Suppose 360 nursing students took a certification test that is worth 140 points. The five-number summary for the scores is shown here.
min. value = 68
Q1 = 110
median = 125
Q3 = 130 max.
value = 138
About how many students had a score of 130 or less?
Q3 is the value that 75% of the students score equal to or below.
Brett and Jim sign up to run in memorial day race.there are two different events in the race, a 5 kilometers and a 10 kilometers. Brett signed up for 5 kilometers and Jim signed for 10 kilometers. Use thermometers to indicate when both Brett and Jim finished3/5 of their races. How many kilometers has each person run at this point
the answer was 270! I just took tyhis test.
To determine how many students had a score of 130 or less, you can use the information provided in the five-number summary.
The first step is to find the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is calculated as:
IQR = Q3 - Q1 = 130 - 110 = 20
Next, calculate the lower fence, which is the lower limit below which values are considered outliers. The lower fence is calculated as:
Lower Fence = Q1 - 1.5 * IQR = 110 - 1.5 * 20 = 80
Since the minimum value provided is 68, which is less than the lower fence, we know there are no outliers in the data set.
Finally, since we know that the maximum value provided is 138, we can conclude that all values between the minimum value (68) and the maximum value (138) are within the range of interest.
Therefore, to find how many students had a score of 130 or less, we can subtract the minimum value from 130:
Number of students with a score of 130 or less = 130 - minimum value = 130 - 68 = 62
Hence, about 62 students had a score of 130 or less.