Question

The mean number of days it rained in the month of August for a 5-year period...

The mean number of days it rained in the month of August for a 5-year period at a local airport was 7 with a standard deviation of 2. The average amount of rainfall during that same month and period at that airport was 9 inches with a standard deviation of 3 inches.

Which variable has the lower relative variation?

amount of rainfall

number of days it rained

amount of rainfall but not the number of days it rained

neither

QQQQ

The following stem-and-leaf plot represents a sample of exam scores.
     
Exam Scores
      4 | 5 6 8
      5 | 3 4 5 6 9
      6 | 2 3 5 6 6 9 9
      7 | 0 1 1 3 3 4 5 5 5 7 8
      8 | 1 2 3 6 9
      9 | 3 5 7 8

The interquartile range for the examination scores is

QQQQ

The following stem-and-leaf plot represents a sample of exam scores.
     
Exam Scores
      4 | 5 6 8
      5 | 3 4 5 6 9
      6 | 2 3 5 6 6 9 9
      7 | 0 1 1 3 3 4 5 5 5 7 8
      8 | 1 2 3 6 9
      9 | 3 5 7 8

The mean absolute deviation for the examination scores is

QQQ

The following are given for a set of values:
I.    The values ranged from 40 to 95.
II.   The median value was 79.
III. 25 percent of the values are less than or equal to a value of 60.
IV. 75 percent of the values are less than or equal to 87.

From the above information, the third quartile for the data set is

Homework Answers

Answer #1

1. Relative deviation = standard deviation / mean

Relative deviation of amount of rainfall = 3/9 = 0.33

Relative deviation of number of days it rained = 2/7 = 0.285

Thus b) number of days it rained has lower relative deviation.

2. From stem and leaf plot, we see number of exam scores are 35 i.e. n= 35

Lower quartile = (n+1)/4 th number = 9th number = 62

Upper quartle = 3(n+1)/4 th number = 27th number = 81

Inter quartile range = upper quartile - lower quartile = 81-62 = 19

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