Suppose, we have 5 observations such that 32, 49, 23, 29, 118.Calculate 10th, 50th and 100th percentiles?23, 32, 11823, 31, 11823, 33, 11824, 33, 118

To calculate the 10th, 50th, and 100th percentiles of the given observations, we first need to arrange the data in ascending order.

The given observations are: 32, 49, 23, 29, 118

Arranging them in ascending order gives us: 23, 29, 32, 49, 118

Now, let's calculate the percentiles:

1. 10th percentile: This is the value below which 10% of the data falls. Since we have 5 observations, the 10th percentile would fall below the first value. So, the 10th percentile is 23.

2. 50th percentile: This is also known as the median, and it is the value below which 50% of the data falls. Since we have 5 observations, the 50th percentile is the middle value. So, the 50th percentile is 32.

3. 100th percentile: This is the maximum value in the data set. So, the 100th percentile is 118.

So, the 10th, 50th, and 100th percentiles of the given observations are 23, 32, and 118 respectively.