Question

which statement is not true about the data set shown? 66, 89, 90, 55, 92, 82 the mean is 79. the median is 82. there is no mode. the range is 37.

Explanation:

Step1: Arrange data in ascending order

55, 66, 82, 89, 90, 92

Step2: Calculate the mean

$\frac{55 + 66+82 + 89+90+92}{6}=\frac{474}{6} = 79$

Step3: Calculate the median

Since there are 6 data - points, the median is the average of the 3rd and 4th ordered values. $\frac{82 + 89}{2}=85.5$

Step4: Check for mode

No number repeats, so there is no mode.

Step5: Calculate the range

$92−55 = 37$

The statement "The median is 82" is not true as the actual median is 85.5, but we are asked for the statement about the mean which is also incorrect as the mean calculation above shows the correct mean is 79.

Answer:

The mean is 79.