Explain all reasoning, I’m very lost. Note: For Part A. Compute the z score for

Question

Explain all reasoning, I’m very lost.
Note: For Part A. Compute the z score for 34.6 miles per gallon. The third black is a choice between the MEAN or MEDIAN. acompanying dela mresent the mes per gullon of a random sample ofl cars with a tree cylinder, 1.0 d Deteine the lower and upper Are there any outlers? Type intingers or decimals rounded to two decimal places as needed abow 0 MPG Data Type an integer or a decimal Do not round) Tyee an integer or a decimal Do not round) Type an inbeger or a decimal Do not round) Corone and nterpret te nerquartle range lOR Select the oorwtchoce bel-andinthe answer box tocomplete your ooae ype an integer or a decimal Do not round) OR The mergiatle targe»Dmpg·sthe range of the obserwations between the lower and uppehence" (d'Denemine he lover and uppe lenes Arne·ary outers? The lower tence is Type an integer or a decimal De not ound) The upper fence Type an integer or a decimal Do not round) Tyse an integer or a decimal Do not ound Use a comma to separate anaers Ciek to select your answens 0 Type here to search

Explanation / Answer

Solution-

Mean and standard deviation of the data is calculated to be 38.9 and 3.4560 respectively.

(a) Z score = (34.6-38.9)/3.456

= -1.244 As this is negative hence it must be below standard deviation.

(b) Quartiles are calculated as-

Q1 = 38.9 - 0.67449 * 3.456      ( where Z0.75= -0.67449 )

and Q2 = 38.9 - 0 * 3.456          ( where Z0.5= 0 )

and Q3 = 38.9 - 0.67449 * 3.456            ( where Z0.25= 0.67449 )

(c) Inter quartile range = Q3 - Q1

= 4.662

(d) Lower fence = 37.6 and upper fence = 48.8

Upper fence = 48.8 may be an outlier.

Thanks!

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