Data Set: Number of Pages in the Selected Books

Question

Book
1
Book
2
Book
3
Book
4
Book
5

Book
6
Book
7
Book
8
Book
9
Book
10

Book
11
Book
12
Book
13
Book
14
Book
15
1. What would be the best graph or display to represent your Home Library
Statistics data? Why?
2. Find the mean of your data. Show your work.
3. Find the median of your data. Show your work.
4. Find the mode of your data. Show your work.
5. Find the range of your data. Show your work.
6. Find the interquartile range (IQR) of your data. Show your work.

Answer 1

1. A histogram would be the best graph to represent the data as it shows the frequency of the number of pages in the selected books.

2. Mean = (1+2+3+4+5+6+7+8+9+10+11+12+13+14+15) / 15 = 8

3. Median = The middle value of the data set, which is 8.

4. Mode = There is no mode since each value appears only once.

5. Range = The difference between the maximum and minimum values, which is 15-1 = 14.

6. To find the interquartile range (IQR), we first need to find the first and third quartiles:

- First quartile (Q1) = the median of the lower half of the data set (values 1 to 7):
Q1 = (4+3)/2 = 3.5
- Third quartile (Q3) = the median of the upper half of the data set (values 9 to 15):
Q3 = (12+13)/2 = 12.5

IQR = Q3 - Q1 = 12.5 - 3.5 = 9.