https://file.aiquickdraw.com/mathbot/file/17266943073397o8ssxcx.jpg

The problem asks us to determine the total number of Roman coins in the museum collection. Here’s the information provided:

- The histogram represents the distribution of coin masses.
- 144 coins weigh between 8 g and 17 g.
- We need to work out the total number of coins in the collection.

### Steps to Solve:
1. **Analyze the Histogram**: 
   The histogram likely shows the frequency density of the coins within different mass ranges (bins). Each bar's area in a histogram represents the number of coins in that mass range.

2. **Identify the Range between 8 g and 17 g**: 
   Looking at the histogram, the bars that cover the range from 8 g to 17 g correspond to the 144 coins. We can calculate the area of these bars by measuring their height (frequency density) and width (mass range). The sum of these areas equals 144.

3. **Calculate the Total Number of Coins**: 
   By scaling the other areas of the histogram proportionally, we can estimate the total number of coins in the entire collection.

Let me break down the solution with more specific details. Could you clarify the bin sizes and frequency densities, or would you like me to attempt further analysis based on the image?

The masses of all the Roman coins in a museum are recorded in the histogram below. 144 of the coins each weigh between 8 g and 17 g. Work out how many Roman coins are in the museum's collection in total.

Learn how to calculate the total number of Roman coins in a museum collection based on the histogram data. The problem involves analyzing frequency density and using proportional scaling to determine the total coin count. Suitable for Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation