# 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

## Question

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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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## Detailed Solution

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**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 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 km**

**Hence, The median for a moderately asymmetrical series having mode and mean as 125 km and 130.7 km respectively is 128.8 km.**

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## More Measures of Central Tendency Questions

**Q1.**Calculate the average deviation for the given data - x1 = 49.7, x2 = 50.1, x3 = 50.2, x4 = 49.6, x5 = 49.7

**Q2.**What is the mode of the following numbers: 10, 21, 10, 12, 21, 10, 21, 21, 21, 12, 13, 21, 12?

**Q3.**If mean of the observations 25, 29, 25, 32, 24 and x is 27, then median of the observations is

**Q4.**If the frequency of each class is doubled, then what would be the mean?

**Q5.**What is the value of q ?

**Q6.**What is the value of p ?

**Q7.**What is the sum of the deviations measured from the median?

**Q8.**What is the median of the marks?

**Q9.**What is the mean of the marks ?

**Q10.**The frequency curve (assuming unimodal) corresponding to the data obtained in an experiment is skewed to the left. What conclusion can be drawn from the curve ?

## More Statistics Questions

**Q1.**Classification of data may be

**Q2.**Calculate the average deviation for the given data - x1 = 49.7, x2 = 50.1, x3 = 50.2, x4 = 49.6, x5 = 49.7

**Q3.**What is the mode of the following numbers: 10, 21, 10, 12, 21, 10, 21, 21, 21, 12, 13, 21, 12?

**Q4.**If mean of the observations 25, 29, 25, 32, 24 and x is 27, then median of the observations is

**Q5.**If the frequency of each class is doubled, then what would be the mean?

**Q6.**What is the value of q ?

**Q7.**What is the value of p ?

**Q8.**What is the sum of the deviations measured from the median?

**Q9.**What is the median of the marks?

**Q10.**What is the mean of the marks ?

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