Math Problem Statement
Calculate the mean and sample standard deviation of the data shown. Round your answers to two decimal places
x 25 29 24 16 12 28 20 Sample standard deviation =
Solution
import numpy as np
Data provided
data = np.array([25, 29, 24, 16, 12, 28, 20])
Calculating mean
mean = np.mean(data)
Calculating sample standard deviation
sample_std_dev = np.std(data, ddof=1)
mean, round(sample_std_dev, 2)(22.0, 6.3)(22.0, 6.3)successThe mean of the data is , and the sample standard deviation is .
Would you like a detailed breakdown of the calculations or have any other questions? Here are some related questions for further exploration:
- How is the sample standard deviation formula different from the population standard deviation?
- Can you explain how to calculate variance from this data?
- What is the median of this data set?
- Are there any outliers in this data set? How would you identify them?
- How would adding another data point (e.g., 30) affect the mean and standard deviation?
Tip: Always ensure that you know whether to use sample or population formulas, as they differ slightly in terms of divisor adjustments!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Formulas
Mean formula: mean = (Σx) / n
Sample standard deviation formula: s = √[(Σ(x - mean)^2) / (n - 1)]
Theorems
None required
Suitable Grade Level
Grades 9-12
Related Recommendation
Statistical Analysis of Data Set: Find Mean, Median, Range, and Standard Deviation
Calculate Mean, Median, and Sample Standard Deviation for Dataset [14.8, 15.7, 25.6, 22.1, 12.9]
How to Calculate Sample Standard Deviation: Step-by-Step Solution
How to Calculate Median, Mean, Mode, Range, and Sample Standard Deviation
Calculating Sample Mean and Sample Standard Deviation for Data Set