QuestionCalculate the mean, median, and mode of these depths: 4.1, 4.1, 4.0, 4.1, 3.9, 4.4, 3.9, 4.3, 4.0, 4.2, 4.0, 3.8.
Studdy Solution
STEP 1
Assumptions1. The data provided are the depths of the connector pieces measured in cm. . The data set is
STEP 2
To find the mean (average), we add up all the values and then divide by the number of values. The formula for the mean is
STEP 3
Now, add up all the values in the data set.
STEP 4
Calculate the sum of all values.
STEP 5
Now, divide the sum of all values by the number of values (12) to find the mean.
STEP 6
Calculate the mean.
STEP 7
To find the median, we first need to sort the data in ascending order.
STEP 8
The median is the middle value of a data set. Since we have an even number of values (12), the median is the average of the two middle values. These are the6th and7th values in our sorted data.
STEP 9
Plug in the6th and7th values to calculate the median.
STEP 10
Calculate the median.
STEP 11
The mode is the value that appears most frequently in a data set. Looking at our sorted data, we can see that the values4.0 and4. appear three times each.
So, the mean is4.15 cm, the median is4.05 cm, and the modes are4.0 cm and4. cm.
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