Questions: Find the mean, median, and mode for the following data set. 38 76 22 76 99 43 (a) Find the mean. Round your answer to one decimal place, if necessary. Mean = (b) Find the median. Round your answer to one decimal place, if necessary. Median =

Find the mean, median, and mode for the following data set. 38 76 22 76 99 43 (a) Find the mean. Round your answer to one decimal place, if necessary. Mean = (b) Find the median. Round your answer to one decimal place, if necessary. Median =
Transcript text: Find the mean, median, and mode for the following data set. 38 76 22 76 99 43 (a) Find the mean. Round your answer to one decimal place, if necessary. Mean $=$ $\square$ (b) Find the median. Round your answer to one decimal place, if necessary. Median $=$ $\square$
failed

Solution

failed
failed

Solution Steps

To solve this problem, we need to calculate the mean, median, and mode of the given data set.

  1. Mean: Sum all the numbers and divide by the count of numbers.
  2. Median: Sort the numbers and find the middle value. If the count is even, average the two middle numbers.
  3. Mode: Identify the number that appears most frequently.
Step 1: Calculate the Mean

The mean is calculated by summing all the numbers in the data set and dividing by the number of elements.

Given data: \(38, 76, 22, 76, 99, 43\)

\[ \text{Mean} = \frac{38 + 76 + 22 + 76 + 99 + 43}{6} = \frac{354}{6} = 59 \]

Step 2: Calculate the Median

To find the median, first sort the data set and then find the middle value. If the number of elements is even, average the two middle numbers.

Sorted data: \(22, 38, 43, 76, 76, 99\)

Since there are 6 numbers, the median is the average of the 3rd and 4th numbers:

\[ \text{Median} = \frac{43 + 76}{2} = \frac{119}{2} = 59.5 \]

Step 3: Calculate the Mode

The mode is the number that appears most frequently in the data set.

In the given data, \(76\) appears twice, while all other numbers appear only once.

\[ \text{Mode} = 76 \]

Final Answer

  • Mean: \(\boxed{59}\)
  • Median: \(\boxed{59.5}\)
  • Mode: \(\boxed{76}\)
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Ultraviolet radiation (UV) is generated by the in the welding process. A. Visible light B. Electric arc C. Oxygen/Fuel mixture D. All of the above
failedAnswered
All of the following may pose a problem when working on rotating equipment EXCEPT: Select one: a. gloves. b. hats. c. watches. d. rings.
failedAnswered
Without writing the equation (63 x^2-252 x+36 y^2-72 y=-18) in the standard form, state whether the graph of this equation is a parabola, circle, ellipse, or hyperbola. a. hyperbola c. circle b. parabola d. ellipse
failedAnswered
Which step will keep food safe when preparing a casserole or make-ahead meal? Thaw on the counter before cooking. Make up to 5 days ahead and refrigerate until ready to use. Cook to a minimum of 165°F Cook directly from frozen:
failedAnswered
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I bought a fund advertised on the web that says it uses a secret investment strategy to get an annual return twice that of stocks, with no risk at all. Choose the correct answer below. A. The statement does not make sense because investing in stocks is low-risk to get high returns, thus getting higher returns than stocks with this secret strategy must mean the fund advertised on the web is low-risk, not no risk. B. The statement does make sense because this secret investing strategy must be a new financial planning strategy that does not incorporate the three traditional investment considerations: liquidity, risk, and return. C. The statement does not make sense because investing in stocks is high-risk to get high returns, thus getting higher returns than stocks with this secret strategy must mean the fund advertised on the web is high-risk, not no risk. D. The statement does make sense because the strategy indicates that the return is a predictable amount, thus the fund advertised on the web is a no-risk investment.