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StatisticsQ&A LibraryFind the range, sample standard deviation and inter-quartile range (IQR) of the following data set.46485455616767717580range = (Please enter an exact answer.) standard deviation (ss) = (Round to one decimal place.)IQR = (Please enter an exact answer.)A new number, 250, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set.range = (Please enter an exact answer.)standard deviation = (Round to one decimal place.)IQR = (Please enter an exact answer.)Which measure of spread is less affected by the addition of the extreme observation?IQRstandard deviationRangeQuestion

Asked Nov 14, 2019

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Find the range, sample standard deviation and inter-quartile range (IQR) of the following data set.

46 | 48 | 54 | 55 | 61 | 67 | 67 | 71 | 75 | 80 |

range = (Please enter an exact answer.)

standard deviation (ss) = (Round to one decimal place.)

IQR = (Please enter an exact answer.)

A new number, 250, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set.

range = (Please enter an exact answer.)

standard deviation = (Round to one decimal place.)

IQR = (Please enter an exact answer.)

Which measure of spread is less affected by the addition of the extreme observation?

- IQR
- standard deviation
- Range

Step 1

**Range, sample standard deviation, and inter-quartile range:**

The formula to find range, sample standard deviation, and inter-quartile range are as follows:

Step 2

**Preliminary calculation:**

Step-by-step procedure to obtain the values of maximum, minimum, sample standard deviation, Q_{1} and Q_{3} using Ti-83 calculator:

- Click on
**STAT**. - In
**Edit**, select**1: Edit...** - Enter the given data in
**L**_{1}. - Click on
- In
**CALC,**select**1: 1–Var Stats.** - Click on
**2nd****> 1**. - Click on

The output obtained is as follows:

Step 3

**Computation of Range, sample standard deviation, and IQR:**

From the output, the sample standard deviation is obtained as **Sx=11.4911** (rounded to four decimal places).

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