The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, 9, 17, 14, 17, 18, 19 which box plot represents this data?

The information given shows that it has a mean of 11.93, a median of 10 and an interquartile range of 9. The box plot would most likely illustrate these values and that box plot would then be the appropriate one too choose.Thank you for your question. Please don't hesitate to ask in Brainly your queries.

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tardymanchester tardymanchester · Answer 2 · 2019-04-18T06:52:39+02:00

Answer:

Refer the attached figure.

Step-by-step explanation:

Given : The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks.

{ 19, 6, 10, 7, 9, 5, 8, 9, 12, 9, 17, 14, 17, 18, 19 }

To find : Box plot of the data set?

Solution :

Step 1- Arranging the data from lowest to highest,

{5,6,7,8,9,9,9,10,12,14,17,17,18,19,19}

Step 2 - Find the median of the data

As the data is odd numbers so the median is [tex]\frac{n+1}{2}[/tex] th term.

[tex]\frac{n+1}{2}=\frac{15+1}{2}=8th[/tex] term.

8th term is 10 ⇒ Median =10

Step 3 - To find Upper quartile and lower quartile

Lower quartile data set is the median of the upper terms from median

{5,6,7,8,9,9,9}

Median of the set is 8

∴ [tex]Q_1=8[/tex]

Upper quartile data set is the median of the lower terms from median

{12,14,17,17,18,19,19}

Median of the set is 17

∴ [tex]Q_3=17[/tex]

Now, the box plot is created with the data above.

Refer the attached figure below.