Question

what is mode? give formula to findout mode in continuous series​

Answer 1

Answer:

When data is given based on ranges alongwith their frequencies. Following is an example of continous series:

Items 0-5 5-10 10-20 20-30 30-40

Frequency 2 5 1 3 12

Formula

Mo=L+f1−f02f1−f0−f2×iMo=L+f1−f02f1−f0−f2×i

Where −

MoMo = Mode

f1f1 = Frquencey of modal class

f0f0 = Frquencey of pre-modal class

f2f2 = Frquencey of class succeeding modal class

ii = Class interval.

In case there are two values of variable which have equal highest frequency, then the series is bi-modal and mode is said to be ill-defined. In such situations mode is calculated by the following formula:

Mode = 3 Median - 2 Mean

Arithmetic Mode can be used to describe qualitative phenomenon e.g. consumer preferences, brand preference etc. It is preferred as a measure of central tendency when the distribution is not normal because it is not affected by extreme values.

Example

Problem Statement:

Calculate the Arithmetic Mode from the following data:

Wages

(in Rs.) No. of workers

0-5 3

5-10 7

10-15 15

15-20 30

20-25 20

25-30 10

30-35 5

Solution:

Using following formula

Mo=L+f1−f02f1−f0−f2×iMo=L+f1−f02f1−f0−f2×i

LL = 15

f1f1 = 30

f0f0 = 15

f2f2 = 20

ii = 5

Substituting the values, we get

Mo=15+30−152×30−15−20×5=15+3=18Mo=15+30−152×30−15−20×5=15+3=18

Thus Arithmetic Mode is 18.

Answer 2

Answer:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.In case there are two values of variable which have equal highest frequency, then the series is bi-modal and mode is said to be ill-defined. In such situations mode is calculated by the following formula: Mode = 3 Median - 2 Mean.

Explanation:

noun

1.

a type of something or way of doing something

किसी वस्‍तु या कोई काम करने का प्रकार

a mode of transport/life a mode of transport/life

2.

one of the ways in which a machine can work

मशीन के काम करने की एक रीति

Switch the camera to automatic mode. Switch the camera to automatic mode.

hope it's helpful to you!