Answer:
5
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
First find the median.
The median is the middle value of the data set arranged in ascending order
1 5 5 7 9 ← data in ascending order
↑ median
The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.
1 5
↑ lower quartile = = 3
The upper quartile is the middle value of the data to the right of the median.
7 9
↑ upper quartile = = 8
Thus
interquartile range = 8 - 3 = 5
I multiply second equation by 2 which becomes -4x+ 6y=8 and for y I multiply second equation by 3 which becomes -6x+9y=12
Answer:
y = -8/3x + 33
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 1 / 9 -12
8 / -3
= -8/3
y = -8/3x + b
1 = -8/3(12) + b
1 = -32 + b
33 = b
We have been given that a set of average city temperatures in May are normally distributed with a mean of 20.66°C and a standard deviation of 2 C. The average temperature of Singapore is 26°C. We are asked to find the proportion of average city temperatures that are lower than that of Singapore.
First of all, we will find z-score corresponding to sample score of 26.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we need to find probability of a z-score less than 2.67 that is .
Using normal distribution table, we will get:
Upon rounding to 4 decimal places, we will get:
Therefore, approximately of average city temperatures are lower than that of Singapore.