Measures of Spread and Center

• 13.6
• 2.2
• 15.8
• 68.2

• Kim's scores are more consistent.
• Caleb's scores are more consistent.
• Both scores have the same consistency!
• Not enough information is provided.

The number of text messages that Isaac received each day for a week is shown: 47, 49, 54, 50, 48, 47, 55
What is the mean and median

• Mean=49
  Median=54

• Mean=49 
  Median=50

• Mean=50 
  Median=54

• Mean=50
  Median=49

The numbers of runs scored by a softball team in 20 games are given.
 3, 4, 8, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 8, 2, 10, 3, 10, 9, 7
What is the median of this data.

• Median = 7.5

• Median = 7

• Median = 8

• Median = 12

Which summary statistic should be used to compare the two data sets and why?

• The median and the interquartile range because they are normally distributed.

• The median and the interquartile range because they are skewed.

• The mean and the standard deviation because they are normally distributed.

• The mean and the standard deviation because they are skewed.

The numbers of runs scored by a softball team in 20 games are given.
 3, 4, 8, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 8, 2, 10, 3, 10, 9, 7
What is the Interquartile Range.

• IQR = 6

• IQR = 10

• IQR = 7.5

• IQR = 12

The first quartile (Q 1) is the median of the lower half of the set.
The second quartile (Q 2) is the median of the whole set .
The third quartile (Q 3) is the median of the upper half of the set.

• All three statements are true.

• Only the 1st statement is true.

• Only the 2nd and the 3rd statements are true.

• Only the 3rd statement is true.

The interquartile range (IQR) of a data set is the difference between the third and first quartiles. It represents the range of the middle half of the data.

• True

• False

Standard Deviation is a measure of spread, which represents the average of the distance between individual data values and the mean.

• True

• False

Given the data: 21, 31, 26, 24, 28, 26
This is a 3 part question:
Part-1: What is the mean of the data?

• 24

• 25

• 26

• 27