Question

Find the mean, lower quartile, and highest quartile of 53, 49, 52, 71, 67, 51, 63, 49, 58

Answer 1

Answer: Lower quartile=51.5, mean=58, and highest quartile=65.

Step-by-step explanation: To find the lower quartile you have to find the median of the lower half. In this case, the lower half is 49, 51, 52, and 53. Since there are two numbers, we have to find the average of them (51, 52). To find the average, add them together, which would be 103. Now, divide 103 by 2 which would be 51.5 (the lower quartile). To find the mean, add all the numbers together (464) and divide them by the number of numbers that are on there (8). So, 464/8 is 58. To find the highest quartile, find the median of the upper half. In this case, we have find the average of 63 and 67. So, add 63 and 67 which would be 130, and divide by 2 (which would be 65). Hope this helped and have a great day!

Answer 2

the mean is 61.44, the lower quartile is 51, and the upper quartile is 65

Explanation:

we need to first sort the data in ascending order:

49, 49, 51, 52, 53, 58, 63, 67, 71

The mean is the average of all the numbers in the data set:

Mean = (49 + 49 + 51 + 52 + 53 + 58 + 63 + 67 + 71) / 9 = 553 / 9 = 61.44 (rounded to two decimal places)

To find the lower quartile, we need to find the median of the lower half of the data set. Since there are an odd number of values in the data set, we exclude the median value from the lower half. The lower half of the data set is:

49, 49, 51, 52, 53

The median of the lower half is the middle value, which is 51. Therefore, the lower quartile is 51.

To find the upper quartile, we need to find the median of the upper half of the data set. Again, we exclude the median value from the upper half since there are an odd number of values. The upper half of the data set is:

58, 63, 67, 71

The median of the upper half is the middle value, which is (63 + 67) / 2 = 65. Therefore, the upper quartile is 65.