Question

Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors such as diet and environment that may be related to the formation of enteroliths. The study contained seven stallions with their ages, in years, as follows:

10 20 4 13 21 16 16

The mean age for this group of stallions is:

A Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors such as diet and environment that may be related to the formation of enteroliths. The study contained seven stallions with their ages, in years, as follows:

10 20 4 13 21 16 16

The median age of the stallions is:

B. Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors such as diet and environment that may be related to the formation of enteroliths. The study contained seven stallions with their ages, in years, as follows:

10 20 4 13 21 16 16

The IQR of age for the stallions is:

C. Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors such as diet and environment that may be related to the formation of enteroliths. The study contained seven stallions with their ages, in years, as follows:

10 20 4 13 21 16 16

The youngest stallion at 4 years old is:

1) an outlier because it is more than 15 years below the lower quartile.

2) an outlier because it is the minimum.

3) not an outlier because it is less than 15 years below the lower quartile.

4) not an outlier because it is a positive value.

D. Enteroliths are calcifications that form in the gut of a horse. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors such as diet and environment that may be related to the formation of enteroliths. The study contained seven stallions with their ages, in years, as follows:

10 20 4 13 21 16 16

The standard deviation of the ages for the stallions is

Answer 1

A. mean=14.29

median=16

B. IQR=10

C. option 3

D. 5.91

Explanation:

mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29

median is achieved by arranging data in increasing order and then calculating the middle value

4 10 13 16 16 20 21

The mid value is 16 so the median=16

IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10

As n/4=7/4 is not an integer so

Q1=(n/4+1)value=(7/4+1)=2.75=2nd value=10

Q3=(3n/4+1)value=6.25=6th value=20

Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91