Question

Please answer it is not for a grade it is for a old packet I found

Answer 1

Explanation:

Mean is the average of all of the numbers. Median is the middle number, when in order. Mode is the most common number.

8. Mean = (5+6+4+2+2+0+9+9+12+4+2) / 11 = 55/11 = 5

9. 16 23 22 22 23 23 18 Mode = 22 (middle number)

10. 77 82 82 82 88 90 90 95 Mode = 82

Answer 2

(8) B. 5

(9) A. 23

(10) B. 85

Explanation:

(8) The mean is the average of all the data and we calculate it by dividing the sum of the data points by the total number of data points.

Since there are 11 numbers in this first problem, we have:

`Mean=(5+6+4+2+2+0+9+9+12+4+2)/(11)\\Mean= (55)/(11)\\ Mean =5`

(9) The mode is the number(s) that occurs most frequently.

23 is the most frequent data point in this data set so it is the mode.

(10) The median is the middle number of the data points. We find it by first arranging the data from least to greatest and then finding the middle value.

If we arrange the data from least to greatest, we get

77, 82, 82, 82, 88, 90, 90, 95.

If we were to keep crossing out the data until we get to middle value, we see that both 82 and 88 lie in the middle (there are exactly 3 values to left and right of both of these values).

Thus, we find the median by averaging these values:

`Median=(82+88)/(2)\\ Median=(170)/(2)\\ Median=85`