Find the mean deviation from the mean for the following data :
xi | 5 | 10 | 15 | 20 | 25 |
fi | 7 | 4 | 6 | 3 | 5 |
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Find the mean deviation from the mean for the following data :
xi | 5 | 10 | 15 | 20 | 25 |
fi | 7 | 4 | 6 | 3 | 5 |
Find the mean deviation from the mean for the following data :
xi | 5 | 10 | 15 | 20 | 25 |
fi | 7 | 4 | 6 | 3 | 5 |
Find the mean deviation from the mean for the following data :
Classes | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 | 700-800 |
Frequencies | 4 | 8 | 9 | 10 | 7 | 5 | 4 | 3 |
Find the mean deviation from the mean for the following data :
Classes | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 | 700-800 |
Frequencies | 4 | 8 | 9 | 10 | 7 | 5 | 4 | 3 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation.
Here we have to calculate the mean deviation from the mean. So,
Mean = \(\Sigma \frac{f_ix_i}{n}\)
Here, Mean = \(\frac{17900}{50}\)
Therefore, Mean = 358
Class Interval | Xi | Fi | FiXi | di=(xi-Mean) | Fidi |
0-100 | 50 | 4 | 200 | 308 | 1232 |
100-200 | 150 | 8 | 1200 | 208 | 1664 |
200-300 | 250 | 9 | 2250 | 108 | 972 |
300-400 | 350 | 10 | 3500 | 8 | 80 |
400-500 | 450 | 7 | 3150 | 92 | 644 |
500-600 | 550 | 5 | 2750 | 192 | 960 |
600-700 | 650 | 4 | 2600 | 292 | 1168 |
700-800 | 750 | 3 | 2250 | 392 | 1176 |
Total = 50 | Total = 17900 | Total = 7896 |
Mean Deviation = \(\frac{\Sigma f|di|}{N}\)
Mean deviation for given data \(\frac{7896}{50}\) = 157.92
Hence, The Mean Deviation is 157.92
Find the mean deviation from the mean for the following data
xi | 5 | 7 | 9 | 10 | 12 | 15 |
fi | 8 | 6 | 2 | 2 | 2 | 6 |
Find the mean deviation from the mean for the following data
xi | 5 | 7 | 9 | 10 | 12 | 15 |
fi | 8 | 6 | 2 | 2 | 2 | 6 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from the mean.
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation.
Here we have to calculate the mean deviation from Mean
So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)
xi | fi | Cumulative Frequency(xifi) | |di| = |xi-Mean| | Fi|di| |
5 | 8 | 40 | 4 | 32 |
7 | 6 | 42 | 2 | 12 |
9 | 2 | 18 | 0 | 0 |
10 | 2 | 20 | 1 | 2 |
12 | 2 | 24 | 3 | 6 |
15 | 6 | 90 | 6 | 36 |
Total = 26 | Total = 234 | Total = 88 |
Mean = \(\frac{234}{26}\) = 9
Mean Deviation = \(\frac{\Sigma f|di|}{N}\)
Mean deviation for given data = \( \frac{88}{26}\) = 3.3
Hence, The mean Deviation is 3.3.
Find the mean deviation from the mean for the following data :
Size: | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 |
Frequency: | 3 | 3 | 4 | 14 | 7 | 4 | 3 | 4 |
Find the mean deviation from the mean for the following data :
Size: | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 |
Frequency: | 3 | 3 | 4 | 14 | 7 | 4 | 3 | 4 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from the mean.
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation.
Here we have to calculate the mean deviation from Mean
So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)
Mean of the given data is \(\frac{433}{20}\) = 21.65
xi | fi | Cumulative Frequency(xifi) | |di| = |xi-Mean| | Fi|di| |
20 | 6 | 120 | 1.65 | 9.9 |
21 | 4 | 84 | 0.65 | 2.6 |
22 | 5 | 110 | 0.35 | 1.75 |
23 | 1 | 23 | 1.35 | 1.35 |
24 | 4 | 96 | 2.35 | 9.40 |
Total = 20 | Total = 433 | Total = 25 |
Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)
Mean deviation for given data is \(\frac{25}{20}\) =1.25
Hence, The mean Deviation is 1.25.
