Question

Consider the following observations from a population:

93	240	78	143	143	76	234	158	78

Click here for the Excel Data File

a. Calculate the mean and median. (Round "mean" to 2 decimal places.)

b. Select the mode. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)

• 78?
• 93?
• 143?
• 76?
• 240?
• 158?
• 234?

Answer 1

Total no of observations = n = 9

a)Mean= sum of all observations / Total no of observation

Mean = (93+240+78+143+143+76+234+158+78) / 9

Mean = 138

Median

As n= 9 which is odd

Hence median = value of ( ( n+1)/ 2) th observation

First arrange all the observations in ascending order

76,78,78,93,143,143,158,234,240

Median = value of (( 9+1)/2 ) i.e 5 th observation

Median = 143

b) mode is the most frequent observation

In the given information numbers 78 and 143 repeated two times..

Hence the two modes exist and they are 78 and 143

Mode= 78 and 143