Best Measure of Center and Spread

Last year, students at NGMS gathered data on how many pages are in fiction books in their library. Which statement is true about the distribution?

• The distribution is perfectly symmetrical

• Most of the books have over 400 pages

• There is a large cluster of books that have between 150-400 pages.

• There is a cluster of data between 400 and 1000 pages

What measure of central tendency (mean, median or mode) would be best for the following set of data?

0, 89, 92, 97, 99, 100

• Mode, because it is the one that shows up the most.

• Median, because there is an outlier.

• Mean, because there is not an outlier.

• There is not a best measure of central tendency for this data.

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

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

• Mode
• Median
• Mean
• IQR

• 13.6
• 2.2
• 15.8
• 68.2

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 Interquartile Range.

• IQR = 6

• IQR = 10

• IQR = 7.5

• IQR = 12

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-2: Find the standard deviation of 21, 31, 26, 24, 28, 26.

• S.D. ≈ 9.67

• S.D. ≈ 26

• S.D. ≈ 3.1

• S.D. ≈ 10