To solve the problem, we need to find the ratio of two groups of families based on their monthly expenditures on education. Let's break it down step by step:
### Step 1: Identify Families with Monthly Expenditures Below ₹2,500
From the bar graph, we need to find the number of families whose expenditures are below ₹2,500. According to the video transcript, we have:
- 35 families with expenditures between ₹1,500 and ₹2,000
- 23 families with expenditures between ₹2,000 and ₹2,500
Now, we add these two numbers together:
\[
\text{Total families below ₹2,500} = 35 + 23 = 58
\]
### Step 2: Identify Families with Monthly Expenditures Between ₹4,000 and ₹6,000
Next, we need to find the number of families whose expenditures are ₹4,000 or above but less than ₹6,000. The relevant data from the bar graph includes:
- 65 families with expenditures of ₹4,000
- 52 families with expenditures of ₹4,000 to ₹5,000
- 43 families with expenditures of ₹5,000 to ₹6,000
- 30 families with expenditures of ₹6,000 (but we only consider up to ₹6,000)
Now, we add these numbers together:
\[
\text{Total families between ₹4,000 and ₹6,000} = 65 + 52 + 43 + 30 = 190
\]
### Step 3: Calculate the Ratio
Now that we have both totals, we can find the ratio of families whose expenditures are below ₹2,500 to those whose expenditures are between ₹4,000 and ₹6,000:
\[
\text{Ratio} = \frac{\text{Families below ₹2,500}}{\text{Families between ₹4,000 and ₹6,000}} = \frac{58}{190}
\]
### Step 4: Simplify the Ratio
To simplify the ratio \( \frac{58}{190} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 58 and 190 is 2.
\[
\frac{58 \div 2}{190 \div 2} = \frac{29}{95}
\]
Thus, the simplified ratio is:
\[
\text{Ratio} = 29 : 95
\]
### Final Answer
The ratio of the number of families whose monthly expenditures on education are below ₹2,500 to the number of families whose monthly expenditures on education are ₹4,000 or above but less than ₹6,000 is:
\[
\text{Final Answer} = 29 : 95
\]
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