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The Median of a few number of observations is given 50. The six items whose values are 40 42 45 51 56 62 were added to given series, what will be the new Median?
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The Median of a few number of observations is given 50. The six items ...
Calculating the New Median

To calculate the new median after adding six new observations to the given series, we need to follow these steps:

Step 1: Arrange the observations in ascending order:

40 42 45 50 51 56 62

Step 2: Count the total number of observations:

n = 7

Step 3: Determine the position of the median:

Median position = (n + 1) / 2
= (7 + 1) / 2
= 4

Step 4: Find the value of the new median:

The new median is the value at the 4th position in the ordered observations:

New Median = 50

Therefore, the new median after adding six new observations to the given series is 50.

Explanation:

The median is the middle value in a set of ordered observations. When new observations are added to the given series, the median may change depending on the values of the new observations.

In this case, the given series has five observations with a median of 50. After adding six new observations, we need to find the new median of the entire series.

To do this, we first arrange all the observations in ascending order. Then, we count the total number of observations and determine the position of the median. Finally, we find the value of the new median by identifying the observation at the median position.

In this example, the position of the median is the 4th position, and the value at that position is 50. Therefore, the new median after adding six new observations is 50.
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The Median of a few number of observations is given 50. The six items whose values are 40 42 45 51 56 62 were added to given series, what will be the new Median?
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