Which interval describes the number of hours spent studying in a typical week for about 50% of the students sampled?
2 to 9
9 to 14
9 to 20
14 to 20
A five number summary of respones is:
2,9, 14, 20, 60
To determine the interval that describes the number of hours spent studying in a typical week for about 50% of the students sampled, we can look at the five-number summary. The five-number summary you provided is: 2, 9, 14, 20, 60.
The first quartile (Q1) is the 25th percentile, which is the median of the lower half of the data. In this case, Q1 is 9.
The third quartile (Q3) is the 75th percentile, which is the median of the upper half of the data. In this case, Q3 is 20.
To estimate the interval describing the number of hours for about 50% of the students sampled, we can consider the range from Q1 to Q3. Therefore, the interval will be from 9 to 20 hours.
So, the correct interval that describes the number of hours spent studying in a typical week for about 50% of the students sampled is 9 to 20.
To determine the interval that describes the number of hours spent studying in a typical week for about 50% of the students sampled, we can look at the five number summary provided: 2, 9, 14, 20, 60.
The five number summary consists of the minimum value (2), the first quartile (9), the median (14), the third quartile (20), and the maximum value (60).
To determine the interval that represents approximately 50% of the students, we need to find the middle 50% of the data, which is between the first quartile and the third quartile.
In this case, the interval that represents the number of hours spent studying in a typical week for about 50% of the students sampled is 9 to 20.
A five-number summary represents the following qualifiers:
minimum
Q1
median
Q3
maximum
the interval minimum/median represents 50% of the data in the lower half.
the interval median/maximum represents 50% of the data in the upper half.
the interval Q1/Q3 represents 50% of the data in the middle half, which better represents the population.
So choose the appropriate interval and post your answer for a check if you wish.