Lesson Plans SET B for Grades 7-8-Lesson 5 Level 7-8 Statistics-HW

Lesson 5 Level 7-8 Statistics-HW

Pdf Summary

This document provides a set of practice problems focused on statistics, specifically dealing with averages and arithmetic means, intended for students at Level 7-8. Here is a summary of the problems and solutions provided:<br /><br />1. **Problem:** Chau needs to determine the minimum score required on her next test to maintain the possibility of achieving an average of 90 after her 10th test, given her current average over 8 tests is 88 and the highest possible score per test is 100.  <br />   **Solution:** Chau must score at least 96 on her next test.<br /><br />2. **Problem:** Kim aims to increase her average to 90 after recording scores of 96 on her next two tests. She already has taken 6 tests. The task is to find her current average.  <br />   **Solution:** Kim's current average is 88.<br /><br />3. **Problem:** Mark's average for the season will be 18 if he scores 20 points in the next game and 20 if he scores 32 points. Determine the total number of games in the season.  <br />   **Solution:** There are 6 games in the season.<br /><br />4. **Problem:** Identify two numbers from the set {25, 12, 28, 17, 30, 8, 18, 22} that, when removed, decrease the arithmetic mean by 2.  <br />   **Solution:** Removing 30 and 22 will achieve this result.<br /><br />5. **Problem:** Four different whole numbers are added to the set {4, 5, 5, 8, 13}, and this increases the arithmetic mean by 2. Find the greatest possible number among the added four numbers.  <br />   **Solution:** The greatest possible number is 43, with the added numbers being 0, 1, 2, and 43.<br /><br />The document seems to be part of a broader educational material for Math Kangaroo classes, intended to reinforce the understanding of statistical concepts through problem-solving.

Keywords

statistics

averages

arithmetic means

practice problems

Level 7-8

test scores

arithmetic mean

Math Kangaroo

educational material

problem-solving