2nd Numerical of Average Speed - Traffic Engineering - Transportation Engineering - I

TL;DR

In this video, the speaker explains how to calculate time mean speed and space mean speed using a frequency distribution table.

Transcript

hello students today we are going to solve second numerical of average speed now question is given as the result of a study is given in the form of frequency distribution table here the speed range is given that is 2 to 5 6 to 9 10 to 13 and 14 to 17 and in the next column frequency is given as 1 four zero seven now we have to calculate the time me... Read More

Key Insights

• 🐎 The video demonstrates how to calculate time mean speed and space mean speed using a frequency distribution table.
• 🧡 Mid values play a crucial role in these calculations and are obtained by averaging the speed ranges.
• 🐎 Time mean speed represents the average speed over a given time period, while space mean speed represents the overall average speed within the dataset.
• 🖕 The formulas used for these calculations involve multiplying frequencies with mid values and dividing frequencies by mid values.
• 🐎 The sum of all frequencies is essential for both time mean speed and space mean speed calculations.
• ⌛ In the given numerical problem, the time mean speed is calculated as 11.83 kilometers per hour, and the space mean speed is 9.44 kilometers per hour.
• 🐎 These measures provide valuable insights into the average speed characteristics of the studied dataset.

Questions & Answers

Q: What is the purpose of calculating time mean speed and space mean speed?

Time mean speed and space mean speed are statistical measures used to understand the average speed within a given dataset. They provide insights into the overall speed characteristics.

Q: How are mid values determined in this numerical problem?

Mid values are obtained by averaging the lower and upper limits of each speed range given in the frequency distribution table. For example, the mid value for the range 2 to 5 is (2 + 5) / 2 = 3.5.

Q: What is the formula for calculating time mean speed?

The formula for time mean speed is the sum of (mid value x frequency) divided by the sum of all frequencies. It measures the average speed over a specific time period.

Q: Can you explain the steps to calculate the space mean speed?

The space mean speed is calculated by dividing each frequency by its corresponding mid value and then summing up those results. The formula is: sum of all frequencies divided by the frequency of each individual term divided by the mid value.

Summary & Key Takeaways

• The video discusses the process of calculating time mean speed and space mean speed using a frequency distribution table.

• Mid values are obtained by averaging the speed ranges provided in the table.

• The frequencies are multiplied by their respective mid values and summed up to determine the time mean speed.

• To calculate the space mean speed, each frequency is divided by its corresponding mid value, and the results are summed up.