I have a data set consisting of 33 whole number observations. Its five summary m

Question

I have a data set consisting of 33 whole number observations. Its five summary measures are: (20, 60, 75, 80, 125) Step 1: (2 points) What is the range of the data? Step 2: (2 points) The 25th percentile data value is: (2 points Step 3: At most how many observations are strictly less than 75? (2 point Step 4: It is possible that there is no observation equal to 75. O True O False (2 poir Step 5: At most how many observations are strictly less than 60? (2 po Step 6: It is possible that there is no observation equal to 60. O True

Explanation / Answer

Question 11

Step 1 :

Range = 125 - 20 = 105

Step 2 :

25th percentile data is 60

Step 3 :

here as median = 75

then there are at least 15 observations are less than that.

Step 4 :

No, as there are 33 (which is an odd number) are total so there should be a number which is equals to 75.

Step 5 :

Here as 60 is 25th percentile or it would be average of 8th and 9 the number so there are atlest 8 numbers less than that.

Step 6:

Yes, it is possible as it is the average of 8 th and 9 th number so it is possibile that no number is equals to 60.

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