in a moderately asymmetrical series, the values of arithmetic mean and mode are at 20.6 and 34.1 respectively. the value of the median is
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In a moderately asymmetric series, mean and median are 26.8 and 27.9 respectively. Estimate the value of Mode.
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In a moderately asymmetric series, mean and median are 26.8 and 27.9 respectively. Estimate the value of Mode.
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Updated on : 2022-09-05
Mode= 3median - 2meanSolution Verified by Toppr
Mode= 3*27.9 - 2*26.8
Mode= 83.7-53.6 Mode= 30.1
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In a moderately asymmetrical series, the values of arithmetic mean and mode are at 20.6 and 34.1 respectively. The value of the median is
In a moderately asymmetrical series, the values of arithmetic mean and mode are at 20.6 and 34.1 respectively. The value of the median is
In a moderately asymmetrical series, the values of arithmetic mean and mode are at
20.6and34.1 20.6and34.1
respectively. The value of the median is
Updated On: 27-06-2022
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[Solved] The median for a moderately asymmetrical series having mode
Given: Mean = 130.7 km and Mode = 125 km Key Points Mean is the average of the data set which is calculated by adding all the data values together an
Home Mathematics Statistics Measures of Central Tendency Median
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The median for a moderately asymmetrical series having mode and mean as 125 km and 130.7 km respectively is:
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129.7 m 128.8 km 124.8 m 127.8 km
Answer (Detailed Solution Below)
Option 2 : 128.8 km
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Given:Mean = 130.7 km and Mode = 125 km
Key PointsMean is the average of the data set which is calculated by adding all the data values together and dividing it by the total number of data sets.Median is the middle value among the observed set of values and is calculated by arranging the values in ascending order or in descending order and then choosing the middle value.Mode is the number from a data set that has the highest frequency and is calculated by counting the number of times each data value occurs.Concept:The empirical mean median mode relation is given as:
Mode = 3.Median - 2.Mean ----(1)Calculation:We have
Median = (Mode + 2.Mean)/3 [using (1)]
⇒ Median = (125 + 2 × 130.7)/3
⇒ Median = 128.8 kmHence, The median for a moderately asymmetrical series having mode and mean as 125 km and 130.7 km respectively is 128.8 km.Download Solution PDF
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