Week 328 (5th January 2024)

Katherine is back at the gym after enjoying the Christmas break.  

She is not the only one who has decided to hit the gym, including Katherine there are 30 women and 20 men at the gym today.  

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. 

Answer: 

Total height of all 50 people = 167.5 x 50 = 8375 

If there are 20 men and 50 people in total there must be 30 women.  

Total height of all 20 men = 182 x 20 = 3640 

Total height of all 30 women = 8375 – 3640 = 4735 

Mean height of 30 women = 4735/30 = 157.8 or 158cm.