Question
In: Statistics and Probability
Forty randomly selected people were asked the number of people living in their home. Let X...
Forty randomly selected people were asked the number of people living in their home. Let X = the
number of people living in one home. The results are as follows:
| x | frequency | relative frequency |
| 1 | 2 | |
| 2 | 5 | |
| 3 | 8 | |
| 4 | 12 | |
| 5 | 12 | |
| 6 | 0 | |
| 7 | 1 |
-
Complete the frequency table.
-
Find the sample mean ?
c. Find the sample standard deviation, s. What does this tell us about the data?
d. Construct a histogram of the data. Be sure to label your axes.
e. Construct a box plot of the data. Identify all important parts.
-
What percent of the people that have at least 5 people living in their home?
-
Find the 40th percentile.
Solutions
Expert Solution
Complete table:
Sample mean:
(c):Sample standard deviation:
Using Emperical rule, This means that 68% of the people living in one home between 1.84 and 6.16 from 1 standard deviation.
(d): Histogram using Frequency:
Histogram using Relative frequency:
(e): Boxplot:
Use Five number of summary of boxplot:
Min = 1
First Quartile = 2.5
Second Quartile = 4
Third Quartile = 5.5
Max = 7
40th percentile of data:
First arrange the data and our data already arrange in ascending order.
a = ((p / 100) * n), where p = 40 and n = 7
a= (40 / 100) * 7 = 2.8
a value change into whole number which is 3, now see 3rd position value in data that is 3.
So, 40th percentile is 3.
orchestra answered 1 year agoRelated Solutions
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