Find the median, range, and interquartile range of both sets: Set 1: 65, 66, 77, 79, 81, 93, 104, 105 Set 2: 56, 1, 29, 72, 67,
2 answers:
Answer:
Option c. Both sets have an interquartile range of 27.
Step-by-step explanation:
To find median first we write both the sets in ascending order.
Set 1: 65, 66, 77, 79, 81, 93, 104, 105
Median is the middle number of the set or mean of two middle numbers. Median = = 80
Range = highest - lowest
Range = 105 - 65 = 40
IQR = Median of upper quartile - Median of lower quarlile
QR = Q3 - Q1
IQR = 98.5 - 71.5 = 27
Set 1 : Median = 80, Range = 40, IQR = 27
Set 2: 1, 29, 56, 59, 60, 67, 72, 74
Median = = 59.5
Range = 74 - 1 = 73
IQR = 69.5 - 42.5 = 27
Set 2 : Median = 59.5, Range = 73, IQR = 27
Option c. is correct Both sets have an interquartile range of 27.
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Answer:
3 seconds.
Step-by-step explanation:
We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.
To find the time it will take for object to hit the ground, we will use formula:
, where,
represents initial velocity and
represents initial height.
Upon substituting our given initial velocity and initial height, we will get:
We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:
Divide by 2:
Upon using quadratic formula, we will get:
Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.