20 classes

This standing wave is called the fundamental frequency, with L = λ 2 L= /dfrac{/lambda}{2} L=2λ​L, equals, start fraction, lambda, divided by, 2, end fraction, and there are two nodes and one antinode.

A normal frequency distribution is a theoretical continuous, symmetrical, bell-shaped distribution function. Its mean, mode and median are all the same; and both the tails of the bell curve are infinitely long. Simple normal distributions are frequently used for modelling uncertainty.

The frequency table records the number of observations falling in each interval. Frequency tables are useful for analyzing categorical data and for screening data for data entry errors. Note that we will refer to two types of categorical variables: Categorical and Grouping or Break.

Large data sets can be divided into interval classes for easy visualization using a frequency table. For example, if you asked the next 100 people you see what their age was, you would likely get a wide range of answers spanning anywhere from three to ninety-three.

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur. We represent the frequency by the English alphabet ‘f’.

The frequency of a particular data value is the number of times the data value occurs. For example, if four students have a score of 80 in mathematics, and then the score of 80 is said to have a frequency of 4. The frequency of a data value is often represented by f.

Frequency Tables with Class Intervals

1. Determine the data range of the data set.
2. Decide the width of the class intervals.
3. Divide the range by the chosen width of the class interval to determine the number of intervals.

A frequency table organizes the data in three columns by displaying the intervals, a tally of the number of values within the interval, and a numerical value of the tally. A tally is a mark made to keep count of the number of values within the interval. You cannot have part of an interval so the number is rounded to 6.

Steps used to construct Frequency distribution continuous

1. Find the maximum and minimum value from the given data.
2. Decide the number of classes to be formed.
3. Find the difference between the maximum and minimum value and divide this difference by the number of classes to be formed to determine the class interval.

Mode for grouped data is given as Mode=l+(f1−f02f1−f0−f2)×h , where l is the lower limit of modal class, h is the size of class interval, f1 is the frequency of the modal class, f0 is the frequency of the class preceding the modal class, and f2 is the frequency of the class succeeding the modal class.

Summary

1. For grouped data, we cannot find the exact Mean, Median and Mode, we can only give estimates.
2. To estimate the Mean use the midpoints of the class intervals: Estimated Mean = Sum of (Midpoint × Frequency)Sum of Frequency.
3. To estimate the Median use: Estimated Median = L + (n/2) − BG × w.
4. To estimate the Mode use:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

The general answer is yes. So depending upon the numbers you have, the median might come out to be a decimal. But with a different set of numbers, it would be a whole number.