Solved on Sep 27, 2023

Find the percentile for the data value $125$ in the given set: $119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116$ .

STEP 1

Assumptions1. The data set is119,131,123,117,125,127,117,115,122,119,123,133,115,119,121,116. The data value for which we need to find the percentile is125

STEP 2

First, we need to sort the data set in ascending order.

STEP 3

Sort the data set.
$\text{Sorted data set }115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133$

STEP 4

Next, we need to find the rank of the data value125 in the sorted data set. The rank is the position of the data value in the sorted data set.

STEP 5

Find the rank of125 in the sorted data set.
$\text{Rank of125 }13$

STEP 6

Now, we can calculate the percentile of the data value using the formula $\text{Percentile} = \left(\frac{\text{Rank of the data value}}{\text{Total number of data values}}\right) \times100$

STEP 7

Plug in the values for the rank of the data value and the total number of data values to calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100$

STEP 8

Calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100 =81.25$ The percentile of the data value125 is81.25. Looking at the options, the closest one is85 (Option B).

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Find the percentile for the data value $125$ in the given set: $119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116$ .

STEP 1

Assumptions1. The data set is119,131,123,117,125,127,117,115,122,119,123,133,115,119,121,116. The data value for which we need to find the percentile is125

STEP 2

First, we need to sort the data set in ascending order.

STEP 3

Sort the data set.
$\text{Sorted data set }115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133$

STEP 4

Next, we need to find the rank of the data value125 in the sorted data set. The rank is the position of the data value in the sorted data set.

STEP 5

Find the rank of125 in the sorted data set.
$\text{Rank of125 }13$

STEP 6

Now, we can calculate the percentile of the data value using the formula $\text{Percentile} = \left(\frac{\text{Rank of the data value}}{\text{Total number of data values}}\right) \times100$

STEP 7

Plug in the values for the rank of the data value and the total number of data values to calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100$

STEP 8

Calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100 =81.25$ The percentile of the data value125 is81.25. Looking at the options, the closest one is85 (Option B).

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Find the percentile for the data value 125125125 in the given set: 119,131,123,117,125,127,117,115,122,119,123,133,115,119,121,116119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116119,131,123,117,125,127,117,115,122,119,123,133,115,119,121,116.

STEP 1

Assumptions1. The data set is119,131,123,117,125,127,117,115,122,119,123,133,115,119,121,116. The data value for which we need to find the percentile is125

STEP 2

First, we need to sort the data set in ascending order.

STEP 3

Sort the data set.Sorted data set 115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133\text{Sorted data set }115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133Sorted data set 115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133

STEP 4

Next, we need to find the rank of the data value125 in the sorted data set. The rank is the position of the data value in the sorted data set.

STEP 5

Find the rank of125 in the sorted data set.Rank of125 13\text{Rank of125 }13Rank of125 13

STEP 6

STEP 7

Plug in the values for the rank of the data value and the total number of data values to calculate the percentile.Percentile=(1316)×100\text{Percentile} = \left(\frac{13}{16}\right) \times100Percentile=(1613​)×100

STEP 8

Calculate the percentile.Percentile=(1316)×100=81.25\text{Percentile} = \left(\frac{13}{16}\right) \times100 =81.25Percentile=(1613​)×100=81.25The percentile of the data value125 is81.25. Looking at the options, the closest one is85 (Option B).

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the percentile for the data value $125$ in the given set: $119, 131, 123, 117, 125, 127, 117, 115, 122, 119, 123, 133, 115, 119, 121, 116$ .

Sort the data set.
$\text{Sorted data set }115,115,116,117,117,119,119,119,121,122,123,123,125,127,131,133$

Find the rank of125 in the sorted data set.
$\text{Rank of125 }13$

Plug in the values for the rank of the data value and the total number of data values to calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100$

Calculate the percentile.
$\text{Percentile} = \left(\frac{13}{16}\right) \times100 =81.25$ The percentile of the data value125 is81.25. Looking at the options, the closest one is85 (Option B).