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For the given data set: 250, 200, 195, 175, 170, 170, 145, 165, 165, and 50, calculate the following:

a) Mean
b) Median
c) Mode
d) Midrange

A) a) 169.5, b) 170, c) 170, d) 210
B) a) 172, b) 175, c) 165, d) 210
C) a) 170, b) 170, c) 170, d) 210
D) a) 175, b) 165, c) 170, d) 210
E) a) 210, b) 170, c) 175, d) 170

Answer :

Final answer:

The Statistics mean is 168.5, the median is 167.5, the modes are 170 and 165, and the midrange is 150.

Explanation:

This question involves calculations of mean, median, mode, and midrange of the given data set: 250, 200, 195, 175, 170, 170, 145, 165, 165, and 50. Here's how you can calculate each:

  1. Mean (Average): Add all the numbers and then divide by the total number of values. (250+200+195+175+170+170+145+165+165+50)/10 = 1685/10 = 168.5
  2. Median (Middle value): Arrange the numbers from smallest to largest and find the middle value. If there's an even number of values, the median is the average of the two middle numbers. In this case, the middle numbers are 170 and 165, so the median is (170+165)/2 = 167.5
  3. Mode (Most frequent): The number that appears the most often. In this data set, 170 and 165 both appear twice, so there are two modes: 170 and 165.
  4. Midrange (Average of highest and lowest value): Add the highest and lowest numbers and then divide by 2. Here, (250+50)/2 gives 150.

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