Chapter 1.3, Problem 2.2CYU

To determine

To Find: IQR with the value.

Answer to Problem 2.2CYU

Thus, $IQR=15$

Explanation of Solution

Given information:

  $338,318,353,313,318,326,307,317,311,311$

No. of observations: $10$

After arranging the given set of data in ascending order:

  $307,311,311,313,317,318,318,326,338,353$

Now, splits the list of two halves:

  $307,311,311,313,317$ and $318,318,326,338,353$

And since there are $5$ numbers in each halves, it is easy to find out the sub medians that is first and third quartiles.

So $Q_1=311$ and the minimum: $Q_2:326$

IQR is calculated as:

  $Q_3-Q_1=IQR$

After putting all the values,

  $326-311=15$

Thus, $IQR=15$