Question

Consider the following data. −1, 12, −10, −6, −6, −2, 4, −7

Step 1 of 3: Determine the mean of the given data.

Step 2 of 3: Determine the median of the given data.

Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Separate multiple modes with commas, if necessary.

Answer 1

Step 1 of 3: Determine the mean of the given data.

Sum of observations = -1 + 12 - 10 - 6 - 6 - 2 - 7 + 4 = -16

Number of observations = 8

Mean = -16/8

Mean = -2

Step 2 of 3: Determine the median of the given data.

Set in ascending order

-10, -7, -6, -6, -2, -1, 4, 10

n = 8 (even )

Median = average of (n/2) and (n/2)+1 observations

Median = average of (8/2) and (8/2)+1 observations

Median = average of 4th and 5th observations

Median = (-6-2)/2 = -8/2

Median = -4

Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Number having maximum frequency ( here, -6 has 2 )

Mode = -6