Classwork

a. Bob says the median is 50. Why does Bob think this? What is he doing wrong?

b. How many students took the math test? Explain your answer.

c. Jamal claims that more students scored between 15 and 40 than between 70 and 90 because the lower whisker is longer than the upper whisker. What mistake is Jamal making?

d. Identify the range for the test scores.

e. Determine the IQR for the test scores. Then, explain what the IQR represents in this problem situation.

f. What percent of test scores are between Q1 and Q3?

Classwork

a. Bob says the median is 50. Why does Bob think this? What is he doing wrong?

b. How many students took the math test? Explain your answer.

c. Jamal claims that more students scored between 15 and 40 than between 70 and 90 because the lower whisker is longer than the upper whisker. What mistake is Jamal making?

d. Identify the range for the test scores.

e. Determine the IQR for the test scores. Then, explain what the IQR represents in this problem situation.

f. What percent of test scores are between Q1 and Q3?

Warm-up Name:Statistical Question: How many pairs of shoes do 6th graders typically own?Make box plots from the two data sets below. Put both box plots on the same number line.

3rd Period2, 3, 4, 4, 4, 5, 6, 8, 10, 10, 11, 15, 16, 16, 16, 20, 20, 26, 60, 74

Minimum: Q1: Median: Q3: Maximum:

8th Period1, 2, 2, 4, 7, 9, 9, 10, 10, 10, 10, 11, 16, 25

Minimum: Q1: Median: Q3: Maximum:

Warm-up Name:Statistical Question: How many pairs of shoes do 6th graders typically own?Make box plots from the two data sets below. Put both box plots on the same number line.

3rd Period2, 3, 4, 4, 4, 5, 6, 8, 10, 10, 11, 15, 16, 16, 16, 20, 20, 26, 60, 74

Minimum: Q1: Median: Q3: Maximum:

8th Period1, 2, 2, 4, 7, 9, 9, 10, 10, 10, 10, 11, 16, 25

Minimum: Q1: Median: Q3: Maximum:

Name:

Notes: Statistics1. Ask a Statistical Question – Would a survey/experiment help you answer this question?

a. Example – “How many freckles do 6th graders have?”b. Non-example – “How many freckles does Beyonce have?”

2. Gather the dataa. Numerical data - the answer to the question is a number (How old are you? How much money do you have?)b. Categorical data – the answer to the question is a word or category (What’s your favorite class? Do you like

Twix?)

3. Represent the Dataa. Dot Plot (aka Line Plot) b. Frequency Table

c. Histogram – the numbers are organized into intervals

d. Box Plot (sometimes called a “Box-and-Whisker” Plot)

4. Analyze the Dataa. Measures of Center

i. Mean (aka the average) – Add the numbers and divide by the number of numbers ii. Median (aka the middle)

Step 1 – Put the numbers in orderStep 2 – Find the number in the middle* *If there are two numbers in the middle, add the two numbers together and divide by 2 to find the number halfway between them.

iii. Mode (MOde = Most Often)

b. Measures of Spreadi. Range – subtract the lowest and highest number

ii. IQR (Interquartile range) – subtract the first quartile from the third quartile

c. Describe the Shape

Name:

Notes: Statistics1. Ask a ___________________________________________ – Would a survey/experiment help you answer this question?

a. Example – “How many freckles do 6th graders have?”b. Non-example – “How many freckles does Beyonce have?”

2. Gather the dataa. Numerical data - the answer to the question is a ___________________ (How old are you? How much money do

you have?)b. Categorical data – the answer to the question is a word or ___________________________ (What’s your favorite

class? Do you like Twix?)

3. Represent the Dataa. _____________________________ (aka Line Plot) b. _____________________________________

c. __________________________ – the numbers are organized into intervals

d. Box Plot (sometimes called a “Box-and-Whisker” Plot)

4. Analyze the Dataa. Measures of _________________________________

i. _____________________________ (aka the average) – Add the numbers and divide by the number of numbers

ii. _____________________________ (aka the middle)Step 1 – Put the numbers in orderStep 2 – Find the number in the middle* *If there are two numbers in the middle, add the two numbers together and divide by 2 to find the number halfway between them.

iii. _________________________ (MOde = Most Often)

b. Measures of __________________________________i. Range – subtract the lowest and highest number

ii. IQR (Interquartile range) – subtract the first quartile from the third quartile

c. Describe the Shape

Graphing ReviewMr. Bianchi was working at a restaurant for the summer and kept track of the amount he made

each week in tips. The amount of money he earned in 15 weeks are shown here:$48, $40, $36, $51, $48, $40, $36, $49, $48, $42, $48, $37, $38, $36, $51

Dot Plots

Show the data on a dot plot:

HistogramShow the data as a histogram:

Box PlotShow the data on a box plot:

Study Guide

1. a. Write out the data set represented by the dot plot above. b. What is the mean of the data set?

c. What is the median of the data set? d. What is the mode of the data set?

*e. Which of the numbers above (mean, median, or mode) gives us the best answer to the question - “How many points does Tamika usually score?”. Explain your choice.

2. a. How many students played between 5-10 hours of video games?

b. Which interval would someone who played 10 hours of video games fall into?

c. How many students played less than 10 hours?

d. How many total students are represented in this histogram?

*e. Describe the shape of this histogram. Why is a graph about video games shaped this way?

*f. Do you think the mean is greater than, less than, or about the same as the median? Explain your choice.

3. The box plot below shows the number of hours people volunteered at the animal shelter.

a. What is the median? b. What was the greatest number of hours someone volunteered?

c. What is the IQR (interquartile range)? *d. What percent of people volunteered more than 14 hours?

a. Make a frequency table from the data.

Hours Frequency

0-5

5-10

10-15

15-20

20-25

b. Make a histogram

c. Find the missing values, then use them to construct a box plot

Lower Extreme: Lower Quartile: Median: Upper Quartile: Upper Extreme: