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# 统计代写|统计入门代写Introduction to Statistics代考|KMA153 What Is the Mode, and How Is It Computed?

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## 统计代写|统计入门代写Introduction to Statistics代考|What Is the Mode, and How Is It Computed?

he mode is the value that occurs most frequently in a group of values, and it is computed by counting the number of times a value appears and identifying the one that occurs most frequently.

For example, look at the following set of values. Here we are defining a value as the label attached to a particular outcome-in this case, different colors.
\begin{tabular}{|l|l|l|l|l|}
\hline Red & Blue & Blue & Gray & Violet \
\hline Yellow & Blue & Blue & Gray & Violet \
\hline Yellow & Blue & Blue & Gray & Violet \
\hline Yellow & Blue & Gray & Violet & Violet \
\hline Blue & Blue & Gray & Violet & Violet \
\hline
\end{tabular}
If you count the frequency that each value appears, you end up with the following:
\begin{tabular}{|l|c|}
\hline Value & Frequency \
\hline Red & 1 \
\hline Yellow & 3 \
\hline Blue & 9 \
\hline Gray & 5 \
\hline Violet & 7 \
\hline
\end{tabular}
The most frequently occurring value is Blue (which appears nine times), so the mode is the value Blue.

One of the most common errors made regarding the mode is reporting the mode as the frequency with which a value occurs rather than the value itself. So, in the above example, the mode is not 9 but rather is the value that appears most often, or Blue.

One important thing to remember about the mode is that if all the values in a set of data occur with equal frequency, then that set of data does not have mode. Also, a set of data can have more than one mode. When there are two modes, the distribution of values is referred to as bimodal.

## 统计代写|统计入门代写Introduction to Statistics代考|What Is an Example of How the Mode Can Be Used?

he mode is the least precise measure of central tendency because it deals with the frequency of a value’s occurrence rather than the value itself. However, if one were charged with computing the most central value to represent a set of labels, the mode would be the most appropriate measure of central tendency.

For example, here is a list of the number of members who identify with five different political parties.
\begin{tabular}{|c|c|}
\hline Party & Number of Members \
\hline A & 587 \
\hline B & 456 \
\hline C & 454 \
\hline D & 876 \
\hline E & 194 \
\hline
\end{tabular}
In this example, the mode is Party $\mathrm{D}$, the party that occurs most frequently.

In the following bimodal example, there are two values that occur with equal frequency.
\begin{tabular}{|c|c|}
\hline Party & Number of Members \
\hline A & 876 \
\hline B & 456 \
\hline C & 454 \
\hline D & 876 \
\hline E & 194 \
\hline
\end{tabular}

Both Party A and Party D occur with the same frequency and so are both modes in this distribution of scores. Consequently, the distribution is bimodal in nature. A bimodal distribution would have two “high points” or humps, as you see in Figure $14.1$.

## 统计代写|统计入门代写Introduction to Statistics代考|What Is an Example of How the Mode Can Be Used?

$A$ 方和 D 方都以相同的频率出现，并且在这种分数分布中都是两种模式。因此，分布本质上是双峰的。如图所示，双峰分布将有 两个”高点”或驼峰14.1.

## MATLAB代写

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