What is the median for the given data and does 43 lie in the lower quartile:For the month of march the number of cars gievn speeding tickets was as follows: 56, 67, 43, 56, 87, 37, 76, 55, 29, 65,...

What is the median for the given data and does 43 lie in the lower quartile:

For the month of march the number of cars gievn speeding tickets was as follows: 56, 67, 43, 56, 87, 37, 76, 55, 29, 65, 84, 74, 46, 58, 61, 40, 43, 60, 51, 77, 53, 47, 50, 81, 61, 44, 55, 54, 76, 39, 77

Asked on by longcory52

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

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The number of speeding tickets given on each day of the month of March is: 56, 67, 43, 56, 87, 37, 76, 55, 29, 65, 84, 74, 46, 58, 61, 40, 43, 60, 51, 77, 53, 47, 50, 81, 61

Arranging the data in ascending order: 29    37    40    43    43    46    47    50    51    53    55    56    56    58    60    61    61    65    67    74    76    77    81    84    87

The value 56 divides the data points into two sets. This is the median.

The lower quartile is 47

If the person is caught speeding on a day when 43 tickets were issued it lies in the lower quartile.

The median of the data is 56 and the lower quartile is 47

aliebow's profile pic

aliebow | Student | (Level 1) eNoter

Posted on

After arranging the numbers in ascending order, you could easily pick the median, or middle number.  That would be 56.

Counting the total number of data point, then dividing by 4 gives you thestart of the lower quartile.  25/4=6 with a remainder.  So the lower quartile starts with the sixth number: 46.  So 43 does lie in the lower quartile.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

the median is 56 and yes 43 would lie in the lower quartile

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