Question:

The mean and the median of the following ten numbers in increasing order $10, 22, 26, 29, 34, x 42, 67, 70,\, y$ are $42$ and $35$ respectively, then $\frac{y}{x}$ is equal to :

Updated On: Aug 21, 2024
  • 44745
  • 44808
  • 44744
  • 44776
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The Correct Option is A

Solution and Explanation

$\frac{34+x}{2} =35 $ $ x=36 $ $ 42 = \frac{10+22+26+29+34+36+42+67+70+y}{10} $ $ 420-336 =y \Rightarrow y = 84 $ $\frac{y}{x} = \frac{84}{36} = \frac{7}{3} $
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Concepts Used:

Mean Deviation

A statistical measure that is used to calculate the average deviation from the mean value of the given data set is called the mean deviation.

The Formula for Mean Deviation:

The mean deviation for the given data set is calculated as:

Mean Deviation = [Σ |X – µ|]/N

Where, 

  • Σ represents the addition of values
  • X represents each value in the data set
  • µ represents the mean of the data set
  • N represents the number of data values

Grouping of data is very much possible in two ways:

  1. Discrete Frequency Distribution
  2. Continuous Frequency Distribution