Question

Four students has a median score 8 in this exam. If the highest score increases 2 points, the median will become qquad A. 8 D. 8,2 B. 8.5 C. 10 E. Cannot be determined If the mode, median and mean of a certain distribution are 7,8,9 respectively, then the distribution is: A. skewed negatively D. Symmetrical B. not skewed E. bimodal C. skewed positively Which of the following measures of central tendency tends to be most influenced by an extreme score? A. median D. range B. mode C. mean E. variance Let say, in your class with a total of 60 stidents the mean result of biostatistics exam is 70 and the median result is 55 . You will expect, A. Many students have scored below the average B. Many students have scored above the average C. Half of students have scored above 70 D. Half of students have scored below 70 E. 65 students scored 70 The measure of central tendency which is sensitive to extreme scores on the higher or lower end of a distribution is the: WOLKITE UNIVERSITY COLLEGE OF MEDICINE AND HEALTH SCIENCES Page 3 Tadele Girum's Biostatistics Exam question A. Median D. Range B. Mean E. all of the above C. Mode 20. In a group of 12 scores, the largest score is increased by 36 points. What effect will this have on the mean of the scores? A. it will be increased by 12 points C. it will be increased by 3 points B. it will remain unchanged D. it will increase by 36 points E. There is no way of knowing exactly how many points the mean will be increased. 21. Among ten 2^("nd ") year PH students, 3 students sored 4, 4ktudents scored 5, 2 students scored 9 and 1 student scored 10 in this evam. What is the mean or the scores? A. 3.8 D. 4 B. 6 E. 3 C. 5 22. The following set of scores is obtained on Biostatistics test, X: 4, 6,8,9,11,13,16,24 , 24, 24. 26. If the score 16 is corrected as 19 . Which of the following indices will be changed A. Median D. Standard deviation B. Mode E. All C. Range 23. The variance of a group of 10 scores in this class was 16 . If 2 were subtrac each score, the variance of the new scores would be: A. 14 B. 4 C. 16 D. 14.56 E. none of these

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## Solution

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Tristian BenderProfessional · Tutor for 6 years

### Answer

<p> 15.B, 16.C, 17.C, 18.A, 19.B, 20.C, 21.B, 22.D, 23.C</p>

### Explanation

<p> </p><br /><p><br />1. The median is not affected when the highest score (an outlier) is changed, so it remains the same. The new median is 8.5 when we split the set into two even groups after adding two points to the maximum score. <br />2. Neither the mode, median, or mean are greater nor lesser than each other, therefore the distribution is not skewed. <br />3. By definition of these terms, the mean gets most influenced by extreme values since every value is considered for its calculation as opposed to median (middle value) and mode (most frequently occurring). <br />4. Since the mean result of Biostatistics exams is far higher than the median result, many students scored below the average. The median being so low suggests that at least half of the students have scored below 55, hence the statement looks valid.<br />5. The mean is sensitive to extreme scores on either end of a score distribution.<br />6. When the largest score is increased by 36 points in a group of 12 scores, the mean will increase by 36/12 = 3 points, hence the mean of the group will increase by 3 points.<br />7. The mean score of ten students is calculated by adding all the scores (3x4 + 4x5 + 2x9 + 1x10) and dividing by the total number of students (10), which equals 6.<br />8. Changing the score from 16 to 19 will affect the standard deviation as both median and mode stay the same and there's no direct link between a single score point and the range.<br />9. Subtracting a constant from every number in a dataset does not change variance according to the properties of variance. Therefore, the variance remains unchanged at 16.<br /></p>

## Step-by-step video

Question:

Four students has a median score 8 in this exam. If the highest score increases 2 points, the median will become qquad A. 8 D. 8,2 B. 8.5 C. 10 E. Cannot be determined If the mode, median and mean of a certain distribution are 7,8,9 respectively, then the distribution is: A. skewed negatively D. Symmetrical B. not skewed E. bimodal C. skewed positively Which of the following measures of central tendency tends to be most influenced by an extreme score? A. median D. range B. mode C. mean E. variance Let say, in your class with a total of 60 stidents the mean result of biostatistics exam is 70 and the median result is 55 . You will expect, A. Many students have scored below the average B. Many students have scored above the average C. Half of students have scored above 70 D. Half of students have scored below 70 E. 65 students scored 70 The measure of central tendency which is sensitive to extreme scores on the higher or lower end of a distribution is the: WOLKITE UNIVERSITY COLLEGE OF MEDICINE AND HEALTH SCIENCES Page 3 Tadele Girum's Biostatistics Exam question A. Median D. Range B. Mean E. all of the above C. Mode 20. In a group of 12 scores, the largest score is increased by 36 points. What effect will this have on the mean of the scores? A. it will be increased by 12 points C. it will be increased by 3 points B. it will remain unchanged D. it will increase by 36 points E. There is no way of knowing exactly how many points the mean will be increased. 21. Among ten 2^("nd ") year PH students, 3 students sored 4, 4ktudents scored 5, 2 students scored 9 and 1 student scored 10 in this evam. What is the mean or the scores? A. 3.8 D. 4 B. 6 E. 3 C. 5 22. The following set of scores is obtained on Biostatistics test, X: 4, 6,8,9,11,13,16,24 , 24, 24. 26. If the score 16 is corrected as 19 . Which of the following indices will be changed A. Median D. Standard deviation B. Mode E. All C. Range 23. The variance of a group of 10 scores in this class was 16 . If 2 were subtrac each score, the variance of the new scores would be: A. 14 B. 4 C. 16 D. 14.56 E. none of these

Analysis:

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