Question

On an average 300 people watch the movie in Sahu Cinema hall on Monday, Tuesday and Wednesday and the averast number of visitors on Thursday and Friday is 250. If te average number of visitors per day in the week be 400 , then the average number of people who watch the movie weekends (i.e, on Saturday and Sunday) is:

Short answer

Answer: 700 visitors

Step-by-step solution

Calculate the total number of visitors on Monday-Wednesday

Since the average number of visitors on Monday, Tuesday, and Wednesday is 300, we can calculate the total number of visitors on these days: Total visitors (Mon-Wed) = Average(Mon-Wed) * Number of days Total visitors (Mon-Wed) = 300 * 3 = 900 visitors

Calculate the total number of visitors on Thursday-Friday

Given that the average number of visitors on Thursday and Friday is 250, we can calculate the total number of visitors on these days: Total visitors (Thu-Fri) = Average(Thu-Fri) * Number of days Total visitors (Thu-Fri) = 250 * 2 = 500 visitors

Calculate the total number of visitors in a week

The average number of visitors per day for the entire week is 400. Therefore, we can determine the total number of visitors in a week as follows: Total visitors (Week) = Average(Week) * Number of days Total visitors (Week) = 400 * 7 = 2800 visitors

Calculate the total number of visitors on weekends (Saturday-Sunday)

Subtract the total number of visitors from Monday to Friday from the total number of visitors in a week: Total visitors (Weekends) = Total visitors (Week) - Total visitors (Mon-Fri) Total visitors (Weekends) = 2800 - (900 + 500) = 2800 - 1400 = 1400 visitors

Calculate the average number of visitors on weekends (Saturday-Sunday)

Divide the total number of visitors on weekends by the number of weekend days to find the average: Average(Weekends) = Total visitors (Weekends) / Number of days Average(Weekends) = 1400 / 2 = 700 visitors So, the average number of people who watch the movie on weekends (Saturday and Sunday) is 700 visitors.

Key concepts

Arithmetic Mean

Arithmetic Mean, commonly known as the average, is a basic concept used to find a central value among a collection of numbers. To calculate the arithmetic mean, you add up all the values and divide by the number of values. For instance, if three numbers are given, their sum would be divided by three to get the mean. It is expressed mathematically as: \[ \text{Arithmetic Mean} = \frac{\text{Sum of values}}{\text{Number of values}} \]Imagine you have the number of visitors to a cinema over several days. If you know the daily visitor counts for specific days, the arithmetic mean helps to find an average number of visitors per day over that period. This calculation acts as a useful tool for analyzing trends and making comparisons.

Weekly Analysis

Weekly analysis involves evaluating data collected over a week to identify patterns, trends, or averages. In the context of visitor statistics, weekly analysis can help in understanding peak days or predicting future trends based on past data. To perform a weekly analysis on visitor data:

• First, gather data for each day of the week.
• Calculate the total number of visitors for the week.
• Determine the average number of visitors per day using the arithmetic mean.

This weekly average paints a picture of visitor behavior and incorporates fluctuations, such as busier weekends or quieter weekdays. Understanding these patterns aids in making informed decisions, like scheduling additional staff or planning promotions.

Visitor Statistics

Visitor statistics are vital for businesses like cinemas, helping them understand customer behavior trends. By analyzing visitor statistics, businesses can identify busy periods, slow periods, and overall weekly attendance patterns. In this exercise, visitor statistics were used to calculate:

• The average daily visitors for specific weekdays (Monday to Wednesday, and Thursday to Friday).
• The total weekly visitors based on the given average per day.
• The average weekend visitors (Saturday and Sunday).

Suppose a cinema discovers it has higher visitor turnout during weekends based on these statistics. In that case, it can capitalize on this trend by offering special weekend promotions. This data-driven approach not only improves business efficiency but also enhances customer satisfaction.