Question

PLZ HELP! :(
Examine the following data set.
{55,56,54,58,53,52,57}
Which statement best describes the data?
A.) The IQR is 4 and there are no outliers.
B.) The IQR is 6 and there is one outlier.
C.) The IQR is 6 and there are no outliers.
D.) The IQR is 4 and there is one outlier.

Answer 1

option c

hope it helps you ✌️✅✅✅

Answer 2

Given : 55,56,54,58,53,52,57

To Find : Which statement best describes the data?

A.) The IQR is 4 and there are no outliers.

B.) The IQR is 6 and there is one outlier.

C.) The IQR is 6 and there are no outliers.

D.) The IQR is 4 and there is one outlier.

Solution:

55,56,54,58,53,52,57

arrange in order

52   53   54   55   56   57   58

Q₂  = 55

Q₁ = 53

Q₃ = 57

IQR = Inter Quartile Range

IQR = Q₃  - Q₁  = 57  - 53  = 4

Range = 58 - 52 = 6

Difference in all consecutive values is 1

Hence there is no outlier

Hence  The IQR is 4 and there are no outliers  Best describes the Data

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