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2025 National One Eighth mathematics Topic 4 Free

Statistics

Arithmetic mean of a set of measurements · Sub-topic 1

ONE EIGHTH CONTEST 2025

Ghana National College - 65 points

Tema Secondary School - 33 points

Effiduase SHCS - 28 points


ONE EIGHTH CONTEST 2025

Mankranso SHS - 43 points

St Paul's SHS, Denu - 23 points

Adonten SHS - 14 points


ONE EIGHTH CONTEST 2025

St. Thomas Aquinas SHS - 51 points

Tamale SHS - 37 points

O'Reilly SHS - 25 points


ROUND 2 SPEED RACE

ARITHMETIC MEAN

QUESTION

Find the arithmetic mean of 2 millimeters, 3 millimeters, 5 millimeters, 6 millimeters, 9 millimeters, and 17 millimeters.

SOLUTION

$Arithmetic\ Mean=\frac{(2 + 3 + 5 + 6 + 9 + 17)}{6}$

$=\frac{42}{6}$

$=7\ millimeters$


PRACTICE QUESTIONS


1. Find the arithmetic mean of 4 millimeters, 6 millimeters, 9 millimeters, 13 millimeters, 18 millimeters.

ANSWER: 10 millimeters


SOLUTION

$\text{Mean}=\dfrac{4+6+9+13+18}{5}$

$=\dfrac{50}{5}$

$=10\ \text{millimeters}$


2. Find the arithmetic mean of 1.5 centimeters, 2.5 centimeters, 3.5 centimeters, 4.5 centimeters.

ANSWER: 3 centimeters


SOLUTION

$\text{Mean}=\dfrac{1.5+2.5+3.5+4.5}{4}$

$=\dfrac{12}{4}$

$=3\ \text{centimeters}$


3. Find the arithmetic mean of 12 grams, 15 grams, 18 grams, 20 grams, 25 grams, 30 grams.

ANSWER: 20 grams


SOLUTION

$\text{Mean}=\dfrac{12+15+18+20+25+30}{6}$

$=\dfrac{120}{6}$

$=20\ \text{grams}$


4. Find the arithmetic mean of 7 seconds, 9 seconds, 11 seconds, 13 seconds, 15 seconds, 17 seconds, 19 seconds.

ANSWER: 13 seconds


SOLUTION

$\text{Mean}=\dfrac{7+9+11+13+15+17+19}{7}$

$=\dfrac{91}{7}$

$=13\ \text{seconds}$


5. Find the arithmetic mean of 8 grams, 12 grams, 16 grams, 20 grams, 24 grams.

ANSWER: 16 grams


SOLUTION

$\text{Mean}=\dfrac{8+12+16+20+24}{5}$

$=\dfrac{80}{5}$

$=16\ \text{grams}$


6. Find the arithmetic mean of 2.5 metres, 3.5 metres, 4.5 metres, 5.5 metres, 6.5 metres.

ANSWER: 4.5 metres


SOLUTION

$\text{Mean}=\dfrac{2.5+3.5+4.5+5.5+6.5}{5}$

$=\dfrac{22.5}{5}$

$=4.5\ \text{metres}$