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Answer :
To find the statistical measures for the data set 126, 128, 107, 113, 120, 126, calculate the mean as 120, the median as 123, the mode as 126, and the range as 21.
Calculating Mean, Mode, Median, and Range
For the data set: 126, 128, 107, 113, 120, 126
- Mean: The mean is the average of the data points.
Sum of data points: 126 + 128 + 107 + 113 + 120 + 126 = 720
Mean = Sum of data points / Number of data points = 720 / 6 = 120
- Median: The median is the middle value when the data points are ordered from smallest to largest.
Ordered data set: 107, 113, 120, 126, 126, 128
Since there is an even number of data points, the median is the average of the two middle values:
Median = (120 + 126) / 2 = 123
- Mode: The mode is the value that appears most frequently.
The mode of the data set is 126 because it appears twice, more than any other number.
- Range: The range is the difference between the highest and lowest values.
Range = Highest value - Lowest value = 128 - 107 = 21
In summary, the mean is 120, the median is 123, the mode is 126, and the range is 21.
Complete question is
Find mean,mode,median and range of given data 126, 128, 107, 113, 120, 126
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The mean is 120
The mode is 126
The median is 123
The range is 21
How to calculate the mean, mode, median and range?
Mean= 126 + 128 + 107 + 113 + 120 + 126/6
= 720/6
= 120
Mode= 126
Median= 120 + 126/2
= 246/2
= 123
Range= Highest-lowest
= 128-107
= 21
Hence the mean is 120, the mode is 126, the median is 123 and the range is 21
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