PLEASE SEE BELOW QUESTION You have surveyed a group of twent

PLEASE SEE BELOW.

QUESTION You have surveyed a group of twenty peers to inquire how many cell phones they owned in their life. The results of the survey are summarized in the histogram 10 Number of phones What was the median number of cells? a. 5 b. 5.5 OC.6 d. 7

Solution

(a) From the histogram,

No. of Phones 3 4 5 6 7 8 9 10

Frequency 1 5 4 4 3 1 1 1

LCF 1 6 10 14 17 18 19 20

Here N = Total frequency = 20

Identifiy the LCF which is just greater than (N+1/2)th rank = (20+1 / 2)th rank = 10.5th rank, the corresponding xi is median

Therefore Median = 6

Or From the freqency table, the given data is 3,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,8,9,10

Median = average of two middle values Since N = 20 even

   = (5+6) /2 = 5.5 cell phones are used they owned in their life. But 5.5 cell phones is meaning less. Nearest integer = 6 = median.

(b) From the dot plot

Car Black Red white siver green Blue

Frequency 9 5 4 5 5 2

Mode = Highest frequence corresponding Item or value

   = Black color car. So black color car is a modal car.