Question

In: Statistics and Probability

The number of syntax errors in a programming assignment for 20 randomly selected students are as...

The number of syntax errors in a programming assignment for 20 randomly selected students are as follows:

21, 5, 44, 44, 22, 49, 2, 48, 17, 27, 21, 34, 24, 12, 43, 12, 30, 10, 15, 15.

a. Construct an ordered stem-and-leaf display for this data.

b. Find the sample variance, S2 , and the sample standard deviation, S, using the short-cut method.

c. Find the sample lower quartile Q1 , median Q2 and Upper-Quartile Q3 .

d. Construct a Box-plot for this data and  find the 70th-percentile and interpret it.

Solutions

Expert Solution

Solution:- Given that samples : 21,5,44,44,22,49,2,48,17,27,21,34,24,12,43,12,30,10,15,15

a.

b.

Variance :

standard deviation :

c. Lower Quartile Q1 :

Median Q2 :

Upper-Quartile Q3 :

d. Box-plot :

d. 70th percentile : 32

Average percentile : (30+34)/2 = 32

orchestra answered 1 year ago
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