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The data displayed here represent the electricity cost 
(
$
)
 ﻿during the month of July 
2
0
0
3
 ﻿for a random
sample of 
5
0
 ﻿two
-
bedroom apartments in a large city.
a
.
 ﻿Construct a "less than" frequency distribution by starting with $
8
0
 ﻿and using equal class interval of
$
2
0
.

To construct a "less than" frequency distribution using the provided electricity cost data for 50 two-bedroom apartments and starting at $80 with a class interval of $20, we will follow these steps:

1. **Class Intervals**: The first class will be "$80 - less than $100", then "$100 - less than $120", and so on, using a class interval of $20.

2. **Tallying the Frequencies**: We'll count how many values fall into each class interval.

I'll begin by listing out the class intervals and tallying the frequencies based on the data you provided.

Let's go ahead and calculate it.Here is the "less than" frequency distribution for the electricity cost data with class intervals of $20, starting from $80:

- **$80 - less than $100**: Cumulative Frequency = 8
- **$100 - less than $120**: Cumulative Frequency = 19
- **$120 - less than $140**: Cumulative Frequency = 27
- **$140 - less than $160**: Cumulative Frequency = 38
- **$160 - less than $180**: Cumulative Frequency = 45
- **$180 - less than $200**: Cumulative Frequency = 49
- **$200 - less than $220**: Cumulative Frequency = 51

The cumulative frequency indicates how many data points are less than the upper bound of each class interval.

Would you like a more detailed breakdown or any clarifications? Here are five related questions for deeper exploration:

1. How would the distribution change with a different class interval, say $10?
2. Can you calculate the mean and median electricity cost for this data?
3. What is the mode of the electricity cost data?
4. How can you create a histogram from this distribution?
5. What does this distribution tell us about electricity costs in the sample?

**Tip**: A "less than" frequency distribution is helpful for quickly determining how many observations fall below a certain threshold.

The data displayed here represent the electricity cost ($) during the month of July 2003 for a random sample of 50 two-bedroom apartments in a large city. Construct a 'less than' frequency distribution by starting with $80 and using equal class interval of $20.

This problem involves constructing a 'less than' frequency distribution for electricity costs during July 2003. Starting from $80 and using a $20 class interval, you'll learn how to tally frequencies and calculate cumulative distributions.

Math Problem Statement

The data displayed here represent the electricity cost ( $ ) during the month of July 2 0 0 3 for a random sample of 5 0 two

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