Question

Minimum: 9 days Q1: 18 days Median: 21 days Q3: 28 days Maximum: 56 days If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?

Answer 1

To find the right boundary, we have to add 1.5 times the IQR to Q3.

... Q3 + 1.5(Q3 -Q1) = 28 + 1.5(28 -18) = 28 +15 = 43

The right boundary is 43.

Answer 2

Answer: Upper limit for boundary will be 43. (right side)

Lower limit or boundary will be 3. (left side)

Explanation:

Given Five number summary:

Minimum: 9 days

`Q_1`: 18 days

Median: 21 days

`Q_3`: 28 days

Maximum: 56

Then IQR=
`Q_3-Q_1=28-18=10`

According to the 1.5 * IQR rule , the upper and lower limit for the boundary without outlier is given by :-

Upper limit=
`Q_3+1.5 IQR`

Lower limit=
`Q_1-1.5 IQR`

For the given situation,

Upper limit=
`28+1.5(10)=43`

Lower limit=
`18-1.5(10)=3`