SEM ALG 1_ Outliers in Data Sets

The test grades for 15 students are shown.

96, 94, 88, 92, 90, 85, 54, 78, 88, 98, 98, 97, 80, 75

If the score of 54 was removed from the set, then what will make the statement below true.

The mean will ​ (a)  

• Increase
• Decrease
• Stay the Same

The test grades for 15 students are shown.

96, 94, 88, 92, 90, 85, 54, 78, 88, 98, 98, 97, 80, 75

If the score of 54 was removed from the set, then what will make the statement below true.

The range will ​ (a)  

• Decrease
• Stay the Same
• Increase

The test grades for 15 students are shown.

96, 94, 88, 92, 90, 85, 54, 78, 88, 98, 98, 97, 80, 75

If the score of 54 was removed from the set, then what will make the statement below true.

The Median will ​ ​ (a)  

• Stay the Same
• Increase

If an outlier is included in a data set the ________________ is the least affected.

• Mean

• Median

• Range

• Standard Deviation

The data below represents the ages of college students who sign up for an online course.

19, 18, 22, 17, 26, 20, 21, 23, 25, 17, 18, 29, 27, 25, 19

If an additional student with an age of 37 signs up, how will this affect the shape of the data set?

• The additional student will skew the data to the right.

• The additional student will skew the data to the left.

• The additional student will have no effect on the shape of the data.

• The additional student will cause the data to be more symmetrical

A data set consists of these values

1, 3, 3, 6, 8, 9

If the value 5 is added to the data set, which statistic changes?

• mode

• median

• mean

• range

In which histogram would the mean be less than the median?

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Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Nine runners were each timed an a race course. Their finish times, in seconds, were 23, 31, 28, 32, 34, 26, 36, 25, and 29. Two more runners will now run the course. What should be their finish times, so that the mean finish time increases but the median remains the same?

• 24 seconds and 27 seconds

• 27 seconds and 33 seconds

• 30 seconds and 33 seconds

• 33 seconds and 36 seconds

Based on the data recorded below, which data point would considered an outlier.

72, 75,70, 59, 74, 72, 76

• 59

• 72

• 76

• 75

The number of runs scored by the Mustangs for six games is show below.

5, 8, 2, 5, 2, 6

If the mustangs scored 13 runs in their seventh game, which of the following statements is true?

• The mean and the median both increase

• The median and the mean both remain the same

• The median increases and the mean remains the same.

• The mean increases and the median remains the same.