Question

The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to calculate how far apart the upper and lower quartiles of the week's daily temperatures were?

mode



mean absolute deviation



interquartile range



mean

Answer 1

The IQR or interquartile range is the difference between Q1 and Q3, also know as the upper and lower quartiles.

Answer 2

Explanation:

Given that the temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52.

When we arrange these in ascending order 50th percentile is the median, while 25th percentile is the I quartile and 75th percentile the III quartile.

The difference between III quartile and I quartile=Q3-Q1

is inter quartile range.

Thus option C IQR is the right answer

Option I is wrong because mode is the one which has the highest frequency

Option B is wrong because mean absolute deviation is the sum of the absolute deviation of each entry from the mean

Option D is wrong because mean is the average of all the entries