Frequency is the digit of occurrence of a repeat the event per unit time it is also called temporal frequency. The time period of one cycle in a repeat the event, so the period is the the same of the frequency.
Frequency of waves
Frequency is inverse of the concept of wavelength, simply, frequency is inversely proportional to wavelength λ . The frequency f is the same to the phase velocity v of the wave divided by the wavelength λ of the wave:
f=v/λ, then v=c f=c/λ
Other Types of Frequency Table Examples:
The Angular frequency ω is define the rate of alteration in the orientation slant, or in the phase of a sinusoidal waveform
Angular frequency is considered in radians per second (rad/s).
The frequency is analogous to sequential frequency, but the time axis is replace the one or more spatial displacement axis.
Examples on Frequency Table
Consider the frequency distribution shown in scores of 35 students in a mathematics test.
The mean of these scores = total scores /number of boys
One way would be to add the scores of all the 35 boys as separate addends and then divide the sum by 35.It will be quite cumbersome.we can make the task easier by multiplying each score by its frequence and then dividing by the total number of boys.
frequency table:
Scores(s) frequency(f)
6 0 1
65 2
70 6
75 8
80 7
85 5
90 3
95 2
100 1
35
Then, x = 60*1+65*2+70*6+75*8+80*7+85*5+90*3+95*2+100*1/35
= 60+130+420+600+560+425+270+190+100/35
= 2755 / 35
= 551 / 7
= 78.71 marks
It is more conveninent to find the products of the scores and the frequencies by adding an extra column to the frequency table and the work as under:
Scores(x) frequence(f) (f.x)
6 0 1 60
65 2 130
70 6 420
75 8 600
80 7 560
85 5 425
90 3 270
95 2 190
100 1 100
Sum 35 2755
Mean=sum of the fx column/ sum of the f column
= 2755/35
= 551 / 7
= 78.71 marks
Frequency of waves
Frequency is inverse of the concept of wavelength, simply, frequency is inversely proportional to wavelength λ . The frequency f is the same to the phase velocity v of the wave divided by the wavelength λ of the wave:
f=v/λ, then v=c f=c/λ
Other Types of Frequency Table Examples:
The Angular frequency ω is define the rate of alteration in the orientation slant, or in the phase of a sinusoidal waveform
Angular frequency is considered in radians per second (rad/s).
The frequency is analogous to sequential frequency, but the time axis is replace the one or more spatial displacement axis.
Examples on Frequency Table
Consider the frequency distribution shown in scores of 35 students in a mathematics test.
The mean of these scores = total scores /number of boys
One way would be to add the scores of all the 35 boys as separate addends and then divide the sum by 35.It will be quite cumbersome.we can make the task easier by multiplying each score by its frequence and then dividing by the total number of boys.
frequency table:
Scores(s) frequency(f)
6 0 1
65 2
70 6
75 8
80 7
85 5
90 3
95 2
100 1
35
Then, x = 60*1+65*2+70*6+75*8+80*7+85*5+90*3+95*2+100*1/35
= 60+130+420+600+560+425+270+190+100/35
= 2755 / 35
= 551 / 7
= 78.71 marks
It is more conveninent to find the products of the scores and the frequencies by adding an extra column to the frequency table and the work as under:
Scores(x) frequence(f) (f.x)
6 0 1 60
65 2 130
70 6 420
75 8 600
80 7 560
85 5 425
90 3 270
95 2 190
100 1 100
Sum 35 2755
Mean=sum of the fx column/ sum of the f column
= 2755/35
= 551 / 7
= 78.71 marks
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