Question:
If the arithmetic mean of the following data is 7, then \( a + b = \)
\[
\begin{array}{|c|c|c|c|c|}
\hline
x_i & 4 & 6 & 7 & 9 \\
f_i & a & 4 & b & 5 \\
\hline
\end{array}
\]
If the arithmetic mean of the following data is 7, then \( a + b = \)
\[
\begin{array}{|c|c|c|c|c|}
\hline
x_i & 4 & 6 & 7 & 9 \\
f_i & a & 4 & b & 5 \\
\hline
\end{array}
\]
Show Hint
When working with data and the arithmetic mean, ensure that all values are known before solving for unknowns.
Updated On: Dec 11, 2025
- 4
- 2
- 3
- cannot be determined
Show Solution
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The Correct Option is D
Solution and Explanation
We are given that the arithmetic mean is 7. The formula for the arithmetic mean is:
\[
\frac{\sum f_i x_i}{\sum f_i} = 7
\]
However, without knowing the values for \( a \) and \( b \), we cannot determine the sum of \( a + b \). Hence, it cannot be determined.
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