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State whether the statement is true or false. The mode of observations \(23, 26, 15, 12, 28, 38, 19, 23, 26, 23\) is \(28\).___
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Question

State whether the statement is true or false. The mode of observations \(23, 26, 15, 12, 28, 38, 19, 23, 26, 23\) is \(28\).___

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Solution

We have, \(23, 26, 15, 12, 28, 38, 19, 23, 26, 23\)
Arrange the terms in ascending order, We get
\(12,15,19, 23, 23,23,26, 26,28, 38 \)
We know Mode is the most occuring observation .
We can see that \(23\) is repeated \(3\) times,So \(23 \) is the mode.
Hence given statement is false.
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