Question

1. Consider the following POPULATION of quiz scores {18, 23, 7, 20, 15, 12, 6, 23, 17, 16 }

1. Compute the following: the mean ,μ, the variance, σ2, the standarddeviation, σ.

2. State the mode, if one exists __________

3. ApplytheEmpiricalRuleatthe95%level.

4. What percentage of these Quiz Scores actually lie within the interval found in part c? _________________________

II. Again consider the given Quiz Scores: {18, 23, 7, 20, 15, 12, 6, 23, 17, 16 }

1. Determine Q1, the median, and Q3:

2. Draw a histogram with limits: 6-9, 10-13, 14-17, 18-21, 22-26.

Extra Credit A: Draw a box-plot for the information found in IIa.

1. Consider the following POPULATION of quiz scores {18, 23, 7, 20, 15, 12, 6, 23, 17, 16 } a. Compute the following: the mean ,u, the variance, oʻ, the standard deviation, o. b. State the mode, if one exists c. Apply the Empirical Rule at the 95% level. d. What percentage of these Quiz Scores actually lie within the interval found in part c? II. Again consider the given Quiz Scores: {18, 23, 7, 20, 15, 12, 6, 23, 17, 16 } Determine Q1, the median, and Q3: b. Draw a histogram with limits: 6-9, 10-13, 14-17, 18-21, 22-26. Extra Credit A: Draw a box-plot for the information found in IIa.

Answer 1

solution- a) Given data 18,2317,20115, 12,6123117116 +17+16 Mean 157 18 +23+ l= En 10 10 U=15.7 Standard deviation Home (2:1 =23 151 2 (18-15-7) 531.61 +86-15-752 + 10 o=5.6222 variance o2 = (5-6222) o2=31.61 terms 6) Mode: no. of repeated 23 - Mode c) Emperical Rule for as 1 +(4+ 20) [15-7 + 2x5-622) - (4.456926.944) ㅍ First Quartile Qu Q, - 10.75., Q2-16-5, Third Quartile 03 = 20.75 Boxplot b 13) Max (23) 3 (2) (2) 7Q3 Do 757 2 (1 ) B2 16.5 0 22 26 18 6 14 110.75 min (6) LINI