This document provides directions for statistical analysis exercises using data on births from a fictional island population. Students are asked to:
1) Complete a table with measures of central tendency and variability (mean, median, mode, range, standard deviation) for annual births.
2) Identify whether the standard deviation given is for a population or sample and explain their choice.
3) Find lowest value, quartiles, median, highest value, and interquartile range from existing birth data.
4) Create a box and whisker plot displaying the above values.
5) Label a graph showing the mean and up to 3 standard deviations above and below it.
6) Calculate and find probabilities of births being less
Nameweeks 5 7 statistics islanddirectionsfor all c
1. Name: weeks 5-7
Statistics Island
Directions
For all calculations, show your work and/or explain how you
used the calculator to compute.
1. Your population is thriving on your island. The data you
have collected now needs to be displayed and analyzed. Use the
charts you created in the Probability Island project to complete
the table below. Use the total number of births per year to fill
in chart 3. Round to two decimal places if necessary
Chart 3 - Births
Mean
Median
Mode
Range
Standard Deviation
2. Is your standard deviation for a population or a sample? Why
did you select that answer?
3. Find the following values using your data from chart 1 on the
first project.
Chart 4
2. Lowest value
First Quartile (Q1)
Median (Q2)
Third Quartile (Q3)
Highest value
Interquartile range
4. Create a box and whisker plot using the answers from
question 3. Be sure to include the number line and label it.
5. Label Graph 1. Using the mean and standard deviation from
Chart 3, label the mean. Then label up to 3 standard deviations
above and below the mean.
Graph 1
6. a. Find the probability of the number of births annually being
less than 1 by calculating the z-score using the formula the
3. formula .
Then use the Area Under a Normal Distribution Curve table or
your calculator (Normalcdf).
b. Find the probability of the number of births annually being
greater than 2. Calculate the z-score. Then find the probability
by using the Area Under a Normal Distribution Curve table or
your calculator.
Answer is based on chapter 11
For your reflection/discussion this week, share three examples
from
your program/classroom that shows parent involvement at each
of the
three levels defined in chapter 11. Be specific.
Chapter 11 is attached and reference (Scully, P., A. (2019).
Families,
schools and communities: Building partnerships for education.
Upper
Saddle River, NJ: Person Education.)