Mean, Median, Mode and Range FSQ1
Some students were asked about the number of hours they spend per week studying. Their answers are listed below:
3,9,12,9,15,4,5,9,22,5,
Mean, Median, Mode and Range FS1(a)
Calculate the mean number of hours spent studying.
Give your answer to 1 decimal place.
Answer type: simple
Answer: 9.2 hours
Workings:
The total number of hours spent studying is 3+9+12+9+15+4+4+9+22+5=92
The total number of people is 10
So the mean is 92\div 10 = 9.2
2 marks
Mean, Median, Mode and Range FS1(b)
Calculate the range of hours spent studying.
Answer type: simple
Answer: 19 hours
Workings:
The range is the difference between the largest and smallest values:
Range =22-3=19
1 mark
Mean, Median, Mode and Range FS1(c)
Give the value of the mode.
Answer type: simple
Answer: 9 hours
Workings:
The mode is the most common value, which is 9 hours
1 mark
Mean, Median, Mode and Range FS1(d)
Calculate the median.
Answer type: simple
Answer:
Workings:
Putting the numbers in order gives:
3,4,5,8,9,9,912,15,22
The position of the median value is given by \dfrac{n+1}{2}, which is \dfrac{10+1}{2}=5.5
The median is therefore halfway between the 5^{\text{th}} and 6^{\text{th}} value, which is 9
2 marks