george recorded the temperature of a liquid during science class. recorded temperatures (°c):37,37,42,42,42…

george recorded the temperature of a liquid during science class. recorded temperatures (°c):37,37,42,42,42. which measure of center best summarizes the temperatures and what is the value of this chosen measure? move a word and a value to complete the sentences. the best measure of center for this data is the ______. the value of this measure of center is ______. mean median 37 39.5 40 42

george recorded the temperature of a liquid during science class. recorded temperatures (°c):37,37,42,42,42. which measure of center best summarizes the temperatures and what is the value of this chosen measure? move a word and a value to complete the sentences. the best measure of center for this data is the ______. the value of this measure of center is ______. mean median 37 39.5 40 42

Answer

Explanation:

Step1: Arrange data in order

37, 37, 42, 42, 42

Step2: Calculate mean

Mean = $\frac{37 + 37+42+42+42}{5}=\frac{200}{5}=40$

Step3: Calculate median

Since there are 5 data - points (odd number), the median is the middle - value. So the median is 42.

Step4: Analyze mode

The mode is the most frequently occurring value, which is 42. The data has a cluster of 42s and two 37s. The mean is affected by the relatively lower 37s. The mode and median are both 42, and since the data has a mode and the distribution is not symmetric (due to the cluster of 42s), the mode or median is a better measure of center. Here we choose the mode (as it is one of the options).

Answer:

The best measure of center for this data is the mode. The value of this measure of center is 42.