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Parents Pricing Home GCSE Edexcel Maths Forming & Solving Equations There are 30 women and 20 men at a gym
There are 30 women and 20 men at a gym - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 3 Question 8
View full question There are 30 women and 20 men at a gym.
The mean height of all 50 people is 167.6cm
The mean height of the 20 men is 182cm
Work out the mean height of the 30 women... show full transcript
View marking scheme Worked Solution & Example Answer:There are 30 women and 20 men at a gym - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 3
Find Total Height of All People Only available for registered users.
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To find the total height of all 50 people, multiply the mean height by the number of people:
T o t a l e x t H e i g h t = e x t M e a n H e i g h t i m e s e x t N u m b e r o f P e o p l e = 167.6 e x t c m i m e s 50 = 8380 e x t c m . Total ext{ }Height = ext{Mean Height} imes ext{Number of People} = 167.6 ext{ cm} imes 50 = 8380 ext{ cm}. T o t a l e x t He i g h t = e x t M e an He i g h t im ese x t N u mb ero f P eo pl e = 167.6 e x t c m im es 50 = 8380 e x t c m .
Find Total Height of Men Only available for registered users.
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Now calculate the total height of the 20 men:
T o t a l e x t H e i g h t e x t o f e x t M e n = e x t M e a n H e i g h t o f M e n i m e s e x t N u m b e r o f M e n = 182 e x t c m i m e s 20 = 3640 e x t c m . Total ext{ }Height ext{ }of ext{ }Men = ext{Mean Height of Men} imes ext{Number of Men} = 182 ext{ cm} imes 20 = 3640 ext{ cm}. T o t a l e x t He i g h t e x t o f e x t M e n = e x t M e an He i g h t o f M e n im ese x t N u mb ero f M e n = 182 e x t c m im es 20 = 3640 e x t c m .
Calculate Total Height of Women Only available for registered users.
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To find the height of the 30 women, subtract the total height of men from the total height of all people:
T o t a l e x t H e i g h t e x t o f e x t W o m e n = T o t a l e x t H e i g h t − T o t a l e x t H e i g h t e x t o f e x t M e n = 8380 e x t c m − 3640 e x t c m = 4740 e x t c m . Total ext{ }Height ext{ }of ext{ }Women = Total ext{ }Height - Total ext{ }Height ext{ }of ext{ }Men = 8380 ext{ cm} - 3640 ext{ cm} = 4740 ext{ cm}. T o t a l e x t He i g h t e x t o f e x t W o m e n = T o t a l e x t He i g h t − T o t a l e x t He i g h t e x t o f e x t M e n = 8380 e x t c m − 3640 e x t c m = 4740 e x t c m .
Find Mean Height of Women Only available for registered users.
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Finally, calculate the mean height of the 30 women by dividing the total height of women by the number of women:
Mean ext{ }Height ext{ }of ext{ }Women = rac{Total ext{ }Height ext{ }of ext{ }Women}{Number ext{ }of ext{ }Women} = rac{4740 ext{ cm}}{30} = 158 ext{ cm}. Join the GCSE students using SimpleStudy...97% of StudentsReport Improved Results
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