running an increasing number of miles per week, starting at running at least 2 miles your first week up to 26 miles by week 10. 1.) Initialize the array with the appropriate number of values. 2.) What is the value in the array element when the index contains 2? 3.) What is your list length? 4.) Calculate the sum of the total miles you spent running over the 10 weeks. Calculate the average number of miles you ran. 5.) Write a search to determine whether 4 is on your list.
Paper For Above instruction
The preparation for the Boston Marathon involves a carefully structured training program that spans ten weeks, gradually increasing the weekly mileage to build endurance and prevent injury. This scenario provides an excellent context for practicing array manipulations, calculations, and searching algorithms in programming. This essay will demonstrate how to initialize an array to store weekly mileage, retrieve specific values, determine the array length, compute total and average miles, and search for specific mileage values within the array.
Initializing the Array with Mileage Data
The first step in this problem requires creating an array to store weekly mileage over ten weeks. Since the initial week's mileage is at least 2 miles, and by the tenth week, the mileage reaches 26 miles, we assume a progressive increase in weekly miles. A typical way to model this increase is to define an array with ten elements, where each element corresponds to the miles run during that week.
Assuming a linear increase, the weekly distances could be: 2, 4, 6, 8, 10, 12, 14, 16, 24, 26. To simplify, or in case of specific training plans, the array could be manually set according to the actual planned distances. For the purpose of this problem, an illustrative array might be:
```java
int[] weeklyMiles = {2, 4, 6, 8, 10, 12, 14, 16, 24, 26};
```
This array has ten elements, each representing a week's mileage.
Value at Index 2 of the Array
In most programming languages like Java, array indices start at 0. Consequently, index 2 refers to the third element of the array. In our array:
```java
weeklyMiles[0] = 2
weeklyMiles[1] = 4
weeklyMiles[2] = 6
...
```
The value at index 2 is 6 miles. This value correlates to the third week of training, assuming zero-based indexing.
Determining the Array Length
The length of an array is the total number of elements it contains. Since we initialized the array with ten weekly miles, the length is 10. In most programming languages, this can be obtained through a property or method, for example:
```java
int length = weeklyMiles.length; // Java
```
which yields a length of 10.
Calculating Total and Average Miles
Total miles trekked over the ten weeks can be calculated by summing all array elements. Using a loop or built-in functions:
```java
int sum = 0;
for(int i = 0; i
sum += weeklyMiles[i];
}
```
In our example array, the total is:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 24 + 26 = 122 miles.
The average miles per week are obtained by dividing the total miles by the number of weeks, which is 10:
```java
double average = (double)sum / weeklyMiles.length; // Resulting in 12.2 miles
```
This average provides a measure of weekly training load, which is key for monitoring progress and ensuring balanced training.
Searching for a Specific Mileage in the Array
To determine whether a mileage value of 4 exists in the array, a search algorithm such as linear search is appropriate:
```java
boolean found = false;
for(int i = 0; i
if(weeklyMiles[i] == 4) {
found = true;
break;
}
}
```
Alternatively, depending on programming language features, functions like `Arrays.asList().contains()` in Java could simplify this task. If the value 4 is present, `found` will be `true`; otherwise, false.
Conclusion
This exercise encapsulates fundamental array operations—initialization, element access, length determination, summing, averaging, and searching—that are central to programming. Using a real-world scenario, such as marathon training, makes these concepts tangible and enhances understanding. Properly managing such data structures allows athletes and coaches to analyze training data effectively, ensuring optimal preparation for a major event like the Boston Marathon.
References
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