Box Plots and Standard Deviation

Quartiles

•  -scores of students are arranged in rank order from lowest to highest

•  -the scores are divided into 4 equally sized groups or bands

    (Or divide the percentiles into bands of 25 percentile ranks)

• -the lowest score is "in the 1st quartile"

• -the highest score is "in the 4th quartile"

Multiple Choice

What do point C represent on the box plot?

• Mean

• Median

• Lower Quartile

• Third Quartile

Multiple Choice

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Minimum and Maximum Value

• First and Third Quartiles

Multiple Choice

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Minimum and Maximum Value

• First and Third Quartiles

Multiple Choice

What percentage of scores were between 20 and 30?

• 25%

• 50%

• 0%

• 75%

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Multiple Choice

What value is the Upper quartile?

• 66

• 58

• 60

• 64

Multiple Choice

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 

• Yes, 16 is an outlier.
• Yes, 33 is an outlier.
• Yes, 98 is an outlier.
• There are no numbers less than 39 or greater than 124, therefore there are no outliers.

Multiple Choice

We have two numbers in the center, what do we do to find the median?

• Nothing, we have two medians

• Add them and divide by 2

• We choose the one we like the most

Multiple Choice

What is the minimum value?

• 66

• 58

• 60

• 64

Multiple Choice

What is the range of math quiz results from Ms. Myres's class?

• 75

• 20

• 95

• 60

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

It is the difference between the third quartile and the first

quartile.

• range

• 2nd quartile

• quantiles

• interquartile range

Fill in the Blanks

Percentile "ranks"

•  -scores of students are arranged in rank order from lowest to highest

  
  

   

•  -the scores are divided into 100 equally sized groups or bands

•  -the lowest score is "in the 1st percentile" (there is no 0 percentile rank)

•  -the highest score is "in the 99th percentile"

    (you can't score in the 100th percentile because you can't beat your own score)

Percentile "ranks"

• If you "scored in the 66th percentile", you scored "as well as or better than" 66% of the group.

• If your score was the same as "the mean" for that test, you scored in the 50th percentile.(The mean is the middle of a distribution, and the 50th percentile is the same...the middle of the group.)

• If 700 people took a test, how many people would be in each percentile band?

     (Divide 700 by 100 bands/ranks)

• If only one student is taking the diagnostic achievement test, how do we determine his/her percentile ranking? Who do we compare him/her against?  (The norm groups...kids who have taken the test previously... provided by the test)

​Percentile

Some text here about the topic of discussion

Multiple Choice

2. When a distribution is divided into hundred equal parts,

each score point that describes the distribution is called a _____.

• percentile

• decile

• quartile

• median

Multiple Choice

3. The lower quartile is equal to ______.

• 50th percentile

• 2nd decile

• 25th percentile

• 3rd quartile

Multiple Choice

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

Multiple Choice

Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 What is the percentile of a 5 pound puppy?

• 30th percentile

• 20th percentile

• 70th percentile

• 30th percentile

Definition

Multiple Choice

What does this symbol represent?

• Standard Deviation

• Variance

• Mean Absolute Deviation

• Sigma

Multiple Choice

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

Multiple Choice

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

Which set of data has data points that are closer to the mean?

Multiple Choice

Look at each data set's standard deviation.

Set 1: 15.9

Set 2: 14.64

Set 3: 17.88

Which set of data has values that are closer in relation to the mean value of the data?

• Set 1

• Set 2

• Set 3

• Not enough information is provided

Multiple Choice

Four data sets are shown below.
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?

• Set 1
• Set 2
• Set 3
• Set 4