Here are the quiz scores from Brother Garcia's class. Please calculate the standard deviation of the data. Round to 2 decimal places.Student Quiz Score1 802 803 904 705 806 807 708 909 6010 2011 1012 7013 6014 8015 80Group of answer choices68 is the Standard Deviation in the Quiz Scores23.36 is the Standard Deviation in the Quiz Scores24 is the Standard Deviation in the Quiz Scores1020 is the Standard Deviation in the Quiz Scores
Question
Here are the quiz scores from Brother Garcia's class. Please calculate the standard deviation of the data. Round to 2 decimal places.Student Quiz Score1 802 803 904 705 806 807 708 909 6010 2011 1012 7013 6014 8015 80Group of answer choices68 is the Standard Deviation in the Quiz Scores23.36 is the Standard Deviation in the Quiz Scores24 is the Standard Deviation in the Quiz Scores1020 is the Standard Deviation in the Quiz Scores
Solution
To calculate the standard deviation of the data, follow these steps:
-
First, calculate the mean (average) of the data set. Add up all the scores and divide by the number of scores.
(80+80+90+70+80+80+70+90+60+20+10+70+60+80+80) / 15 = 63.33
-
Subtract the mean from each score to get the deviation of each score.
For example, the deviation of the first score (80) is 80 - 63.33 = 16.67. Do this for each score.
-
Square each deviation.
For example, the squared deviation of the first score is 16.67^2 = 277.78. Do this for each score.
-
Calculate the mean of these squared deviations.
Add up all the squared deviations and divide by the number of scores. This is called the variance.
-
Finally, take the square root of the variance to get the standard deviation.
After following these steps, you will find that the standard deviation of the quiz scores is 23.36 (rounded to two decimal places). So, the correct answer is "23.36 is the Standard Deviation in the Quiz Scores".
Similar Questions
A standardized test has a mean score of 500 points with a standard deviation of 100 points. Five students' scores are shown below.Adam: 575 Beth: 690 Carlos:750 Doug:280 Ella: 440Which of the students have scores within two standard deviations of the mean?Group of answer choicesCarlos, DougAdam, Beth, Carlos, EllaAdam, BethAdam, Beth, Ella
Based on sample quiz score data, an instructor found that the average distance from the mean quiz score was 1.25. This measurement reflects the1 pointrange.deviation score.standard deviation.variance.
Question 4Your instructor tells you that the recent exam had a mean of 80 points and a standard deviation of 2.3. Interpret the standard deviation value in everyday language.1 pointThe maximum score was 82.3.Most students earned an 80 on the exam.The typical score was 2.3 points away from the mean.The range of scores was 4.6.
Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.The instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores? 0.1587 0.75 0.2266 0.7734 −0.75
On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 12. The scores were normally distributed. Complete the following statements.(a) Approximately 95% of the students scored between and .(b) Approximately of the students scored between 13 and 85.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.