Question

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays.

19 29 27 22 15 34 48 33 24 25 38 40 50 17 39 31 42 15 37 47 24 35 44 50 48 29 15 30 8 47 39 31

(a) Find the mean, midrange, geometric mean, and 25 percent trimmed mean. (Round your answers to 2 decimal places.)

Mean - ?

Midrange - ?

Geometric mean - ?

Trimmed mean - ?

(b) Do these measures of center agree?

Yes

No

Answer 1

a)

Let we have to arrange all the data in ascending order i.e increasing order and following are the formula to calculate the given terms,

Mean =

Midrange = (Maximum + Minimum)/2

Geometric Mean =

Here n= 32

25% of 32 = 0.25*32 = 8

To calculate 25% trimmed mean neglect bottom 8 and Top 8 values and then calculate mean using usual formula.

All this measures are calculated using R are given below and rounded to two decimals.

Therefore

Mean = 32.25

Midrange = 29

Geometric Mean = 29.76

25% Trimmed Mean = 32.56

b)

Ans - No

All this measures are not measure of centre because Midrange is the measure of dispersion.