In a 100-meter dash, the first 5 racers finished with the following times: 11.6 seconds, 12.8 seconds, 10.8 seconds, 11.8 seconds, and 14 seconds. which measure of central tendency for this set of data is 11.8 seconds?

Median of this data has value 11.8 seconds.

Step-by-step explanation:

Given:

Timing of 5 racers ( in seconds ),

11.6 , 12.8 , 10.8 , 11.8 , 14

To find: Central tendency whose value is 11.8 seconds

We know that there are 3 central tendency: Mean , Median , Mode

Data in Ascending order:

10.8 , 11.6 , 11.8 , 12.8 , 14

First,

Mean Time =

Mean time = 12.2 seconds

Secondly, Median

Number of observation , n = 5 is odd

So, Median =

Median =

Median = 11.8 seconds

Last, Mode

No number is accruing more than once. So, there is no mode of this data.

Therefore, Median of this data has value 11.8 seconds.

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