Question

Which statement is false for the set of data?

number of nights stayed by hotel guest: 1 3 2 1 1 2 1 4 1 2 2 1

A. The range is greater than the mean, median, and mode.

B. The median is greater than the mode.

C. The mean is greater than the median.

D. The mode is greater than the range.

Answer 1

Do you want to work with me to find the solutions?

Answer 2

sure

Answer 3

Good. The firststep is to put the 12 data values in order from the lowest value to the highest value. Can you please post your result?

Answer 4

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4

Answer 5

Great, your ordering of the data is correct.
To find the mean you need to get the total of the 12 values and divide the total by 12. Can you do that?

Answer 6

\[1+1+1+1+1+1+2+2+2+2+3+4=?\]

Answer 7

sorry i was doing something. and lol 21

Answer 8

np. Now divide 21 by 12 to find the mean value.

Answer 9

it turns out to be 1.75

Answer 10

Correct! Now to find the median or middle value in the distribution. There is an even number of data values, so there is no value in the middle. In this case we find the arithmetic mean of the values on either side of the middle.
\[median=\frac{1+2}{2}=?\]

Answer 11

@hi8944 Are you there?