Questions: Count = 200 How are you feeling today? Frequency Percent of Total Cumulative Frequency Cumulative Percent of Total --------------- Bad 54 Great 74 Meh 72 x What is x?

Count = 200 How are you feeling today? Frequency Percent of Total Cumulative Frequency Cumulative Percent of Total --------------- Bad 54 Great 74 Meh 72 x What is x?
Transcript text: Count $=200$ \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} How are \\ you \\ feeling \\ today? \end{tabular} & Frequency & \begin{tabular}{c} Percent \\ of Total \end{tabular} & \begin{tabular}{c} Cumulative \\ Frequency \end{tabular} & \begin{tabular}{c} Cumulative \\ Percent of \\ Total \end{tabular} \\ \hline Bad & 54 & & & \\ \hline Great & 74 & & & \\ \hline Meh & 72 & & & $x$ \\ \hline \end{tabular} What is $x$ ?
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Solution

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Solution Steps

To find the cumulative percent of total for the "Meh" category, we need to calculate the cumulative frequency up to "Meh" and then divide it by the total count. The cumulative frequency for "Meh" is the sum of the frequencies for "Bad", "Great", and "Meh". The cumulative percent is then this cumulative frequency divided by the total count, multiplied by 100 to convert it to a percentage.

Step 1: Calculate Cumulative Frequency for "Meh"

To find the cumulative frequency for the "Meh" category, sum the frequencies of the "Bad", "Great", and "Meh" categories: \[ \text{Cumulative Frequency for Meh} = 54 + 74 + 72 = 200 \]

Step 2: Calculate Cumulative Percent of Total for "Meh"

The cumulative percent of total for "Meh" is calculated by dividing the cumulative frequency by the total count and then multiplying by 100 to convert it to a percentage: \[ \text{Cumulative Percent for Meh} = \left(\frac{200}{200}\right) \times 100 = 100.0 \]

Final Answer

The cumulative percent of total for "Meh" is \(\boxed{100.0}\).

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