Question

1. The following data represent error times (in seconds) for a sample of wristwatches

120 -145 85 -261 -105 21 166 -171 305 60 7 0 0
(Positive values represent watches that are ahead of the correct time, and negative values represent watches that are behind the correct time). Find the mean, median, and mode.

Pls help it’s urgent

Answer 1

The mean of the error times is -47.23 seconds, the median is 7 seconds, and there is no mode.

Step-by-step explanation:

To find the mean, you add up all the values and divide by the total number of values. In this case, the sum of the error times is -614 seconds. There are 13 values in the data set, so the mean is -614/13 = -47.23 seconds.

To find the median, you arrange the values in increasing order and find the middle value. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values. In this case, the values in increasing order are: -261, -171, -145, -105, 0, 0, 7, 21, 60, 85, 120, 166, 305. There are 13 values, so the median is the 7th value which is 7.

The mode is the value that appears most frequently in the data set. In this case, there are no repeated values, so there is no mode.