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Measure of Central Tendency: Transforming Data

Related Topics

Wize University Statistics Textbook > Exploratory Data Analysis

Measures of Central Tendency

5 Activities

Wize University Statistics Textbook > Exploratory Data Analysis

Measure of Variability

5 Activities

You multiply all values in a data set by 55 and then add four. The resulting mean is 34 and the resulting standard deviation is 25.
Determine the mean and standard deviation of the original data.



More Measures of Central Tendency Questions:
Practice: Median
Practice: Median
(i) Where is the median of 50 numbers?
(ii) Where is the median of 51 numbers?
Statistics: Data transformation
You multiply all values in a data set by 55 and then add four. The resulting mean is 34 and the resulting standard deviation is 25.
Determine the mean and standard deviation of the original data.
Measures of Central Tendency
In the university bookstore, there are 25 chemistry books with a mean number of pages equaling 150, and 30 physics books with a mean number of pages equaling 220. Overall, what is the mean number of pages of all of the chemistry and physics books?
Measures of Central Tendency
We measure the height of 10 basketball players:
The mean is 195cm
The median is 195cm
Measures of Central Tendency
In the university bookstore, there are 25 chemistry books with a mean number of pages equaling 150, and 30 physics books with a mean number of pages equaling 220. Overall, what is the mean number of pages of all of the chemistry and physics books?
Transforming Data: Central tendency and variability
Practice: Transforming Data
You multiply all values in a data set by 55 and then add four. The resulting mean is 34 and the resulting standard deviation is 25.
Determine the mean and standard deviation of the original data.
Measures of central tendency
In a data set with six numbers, the smallest number and largest numbers are removed. Which of the following will not change?
i) Mean
ii) Median
Measures of Central Tendency
The mean weight of five cats is 20 lbs. We take away one that at weights 28 lbs. The mean age of the remaining cats is:
Measures of Central Tendency
In a group of 5 students, each spends on average 4 hours on their phone.
In another group of 9 students, each spends on average 3 hours on their phone.
In yet another group of 7 students, each spends on average 7 hours on their phone.
Measures of Central Tendency
The average of a sample of 12 numbers is 24. It turns out that some numbers were incorrectly entered. A number with value 7 was incorrectly entered as a 17 and a number with value 12 was incorrectly entered as an 11. Find the correct sample mean.
Statistics: Definitions
One of the following statements is false. Which one is it?
Measures of Central Tendency
(i) Where is the median of 50 numbers?
(ii) Where is the median of 51 numbers?
(iii) Find the median of 1, 2, 3, 4, 5, 8, 10, 14, 19, 22, 28, 40, 60, 70 (there are 14 numbers)
Statistical errors
For the following statements, select true or false. Enter T for True, F for False. (Use capital letters: T, F)
1. The mean weight of five cats is 20 lbs. We take away one that at weights 28 lbs. The mean weight of the remaining cats is 18 lbs.
T
2. The 95% confidence interval is [$800, $1,200]. The sample mean must be $1,000.
T
More Measure of Variability Questions:
Statistics: Data transformation
You multiply all values in a data set by 55 and then add four. The resulting mean is 34 and the resulting standard deviation is 25.
Determine the mean and standard deviation of the original data.
Measure of Variability
Which of the following data sets has the largest variance?
Measures of variability
Which of the following is the standard deviation of the data set 7,9,−2,37,9,-2,3
Transforming Data: Central tendency and variability
Practice: Transforming Data
You multiply all values in a data set by 55 and then add four. The resulting mean is 34 and the resulting standard deviation is 25.
Determine the mean and standard deviation of the original data.
Measures of Variability
Calculate the interquartile range for the data set: 9, 10, 11, 14, 14, 16, 20, 30, 32, 34, 38.
Variance
Which of the following data sets has the largest standard deviation?
Measure of Variability
A bag has three red and four black balls. One ball is drawn at a time, without replacement until a black ball is drawn. Let X represent the number of balls drawn until you get a black one.
Find the standard deviation of X. Enter answer in one decimal place X.X (e.g. 2.5)
Measure of Variability
The data set is 20, 20, 30, 40, 40. Which of the following is true?
Check all that applies:
Measure of Variability
a) Find the variance and standard deviation: 7 21 28 40
b) Which of the following has a smaller variance?
a) 2, 6, 10