range

It is defined as it contains all data and it is also length of the smallest intervals. It is based on two observations that are poor and weak and it is calculated by subtracting the lowest to the highest sample which includes statistical dispersion. Range, is the simplest method of measuring the variability and it is used only for highest score minus the lowest score. Range is equal to or greater than standard deviation which comes under cbse syllabus for class 10.
In range the difference between highest and lowest scores is known as crude range. The smallest and greatest observation is called observed range. For example range can be present in entire row or column and multiple row, column.
Range Of Probability (introduction to probability worksheet), is defined as an event is impossible when its probability is zero and when event is there its probability is one. The value of probability is Pr (impossible event) = 0
The probability of event A is denoted by P(A) and it is range from 0 to 1.
The range of distribution and value of function is equal to zero and it is a random variable which is used to differentiate between maximum value and minimum value which is equal to zero.
The three kinds of averages are mean, median and mode. The median is the middle value in the numbers. For example find the mean, median mode and range of the following values:
3,5,8,6
Answer: (3+ 5+8+6)/ 4 = 22/4 = 5.5
The mean is 3.5
median is 8+6= 14/2= 7
mode= none
range = 5
The largest value is 8, the smallest is 3 and their difference is 5.
so, the range is 5.
The output value of a function is called range of a function.
Domain ->function->Range.
In the next session we will discuss about Predictions from data and You can visit our website for getting information about physics tutor .

mode

Hello students, Previously we have discussed about what is cartesian product and In today's session we are going to discuss about mode which comes under cbse books, Mathematics covers many topics, statistics is one of them. In mathematics statistics plays a very important role to summarize the data by the various types. Mean, median and mode are the three measures of central tendency. But here we have to discuss the mode.

Mode in an ungrouped data, the most occurring term gives the data and if some terms have frequencies more than 1, then the term having the largest frequency is the mode.

 In a grouped data we have

Mode = L1+ (f-f1) / (2f – f1 - f2) * (L2 - L1), where L is the lower limit of model class, f is the frequency of model class and f1 and f2 are the respective frequencies of the preceding and succeeding classes of the model class.

Let’s take some example of mode:

Example 1: What is the mode of 5, 7, 9, 12, 10, 15, 7, 8, 7, 25?

Solution: Since 7 occurs most often, so mode = 7

Example 2: Find the mode of the following frequency distribution

Term               25        35        45        55        65

Frequency      4          9          16        13        6

Solution: Since 45 occurs most often, so mode = 45

Example 3: Find the mode from the data given below

Marks obtained          0-5      5-10   10-15             15-20             20-25             25-30

            Number of students  18        20          25                    30                    16                    14

Solution: The maximum frequency is 30. So mode class is 15-20

 L1 =15 L2 =20, f = 30, f1 = 25 and f2 = 16.

Mode = L1+ (f-f1) / (2f – f1 - f2) * (L2 - L1) = = 15+ (30 - 25) / (60 – 25 - 16) * (20 - 15) = 16.3

So exact values is 16.3

In the next session we will discuss about range and You can visit our website for getting information about calculus tutor.