Answer:
7.5 to 467.5.
Explanation:
Please note that In order to be fast, I make use of excel during the Calculation.
So, the first thing to do is to make sure that the observation is arranged in an increasing order.
Step one: Calculate the value for J1 and J3.
Know that J1 = J3. Where J3 = 3rd quartile.
Hence, J1 = 1st QUARTILE = QUARTILE. EXC (data, 1) = 18.
Also, J3 = QUARTILE. EXC(data, 3). = 29.5.
Therefore, the difference between the first quartile and the third QUARTILE = 29.5 - 18 = 11.5.
Step two: calculate the value for the higher fence and the lower fence respectively.
Thus, for the higher fence we have;
J3 + 1.5( 11.5).
= 29.5 + 1.5(11.5).
= 46.75.= (46.75 × 10) = 467.5).
Then, for the lower fence;
J1 - 1.5( 11.5).
= 18 - 1.5(11.5).
= 0.75 = (.75 × 10) = 7.5.