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In the following frequency distribution ...

In the following frequency distribution :
`{:(x,0,1,3,5,6,8,10),(f,2,6,7,21,19,15,3):}`
The mode is

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The correct Answer is:
To find the mode of the given frequency distribution, we will follow these steps: 1. **Identify the frequency distribution**: We have the values of \( x \) and their corresponding frequencies \( f \): - \( x = (0, 1, 3, 5, 6, 8, 10) \) - \( f = (2, 6, 7, 21, 19, 15, 3) \) 2. **Find the maximum frequency**: We need to determine which frequency is the highest among the given frequencies. - The frequencies are: 2, 6, 7, 21, 19, 15, 3. - The maximum frequency is \( 21 \). 3. **Identify the corresponding value of \( x \)**: Now, we need to find the value of \( x \) that corresponds to this maximum frequency. - The maximum frequency \( 21 \) corresponds to \( x = 5 \). 4. **Conclusion**: Therefore, the mode of the frequency distribution is \( 5 \). ### Final Answer: The mode is \( 5 \).
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