Question

Demand for consumer goods is necessarily variable. Forecasting the demand for consumer goods is an important business activity, as all businesses have to plan ahead. Manufacturer of consumer goods has been studying the demand for one of their products and the level of demand is given in the following stem and leaf plot, where stem unit is 100 and leaf unit is 10. Stem Leaf 1 1, 2, 3, 4.5, 5, 6, 7, 7, 9, 9.5 2 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 7, 9 3 0, 0, 0, 2, 8 4 5 0 6 7 8 0 9 10 11 12 0 The outer fences are ___________.

Answer 1

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.