Interpreting Statistics

Collections of data; evidence; facts

• Inductive Reasoning

• Deductive Reasoning

• Statistics

• Prediction

• Correlation

When two pieces of data seem related

• Inductive Reasoning

• Deductive Reasoning

• Statistics

• Prediction

• Correlation

What makes this graph misleading?

• The bars are all the same color

• The relative size of the bars does not match the data

• There is no x or y axis

• The dates are hard to read

When do we use box plots?

• When we want to show two sets of data

• When the data are random

• When we want to show the spread and median

• When the data is linear

What is the distribution of the data?

• skewed right

• skewed left

• symmetric

• stairsteps

What story is this chart or graph telling us?

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Based on the statistical results, what is the interpretation for standard deviation?

• The average score of 10 students in the Mathematics contest is 18. The typical score that a student will get in the Mathematics contest is 18.

• 50% of the students scored below 18 the other half scored above 18. 

• The difference of the lowest score and highest score is 22. Hence, the scores are less dispersed.

• This data shows that 68% of scores will fall from 11 to 24.

• 2 out of 10 students got a score of 18 in the Mathematics contest.

Based on the statistical results, what is the interpretation for median?

• The average score of 10 students in the Mathematics contest is 18. The typical score that a student will get in the Mathematics contest is 18.

• 50% of the students scored below 18 the other half scored above 18. 

• The difference of the lowest score and highest score is 22. Hence, the scores are less dispersed.

• This data shows that 68% of scores will fall from 11 to 24.

• 2 out of 10 students got a score of 18 in the Mathematics contest.

What is the sample interpretation of mean?

• The average score of 20 students in the National Achievement Test is 98. The typical score that a student will get in the National Achievement Test is 98.

• The middle age among 100 individuals who were interviewed about climate change is 38 years old. This means that 50% of the individuals aged under 38 years old and the other half aged about 38 years old. 

• 10 students got test scores of 6, 10, 12, 15, 18, 18, 20, 23, 25, and 28. The range of the test scores of 10 students is 22. Hence, the scores are less dispersed.

• The scores on the spelling test (SD = 12.3) were more spread out than those on the math test (SD = 5.5).

• 4 out of 20 students got a score of 95 in the National Achievement Test.

What is the sample interpretation of range?

• The average score of 20 students in the National Achievement Test is 98. The typical score that a student will get in the National Achievement Test is 98.

• The middle age among 100 individuals who were interviewed about climate change is 38 years old. This means that 50% of the individuals aged under 38 years old and the other half aged about 38 years old. 

• 10 students got test scores of 6, 10, 12, 15, 18, 18, 20, 23, 25, and 28. The range of the test scores of 10 students is 22. Hence, the scores are less dispersed.

• The scores on the spelling test (SD = 12.3) were more spread out than those on the math test (SD = 5.5).

• 4 out of 20 students got a score of 95 in the National Achievement Test.