Question:

The mode of the following series $ 3, 4, 2, 1, 7, 6, 7, 6, 8, 6, 5$ is

Updated On: Jul 29, 2023
  • 5
  • 6
  • 7
  • 8
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The Correct Option is B

Solution and Explanation

There is a distinct set of data provided in the query. The item that repeats itself the most times is therefore considered the mode of the given series, according to the inspection technique of mode determination. Since 6 occurs most of the times in the given series.

∴ Mode of the given series = 6

The mode formula is one of the central tendency metrics used to assess the significance of a collection of data. It frequently offers details on both the things that are present in the data set and the ones that occur there frequently.

The value that appears in the data set the most frequently is the mode, to put it simply.

Modal value is another name for mode. There might be one mode or several modes for a certain collection of data.

In statistics, mode is crucial for determining the value that happens the most frequently. 

The value that appears most frequently in a set of data is its mode.

The mode is determined using the following formula:

Mode = The value that appears most frequently in the data set

In statistics, the value with a greater frequency within a group of data is referred to as the mode. The value known as the mode or modal value is the one that appears the most frequently.

  • In statistics, a data set is represented by a representative value known as the measure of central tendency, which generally characterises the entire data collection.
  • The value that the data is centred around is known as the central tendency, and using this value, we are able to summarise the organised data statistically.
  • The mode of data is one such central tendency indicator. 
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Concepts Used:

Frequency Distribution

A frequency distribution is a graphical or tabular representation, that exhibits the number of observations within a given interval. The interval size entirely depends on the data being analyzed and the goals of the analyst. The intervals must be collectively exclusive and exhaustive.

Visual Representation of a Frequency Distribution:

Both bar charts and histograms provide a visual display using columns, with the y-axis representing the frequency count, and the x-axis representing the variables to be measured. In the height of children, for instance, the y-axis is the number of children, and the x-axis is the height. The columns represent the number of children noticed with heights measured in each interval.

Types of Frequency Distribution:

The types of the frequency distribution are as follows:

  1. Grouped frequency distribution
  2. Ungrouped frequency distribution
  3. Cumulative frequency distribution
  4. Relative frequency distribution
  5. Relative cumulative frequency distribution