Question

please open the picture to see full question. need this answer ASAP

Elementary Statistics Departmental Fina Problem #2z (12 points) The following data set represents the ages of 30 employees of a software company Elementary Statistics Desn 23 25 21 25 21 20 32 33 32 34 19 31 19 29 18 41 45 Problem #3(12 points 29 38 38 52 28 38 26 37 53 Suppose vou play a gam 36 36 Obtain the five-number summary for the data. (The five-number summary is: Minimum, Q1, Q2. Qs, and Maximum) the number of dets ou (4 points vou win 53 t vou m Let X be the or proit comeg b. Use the interquartile range (IQR) rule to identify any possible outlier (s) in the data. (1 point) c. Construct a box-plot using the five number summary. Show outliers, if any. (4 points d. Complete the following sentence: Employees aged company employees. (1 point) years and older make up three quarters (75%) of the software Circle the correct choice and fill in the blank: The (median/mean) better describes the center of this data set because the shape of this frequency distribution is e. (2 points)

Answer 1

The five number summary :

Minimum=18(By sorting data in ascending order, the lowest value is minimum value)

Q1=25.

[(n+1)/4]th term=(31/4) th term=7.75th term i. e. 8th term

Median=31.5

(n+1)/2th term=15.5 th term=Avg of 31 and 32=31.5

Q3=37

3(n+1)/4 th term=23.25th term, i. e. 23rd term=37

Maximum =63.

b)Imterquartile Range (IQR)=Q3-Q1=37-25=12

Values below Q1-1.5IQR{ {25-(1.5*12)}=7}and values above Q3+1.5IQR {{37+1.5*12}=55}are called outliers

Here, 63 is an outlier.

c) ​​​​​​

65 62.5 60 57.5 55 52.5 50 47.5 45 42.5 40 37.5 35 32.5 30 27.5- 25 22.5 20 17.5

The dot shown is an outlier.

d) Employees aged 25 and older make up three quarters (75%) of the software company.

e) The median better describes the center of this data set because the shape of this frequency distribution is positively skewed.