Find the mean deviation from the mean for the following data :
xi | 10 | 30 | 50 | 70 | 90 |
fi | 4 | 24 | 28 | 16 | 8 |
Find the mean deviation from the mean for the following data :
xi | 10 | 30 | 50 | 70 | 90 |
fi | 4 | 24 | 28 | 16 | 8 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from the mean.
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation. Here we have to calculate the mean deviation from Mean
So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)
xi | fi | Cumulative Frequency (xifi) | |di| = |xi-Mean| | Fi|di| |
5 | 7 | 35 | 9 | 63 |
10 | 4 | 40 | 4 | 16 |
15 | 6 | 90 | 1 | 6 |
20 | 3 | 60 | 6 | 18 |
25 | 5 | 125 | 11 | 55 |
Total = 25 | Total = 350 | Total = 158 |
Mean = \(\frac{350}{25}\) =14
Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)
Mean deviation for given data = \(\frac{158}{25}\) = 6.32
Hence, The mean Deviation is 6.32.
Find the mean deviation from the mean for the following data :
Size: | 20 | 21 | 22 | 23 | 24 |
Frequency: | 6 | 4 | 5 | 1 | 4 |
Find the mean deviation from the mean for the following data :
Size: | 20 | 21 | 22 | 23 | 24 |
Frequency: | 6 | 4 | 5 | 1 | 4 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from the mean.
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation.
Here we have to calculate the mean deviation from Mean
So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)
Mean of given Data = \(\frac{4000}{80}\) =50
xi | fi | Cumulative Frequency(xifi) | |di| = |xi=Mean| | Fi|di| |
10 | 4 | 40 | 40 | 160 |
30 | 24 | 720 | 20 | 480 |
50 | 28 | 1400 | 0 | 0 |
70 | 16 | 1120 | 20 | 320 |
90 | 8 | 720 | 40 | 320 |
Total = 80 | Total = 4000 | Total = 1280 |
Mean = \(\frac{4000}{80}\) = 50
Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Mean deviation for given data = \(\frac{1280}{80}\) = 16
Hence, The mean Deviation is 16
Find the mean deviation from the mean for the following data :
Classes | 95-105 | 105-115 | 115-125 | 125-135 | 135-145 | 145-155 |
Frequencies | 9 | 13 | 16 | 26 | 30 | 12 |
Find the mean deviation from the mean for the following data :
Classes | 95-105 | 105-115 | 115-125 | 125-135 | 135-145 | 145-155 |
Frequencies | 9 | 13 | 16 | 26 | 30 | 12 |
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\)
Explanation.
Here we have to calculate the mean deviation from the mean. So,
Mean = \(\Sigma \frac{f_ix_i}{n}\)
Here, Mean = \(\frac{13630}{106}\) = 128.6
Therefore, Mean = 49
Class Interval | Xi | Fi | FiXi | di=(x-mean) | Fi|di| |
95-105 | 100 | 9 | 900 | -28.6 | 257.4 |
105-115 | 110 | 13 | 1430 | -18.6 | 241.8 |
115-125 | 120 | 16 | 1920 | -8.6 | 137.6 |
125-135 | 130 | 26 | 3380 | 1.4 | 36.4 |
135-145 | 140 | 30 | 4200 | 12.4 | 372 |
145-155 | 150 | 12 | 1800 | 22.4 | 268.8 |
N=106 | Total = 13630 | Total = 1314 |
Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)
Mean deviation for given data = \(\frac{1314}{106}\) = 12.39
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from the mean.
Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)
Explanation.
Here we have to calculate the mean deviation from Mean
So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)
Mean = \(\frac{350}{25}\) =14
Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)
Mean deviation for given data = \(\frac{158}{25}\) = 6.32
Hence, The mean Deviation is 6.32.