The equation to find a z score is (x- mean)/(standard deviation)
So, in this case the equation would be
(76-70)/(2.1)
For,
X=76
Mean=70
Standard Deviation= 2.1
After solving we find that the z score equals 2.85714
or
2.8571
find the mean, median, and interquartile range for the data set below. 5,8,9,11,13,15,16,17,17,18,22,23
Alekssandra [29.7K]
Answer:
Mean: 14.5
Median: 15.5
IQR = 7.5
Step-by-step explanation:
For mean:
Mean= (∑x)/n
=(5+8+9+11+13+15+16+17+17+18+22+23)/12
= 174/12
=14.5
Median:
As the data is already sorted and the number of items are odd, average of two middle values will be the median of the data.
5,8,9,11,13,15,16,17,17,18,22,23
Median=(15+16)/2
=31/2
=15.5
IQR:
For IQR, the data has to be divided in two parts, lower and upper, then we have to find the median of both parts separately. The difference of medians of both parts is called the Interquartile range.
So for lower part,
5,8,9,11,13,15
Median for lower part= (9+11)/2
= 20/2
=10
For upper part:
16,17,17,18,22,23
Median for lower part= (17+18)/2
= 35/2
=17.5
IQR=17.5-10
=7.5
A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution. So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7
