The following data gives the weights in kg of a random sample of 44 students in a physics class. The data is categorized by weight and gender. Use an appropriate measure of central tendency to compare the weights, justifying your choice.

Weights and Gender:
123F, 195M, 138M, 115F, 179M, 119F, 148F, 147F, 180M, 146F, 179M, 189M, 175M, 108F, 193M, 114F, 179M, 147M, 108F, 128F, 164F, 174M, 128F, 159M, 193M, 204M, 125F, 133F, 115F, 168M, 123F, 183M, 116F, 182M, 174M, 102F, 110F, 132M, 99F, 161M, 162M, 155F, 202M, 123F

Tasks:
a) Compute the Mean, Median, and Standard Deviation for:
i. Weight of all the students
ii. The male students only
iii. The female students only

b) Of the Mean and Median, which measure provides more information about the data set, and why?

c) Write a brief report comparing the three measures for all students, male only, and female only.

To compare the weights of the students in the physics class, you can use the mean, median, and standard deviation as measures of central tendency.

Explanation:

To compare the weights of the students in the physics class, we can use the mean, median, and standard deviation as measures of central tendency. Here are the steps to compute these measures: Weight of all the students:
- Calculate the mean by summing up all the weights and dividing by the total number of students.
- Calculate the median by arranging the weights in ascending order and finding the middle value.
- Calculate the standard deviation using the formula: square root of [(sum of squared deviations from the mean) divided by (total number of students - 1)].ii. Weight of male students only:- Collect the weights of male students and follow the same steps as above to compute mean, median, and standard deviation.iii. Weight of female students only:
- Collect the weights of female students and follow the same steps as above to compute mean, median, and standard deviation.

Learn more about Measures of Central Tendency here:

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