Reference no: EM133153889

Standards:

CCSS.S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).
CCSS.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
CCSS.S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
CCSS.S.ID.5
Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

Criterion A: Knowing and understanding Maximum:
At the end of year 4, students should be able to:
i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations
ii. apply the selected mathematics successfully when solving problems
iii. solve problems correctly in a variety of contexts.

Level 1-2

Question 1. What is the total number of students in the class?

Question 2. What is the mode for the numbers 7, 6, 5, 8, 7, 5, 9, 3, 5 and 4?

Question 3. This table shows the results of a school survey showing the favorite circus acts of students.

• What kinds of data are shown in this two-way table?

• Label the table to show the joint and marginal frequencies.

Level 3-4

Question 4. Find the median of the set of numbers: 1,2,3,4,5,6,7,8,9 and 10.
6+5=11
11 divided by 2= 5.5
The median of the set is 5.5

Question 5. Students took part in a survey asking them which superpowers they would most like to have. Here a two-way table of the results.

• How many of the students who answered the survey wanted super strength?
• How many boys want to be able to fly?
• Discuss two major differences between the choices of boys and girls.

Level 5-6

Question 6. Which of the following data sets is best represented by the histogram?

A) 5, 12, 16, 24, 27, 31, 34, 36, 38, 41, 44, 46, 46, 49

B) 9, 21, 25, 32, 42, 49, 53, 55, 57, 58, 62, 64, 66, 67, 71, 77, 78, 87, 95

C) 1, 2, 3, 3, 4, 6, 8, 10

D) 1, 3, 4, 7, 12, 16, 23, 28, 31, 35, 37, 39, 47

Question 7. Here is a two-way frequency table showing the results of a survey about the breakfast habits of students.

Complete this two-way table to show the missing frequencies.

Complete the following two way relative frequency table to show the conditional relative frequencies based on rows.

Use these relative frequencies to find the percentage of 14-17 year old students who skip breakfast.

Level 7-8

Question 8. A statistician recorded the length of each of Pixar's first 14 films. The statistician made a dot plot, a histogram, and a box plot to display the running time data. Which diagram/display could be used to find the mean? Explain your reason.

A) Histogram
B) Box Plot
C) Dot plot

Explain:

Question 9. Robin collected data on the number of hours she watched television on Sunday through Thursday nights for a period of 3 weeks. The data are shown in the table below.

Using an appropriate scale on the number line below, construct a box plot for the 15 values.

Attachment:- Distributions - Integrated Math.rar