This histogram shows the distribution of exam scores for a clss of 33 su 12 Whic

Question

This histogram shows the distribution of exam scores for a clss of 33 su 12 Which of the following is the most reasoriable esbmate ofthe QR Ginterquartble range? 050 025 075 O 0 to 100 n a study of job satisfaction we surveyed 30 faculty members at a local satisftedr and 10-"totally salisted The hestogam shows the distribution of ficuty university Faculity rated their job satsfaction on a scale of responsas 10 with 1at Job Satisfaction Which is the most appropriate description of how to determine a typical taculty response for thi st O Facuity tht O The PIC COLLAGE

Explanation / Answer

Answer to the question is below:

1.

Q1 = 9 people
Q2 = 8 people
Q3 = 8 people
Q4 = 8 people

8th point will be in Q1 and 8*3 = 24th points will be in Q3. So, take a look at the frequnecy table
and look where it will fall. Q1 will fall in 2+2+4 or the 60 point mark. Similarly Q3 will fall in 85

IQR = Q3 - Q1 = 85 - 60 = 25

2.

There is no hint of wether higher job satisfaction in the histogram are the ones with
more salary. So 1 is out

The median is 8. Look where the 50th percentile or the 15th data point will come.
It at point 8 job satisfaction. So, 2 is right

This is wrong. The median is not 5, it's 8

Even if you that you will have 8 as median. And mean is the wrong. A 'typical' response will be mode/median. In this case both are 8. This option is therefore wrong. Also, they can't be exactly called outliers

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