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High School Math Test Answer & Solutions

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1. IQ scores for a sample of students were 94, 103, 113, 96, 113, 93, and 95. What is the mean IQ score for the sample?

Mean = (1/n)SUM{xi} = {94+101+113+96+113+93}/6

Mean = 101.67

2. Find the median of the following set of numbers.

49, 18, 56, 29, 62, 61

First arrange the values in numerical order, lowest to highest thus

18, 29, 49, 56, 61, 62

Median of set is just the mid range value,

Median = Mean(49, 56) =(49+56)/2 = 52.5

3. The thicknesses (in mm) of a sample of galvanized washers are as follows:
21.8, 19.9, 20.1, 21.8, 20, 19.7, 21.8, 21.5

Find the mode.

Mode is the most common value in the sample set so

Mode = 21.8 mm

4. Use the world population and land area table above.

a) What was the population of Africa in 1900?

Look in 1900 column and find intersection in row labeled Africa
to find the value for population

Population(Africa in 1900) = 118,000,000

b) What is the total land area of South America?

Look in Land Area column and find intersection in row labeled
South America

Land Area S America = 6,900,000 mi2

c) What is the total land area in Africa as a percent of Earth?

Look in % Earth column and find intersection in row labeled
Africa to find % land coverage of Africa on the Earth

% Earth, Africa Land mass = 20.2%

5. The following pie chart shows the budget for a local company. The total budget is $700,000. Find the dollar amount budgeted in the category of taxes.

Taxes account for 15% of the total so

Taxes = 15% x $700,000 = $105,000

6. Household type Number
Married couple, family household 54,493,232
Female householder, no husband present 12,900,103
Male householder, no wife present 4,394,012
One person, non-family household 27,230,075
Two or more people, non-family household 6,462,697

Create pie chart for the information.

Total number T = 54,493,232 + 12,900,103 + 4,394,012 + 27,230,075 + 6,462,697 = 105480119

% Married Couple, family h/h = 54493232/105480119 * 100
= 51.67%

% Female h/h no husband = 12900103/105480119*100 = 12.23%

% Male h/h, no wife present = 4394012/105480119*100 = ...

Solution Summary

30 Questions for typical High School Math exam wih solutions. Areas covered included statistics (means, averages, medians, modes), fraction manipulation, arithmetic, money prolems

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