Use the following information to answer the question. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were:62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740There are outliers in the given data.
Question
Use the following information to answer the question. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were:62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740There are outliers in the given data.
Solution
The given data set is: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76, 78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740.
Step 1: Arrange the data in ascending order: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76, 78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740.
Step 2: Calculate the first quartile (Q1), the median (Q2), and the third quartile (Q3).
Q1 is the median of the first half of the data: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76, 78. The median is 72.
Q2 is the median of the entire data set: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76, 78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740. The median is 78.
Q3 is the median of the second half of the data: 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740. The median is 88.
Step 3: Calculate the interquartile range (IQR), which is Q3 - Q1. The IQR is 88 - 72 = 16.
Step 4: Identify potential outliers. Any data point that falls below Q1 - 1.5IQR or above Q3 + 1.5IQR is considered an outlier.
Q1 - 1.5IQR = 72 - 1.516 = 48 Q3 + 1.5IQR = 88 + 1.516 = 112
So, any data point that is less than 48 or greater than 112 is an outlier.
Step 5: Check the data for any numbers that fall outside this range. The number 740 is an outlier in this data set.
Similar Questions
The following data set lists the midterm scores received by 50 students in a chemistry class: .Find the interquartile range. a. 24 b. 18 c. 20 d. 22 45 85 92 99 37 68 67 78 81 25 97 100 82 49 54 78 89 71 94 87 21 77 81 83 98 97 74 81 39 77 99 85 85 64 92 83 100 74 68 72 65 84 89 72 61 49 56 97 92 82
Use the following information to answer the question. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were:62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100, 740A stem plot for the above data, using only the values in the range 0–100 will have the following Stems: 6, 7, 8, 9 and 10. How many leaves are found in the Stem # 7?
The median of the following data is: Marks: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60, 60-70 No. of Students: 15, 25, 52, 56, 78, 80, 70a.40.67b.45.13c.47.41d.49.28
On a standardized test, the median mark was 70.8%. Of the 22,759 students who wrote the test, only 1 received this mark. How many students got a lower mark?A) 6,790B) 11,379C) 16,113D) It is impossible to know based on this information alone.
How did the outlier affect the scores?
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