What is the iqr (inter quartile range) for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71?
2 answers:
Answer:
Step-by-step explanation:
The given data set is:
27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71
Firstly, arrange the given data set in ascending order, we get
4, 5, 6, 27, 27, 41, 48, 54, 64, 71, 78, 79
Now, the first half of the given data set is 4, 5, 6, 27, 27, 41 , thus the middle value is Lower quartile that is:
And, the second half of the given data set is 48, 54, 64, 71, 78, 79, thusthe middle value is the upper quartile that is:
Now, Interquartile range is given as:
=
=
Thus, the Interquartile range is 51.
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Answer:
There are 118 plants that weight between 13 and 16 pounds
Step-by-step explanation:
For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)
This can be translated into standard normal units by :
Let X be the weight of the plant
X ~ Normal( 15 , 1.75 )
To find : P( 13 < X < 16 )
= P( -1.142857 < Z < 0.5714286 )
= P( Z < 0.5714286 ) - P( Z < -1.142857 )
= 0.7161454 - 0.1265490
= 0.5895965
So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965
Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200
= 117.9193
Therefore, There are 118 plants that weight between 13 and 16 pounds.