Question

Name Score Name Score STATS EXPRESS Daily Graded Problem LOCK 2.4 The dot plot represents the mean exercise hours per week for n = 360 students 30 10 illi 35 1. Find and interpret the 90th percentile 2. In Statkey go to One Quantitative Variable and bring up the Student Survey (TV Hours) Complete the 5 number summary Min QI MEDIAN Q3 Max 3. Compute the IQR 4. Calculate the lower outlier fence. 5. Calculate the upper outlier fence

Answer 1

Answer1:

90% of 360 = 324

Number of dots at 20 = 10, and to the right of 20 = 11

The required datapoint is the one left of '20' where there is nonzero number of dots.

The 90th percentile = 18

Interpretation:

Approximately 90% of the datapoints are less than or equal to 18 i.e. 90% of people excercise for less than or equal to 18 hours.

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Answer2:

Student Survey (TV Hours) Show Data Table Edit Data Upload File Change Column(s) Dotplot Histogram Box plot Summary Statistics Statistic Value Student Survey (TV Hours) Sample Size 361 70 Mean 6.504 Standard Deviation 5.584 60 Minimum 0 Q1 3.000 Median 5.000 50 Q3 9.000 Maximum 40 40 30 20 10 **••....... ....... 0 5 10 15 20 25 30 35 40

Answers:

2)

Min	Q1	Median	Q3	Max
0	3	5	9	40

3)

IQR = Q3 - Q1 = 9-3 = 6

4)

Lower Outlier Fence Q1 – 1.5 * IQR = 3 - 1.5+ 9 = -6

5)

Upper Outlier fence = Q3 + 1.5 * IQR = 9+1.5*6 = 18