b) The request for the calculation of the largest amount spent by 50% of females implies the determination of the median that falls in the 15 -130 class. We proceed by interpolating within the class and we obtain Wi 15 Me(x) = Linf + (0,5 – F;-1) = = 15 + (0,5 – 0,42307) · = 17.7275. Pi 0,42308
b) The request for the calculation of the largest amount spent by 50% of females implies the determination of the median that falls in the 15 -130 class. We proceed by interpolating within the class and we obtain Wi 15 Me(x) = Linf + (0,5 – F;-1) = = 15 + (0,5 – 0,42307) · = 17.7275. Pi 0,42308
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Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:b) The request for the calculation of the largest amount spent by 50% of females implies the determination of the
median that falls in the 15 -130 class. We proceed by interpolating within the class and we obtain
15
Wi
= 17.7275.
Me(x) = Linf + (0,5 – F;-1)
: = 15 + (0,5 – 0,42307)
Pi
0,42308
![In a certain week, a perfumery records the frequency distribution of the expenses for two samples of
customers: females (Table 1) and males (Table 2).
Expenses
[О, 8)
[8, 15)
[15, 30)
[30, 60]
Table 1-The distribution of expenses for females.
N. Customers
Еxpenses
ГО, 8)
[8, 15)
[15, 30)
[30, 60]
Table 2-The distribution of expenses for males.
N. Customers
8
16
12
22
5
8
1
a) Draw a histogram for the expenses by females (Table 1) and comment on the shape of the distribution.
b) With reference to the distribution of the shopping done by females (Table 1), calculate the largest
amount spent by 50% of females and compare it with the average amount spent by females, in order to
obtain information about the shape of the distribution. Is this result expected on the basis of your
comment in question a)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dcb1cee-1778-4ab1-abe8-80381e2d7798%2Fc6202c36-9cc7-4370-91ee-0b84ed5b451b%2Fc2y9zzk_processed.png&w=3840&q=75)
Transcribed Image Text:In a certain week, a perfumery records the frequency distribution of the expenses for two samples of
customers: females (Table 1) and males (Table 2).
Expenses
[О, 8)
[8, 15)
[15, 30)
[30, 60]
Table 1-The distribution of expenses for females.
N. Customers
Еxpenses
ГО, 8)
[8, 15)
[15, 30)
[30, 60]
Table 2-The distribution of expenses for males.
N. Customers
8
16
12
22
5
8
1
a) Draw a histogram for the expenses by females (Table 1) and comment on the shape of the distribution.
b) With reference to the distribution of the shopping done by females (Table 1), calculate the largest
amount spent by 50% of females and compare it with the average amount spent by females, in order to
obtain information about the shape of the distribution. Is this result expected on the basis of your
comment in question a)?
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