Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. a local doctor’s office logged the number of patients seen in one day by the doctor for ten days. find the mean, median, range, and midrange of the number of patients seen in ten days. 27 31 27 35 35 25 28 35 33 24 calculate the mean, median, range, and midrange of the number of patients seen in ten days. ○ mean, 29.5; median, 11; range, 29.5; midrange, 30 ○ mean, 29.5; median, 30; range, 29.5; midrange, 11 ○ mean, 11; median, 29.5; range, 30; midrange, 29.5 ○ mean, 30; median, 29.5; range, 11; midrange, 29.5

Explanation:

Step1: Sort the data

First, we sort the data set: \(24, 25, 27, 27, 28, 31, 33, 35, 35, 35\) (Wait, original data has 10 numbers? Wait, the given data is 27, 31, 27, 35, 35, 25, 28, 35, 33, 24 – that's 10 numbers. Let's sort them: \(24, 25, 27, 27, 28, 31, 33, 35, 35, 35\)? Wait, no, 24,25,27,27,28,31,33,35,35,35? Wait, 24,25,27,27,28,31,33,35,35,35 – that's 10 numbers? Wait, 24,25,27,27,28,31,33,35,35,35: sum is 24+25=49, +27=76, +27=103, +28=131, +31=162, +33=195, +35=230, +35=265, +35=300. So sum is 300. Mean is \(300/10 = 30\)? Wait, no, wait the options have mean 29.5 or 30 or 11. Wait, maybe I miscalculated. Let's recalculate the sum: 24 +25=49; +27=76; +27=103; +28=131; +31=162; +33=195; +35=230; +35=265; +35=300. Wait, 24+25=49, +27=76, +27=103, +28=131, +31=162, +33=195, +35=230, +35=265, +35=300. So 10 numbers, sum 300, mean 30? But the options have mean 29.5. Wait, maybe I missed a number? Wait the original data: 27, 31, 27, 35, 35, 25, 28, 35, 33, 24 – that's 10 numbers. Wait 24,25,27,27,28,31,33,35,35,35. Let's sum again: 24+25=49; +27=76; +27=103; +28=131; +31=162; +33=195; +35=230; +35=265; +35=300. So mean is 300/10=30. Now median: for 10 numbers, median is average of 5th and 6th terms. Sorted data: 24,25,27,27,28,31,33,35,35,35. 5th term is 28, 6th term is 31. Median is (28+31)/2=29.5. Range: max - min =35-24=11. Midrange: (max + min)/2=(35+24)/2=29.5. So let's check the options:

Option 4: Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5. That matches.

Wait, but let's recheck:

Mean: sum all numbers: 24+25=49, +27=76, +27=103, +28=131, +31=162, +33=195, +35=230, +35=265, +35=300. 300/10=30. Correct.

Median: 10 numbers, so average of 5th and 6th. Sorted: positions 1:24, 2:25, 3:27, 4:27, 5:28, 6:31, 7:33, 8:35, 9:35, 10:35. So (28+31)/2=29.5. Correct.

Range: 35-24=11. Correct.

Midrange: (35+24)/2=29.5. Correct.

So the correct option is the fourth one: Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5.

Answer:

Mean, 30; Median, 29.5; Range, 11; Midrange, 29.5 (the fourth option in the list)