the data set is given - 15 -8 - 21 -12 -10 - 32 -24 -15 which statement is false
A. The range is 24.
B. The mode is-15.
C. The median is -15
D. The mean is -17
D. The mean is -17 is false.
To find the mean (average), we add up all the numbers and divide by the total number of numbers:
(-15) + (-8) + (-21) + (-12) + (-10) + (32) + (-24) + (-15) = (-73)
There are 8 numbers in the data set, so:
(-73) รท 8 = -9.125
Therefore, the mean is -9.125, not -17.
To determine which statement is false, let's analyze each statement one-by-one:
A. The range is 24.
To find the range, we subtract the minimum value from the maximum value.
Maximum value: 32
Minimum value: -24
Range: 32 - (-24) = 56
Therefore, statement A is false.
B. The mode is -15.
The mode is the value that appears most frequently in a data set.
In the given data set, the value -15 appears twice, which is more frequently than any other value.
Therefore, statement B is true.
C. The median is -15.
The median is the middle value in a data set when the values are arranged in ascending or descending order.
Arranging the given data set in ascending order: -24, -21, -15, -12, -10, -8, 15, 32.
As there is an even number of values, we take the average of the middle two values: -12 and -10.
Median: (-12 + -10) / 2 = -11
Therefore, statement C is false.
D. The mean is -17.
To find the mean, we sum up all the values and divide by the number of values.
Sum of values: -15 + (-8) + (-21) + (-12) + (-10) + 32 + (-24) + (-15) = -113
Number of values: 8
Mean: -113 / 8 = -14.125
Therefore, statement D is false.
To summarize, the false statement is:
C. The median is -15.