Question

In: Statistics and Probability

The mode is which of the following? The most frequently occurring value in a data set...

The mode is which of the following?

The most frequently occurring value in a data set

The middle most occurring value in a set of values

The difference between the highest and lowest values in a set

The arithmetic average of a set of values.

Expert Solution

Here is a multiple choice question and we have to choose the correct option.

Our given question is,

Q) The mode is which of the following?

The most frequently occurring value in a data set
The middle most occurring value in a set of values
The difference between the highest and lowest values in a set
The arithmetic average of a set of values.

Now before we go on to solve the problem let us explore all the options in our problem,

Now we clearly know that in a given data set the most frequent occuring value is called the Mode of the data.

Hence the most frequently occurring value in a data set is Mode.

Now we clearly know that in a given data set the middle most value is called the Median of the data.

For a data arranged in ascending order the Median is given by,

Hence the middle most occurring value is called the Median of the data.

Now we clearly know that in a given data set the difference between the highest and lowest values in a set is called the range of the data.

The Range of a data set is given by,

Hence the difference between the highest and lowest values in a set is called the range of the data

Now we clearly know that in a given data set the arithmetic average of a set of values is called the Mean of the data.

The Mean of a data set is given by,

Hence the arithmetic average of a set of values is called the Mean of the data.

orchestra answered 2 years ago

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