After the summer vacation, a class teacher asked his class how many short stories they had read. Class 7
mediumAfter the summer vacation, a class teacher asked his class how many short stories they had read. Class 7
Question 1.
After the summer vacation, a class teacher asked his class how many short stories they had read. Each student answered the number of stories read on a piece of paper, as shown below. Find the mean and median number of short stories read. Before calculating them, can you guess whether the mean will be less than or greater than the median? Class 7
Mark the data, the mean, and the median on the dot plot below.
Solution:
Mean will be greater than median. Data : 0, 0, 1, 2, 3, 5, 5, 6, 7, 8, 8, 10, 12, 15, 40
Mean = [latex]\frac {0+0+1+2+3+5+5+6+7+8+8+10+12+15+40}{15}[/latex]
= [latex]\frac {122}{15}[/latex] = 8[latex]\frac {2}{15}[/latex]
Median = ([latex]\frac {15+1}{2}[/latex])th observation
= 8th observation
Median = 6
Mean = 8[latex]\frac {2}{15}[/latex]
Median = 6
Question 2.
Which of the values would you consider an outlier? Class 7
Solution:
40 seems to be outlier.