Answered

Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply

mean
standard deviation
mode
median
range

Answer :

MHANIFAGO

Answer:

  • Standard deviation
  • Range

Step-by-step explanation:

Two identical sets of data are:

  • Data Set 1: 58, 59, 62, 64, 67, 67
  • Data Set 2: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.

Mean

  • No, it could be greater or smaller

Standard deviation

  • Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.

Mode

  • No, it could be greater or smaller

Median

  • No, it could be greater or smaller

Range

  • Yes, it will increase as either lower or the higher value will be added to the data set.

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