Mode

Introduction

The three main measures of central tendency are mean, median and mode. Mode can be defined as the value that occurs most often in a series. Mode is that value of observation around which items are most densely concentrated. Mode can be calculated for individual series, discrete series and continuous series.

In case of individual series mode can be calculated by inspection method or by frequency distribution method. In case of discrete series Mode can be calculated in two ways: by Inspection Method and by Grouping Method. In case of continuous series first we ascertain the modal class and after that the exact value of mode is determined by using the formula. Value of mode can also be determined graphically with the help of Histogram.

While calculating mode we have to keep in mind some important observations relating to special types of problems like class intervals should be made equal in case of unequal class intervals and corresponding frequencies should also be adjusted accordingly.

According to Karl Pearson, asymmetrical distribution has an empirical relationship between mean, median and mode and one can estimate the value of mode as Mode = 3 Median – 2 Mean.

The merits of mode are: it is simple, it is unaffected by extreme values, for calculation we do not need complete data, etc. Demerits of mode are: it is uncertain, it is indeterminate, etc. To choose an average we should consider few points like the purpose of the study, capability for further statistical computations, etc.

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  • Q1

    To locate mode value graphically we need to draw a

    Marks:1
    Answer:

    histogram.

    Explanation:
    Drawing of histogram is essential to identify the modal class in the distribution or series of the variables.
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  • Q2

    The most common value found in the series is called

    Marks:1
    Answer:

    mode.

    Explanation:
    Mode is said to be the value of the variable which occurs most frequently in a series. It is the most common value found in the series.
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  • Q3

    Average can be computed by observation method in case of

    Marks:1
    Answer:

    Mode.

    Explanation:
    In case of Mode, sometimes we can compute average by observation method. It is easy to calculate and can be easily understood. Mode is the value of the variable which occurs most frequently in the distribution.
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  • Q4

    By observation method we can find out

    Marks:1
    Answer:

    mode.

    Explanation:
    Mode is that value which occurs greatest number of times and has greatest frequency. It is easy to calculate and can be easily understood.
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  • Q5

    Further algebraic treatment is not possible in case of

    Marks:1
    Answer:

    mode.

    Explanation:

    Mode is the most common value found in the series. It is not at all helpful in further algebraic analysis.

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