Math Problem Statement

Calculate the mean and standard deviation for the data set. Round to the nearest hundredth.

Weights, in ounces, of nine books:

{24, 23, 19, 17, 12, 14, 14, 28, 23}

Enter the correct values in the boxes.

Show Hints

mean: 

standard deviation: ​​

789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals

Check Answers

Solution

Let's calculate the mean and standard deviation for the given data set:

Weights of the books: {24, 23, 19, 17, 12, 14, 14, 28, 23}

Step 1: Calculate the mean

The formula for the mean is:

Mean=Sum of all valuesNumber of values\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}

Mean=24+23+19+17+12+14+14+28+239\text{Mean} = \frac{24 + 23 + 19 + 17 + 12 + 14 + 14 + 28 + 23}{9}

Let's calculate it.

Step 2: Calculate the standard deviation

The formula for standard deviation (for a sample) is:

s=(xiμ)2n1s = \sqrt{\frac{\sum (x_i - \mu)^2}{n - 1}}

Where:

  • xix_i = individual data points
  • μ\mu = mean of the data set
  • nn = number of data points

Now let's calculate the values.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Standard Deviation

Formulas

Mean = (Sum of all values) / (Number of values)
Standard Deviation (s) = sqrt((Σ(xi - μ)^2) / (n - 1))

Theorems

Properties of the Mean
Properties of Standard Deviation

Suitable Grade Level

Grades 9-11