Find the mean, median and mode of the following data.
35, 32, 35, 42, 35, 32, 34, 30
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Given:
35, 32, 35, 42, 35, 32, 34, 30
To find:
mean, median and mode of the following data.
Solution:
35, 32, 35, 42, 35, 32, 34, 30
Sort the given data in ascending order - 30, 32, 32, 34, 35, 35, 35, 42
Finding mean:
Mean = sum of observations/total observations
30+32+32+34+35+35+35+42 = 275
Mean = 275/8 = 34.375
Finding Median:
30, 32, 32, 34, 35, 35, 35, 42
Middle number of the sorted data is the median but these are even so taking two middle numbers.
=> (34+35)/2
=> 69/2
=> 34.5
Finding Mode:
30, 32, 32, 34, 35, 35, 35, 42
The number that occurs most number of times is the mode. 35 occurs three times. so, the mode is 35.
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