The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 1414; 1717; 1717; 2020; 2020; 2121; 2323; 2424; 2525; 2525; 2525; 2626; 2626; 2727; 2727; 2727; 2828; 2929; 2929; 3232; 3333; 3333; 3434; 3535; 3737; 3939; 4141 Calculate the mean. Round your answer to two decimal places. Identify the median. Enter the exact answer. Identify the mode.
The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:
1414; 1717; 1717; 2020; 2020; 2121; 2323; 2424; 2525; 2525; 2525; 2626; 2626; 2727; 2727; 2727; 2828; 2929; 2929; 3232; 3333; 3333; 3434; 3535; 3737; 3939; 4141
- Calculate the mean.
Round your answer to two decimal places.
- Identify the median.
Enter the exact answer.
- Identify the
mode .
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;62;4;6 or x+1;x−1�+1;�−1). The order of the list does not matter.
Sol:-
To calculate the mean, we add up all the lengths and divide by the total number of boats:
Mean = (1414 + 1717 + 1717 + 2020 + 2020 + 2121 + 2323 + 2424 + 2525 + 2525 + 2525 + 2626 + 2626 + 2727 + 2727 + 2727 + 2828 + 2929 + 2929 + 3232 + 3333 + 3333 + 3434 + 3535 + 3737 + 3939 + 4141) / 27 Mean = 81668 / 27 Mean ≈ 3021.04
Therefore, the mean length of the boats is approximately 3021.04.
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