SOLUTION: On a certain day the number of books on 40 shelves in a library were noted and grouped as shown. Find the mean number of books on the shelf and the standard deviation
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Question 472185: On a certain day the number of books on 40 shelves in a library were noted and grouped as shown. Find the mean number of books on the shelf and the standard deviation
# of books # of shelves
30 to under 35 4
35 to under 40 6
40 to under 45 10
45 to under 50 13
50 to under 55 5
55 to under 60 2
a) range
b) median
c) 9th percentile
d) Percentile rank of 450 km/h
e) Interquartile range
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4
5
6
10
13
.
a)13-2=11
.
b)(5+6)/2=5.5
.
e)
Q1=(n+1)/4=(6+1)/4=7/4=2 The 2nd rank number is 4
Q3=3(n+1)/4=3*7/4=5 The 5th rank number is 10
inter quartile range = Q1-Q3=10-4=6
.
Ed
