Question

Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}
A.42 and 57 are both outliers because
B.42 is less than the lower fence and 57 is greater than the upper fence.
C.42 is an outlier because it is less than the lower fence.
This data set has no outliers.
D57 is an outlier because it is greater than the upper fence.

Answer 1

Answer: D) 57

Step-by-step explanation:

Answer 2

Answer:

Option D.

Step-by-step explanation:

The given data set is

43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48

Arrange the data in ascending order.

42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57

Divide the data in 4 equal parts.

(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)

$Q_1=44, Median=46, Q_3=48$

The interquartile rage is

$IQR=Q_3-Q_1$

$IQR=48-44=4$

Lower fence:

$Q_1-1.5(IQR)=44-1.5(4)=38$

Upper fence:

$Q_3+1.5(IQR)=48+1.5(4)=54$

If the data lie outside the lower and upper fence, then that element is known as outliers.

$57\notin[38,54]$

57 is an outlier because it is greater than the upper fence.

Therefore, the correct option is D.