The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Group A A dot plot titled Group A. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5. Group B A dot plot titled Group B. A number line going from 0 to 5 labeled Amount in Dollars. There is 1 dot above 0, 3 above 1, 3 above 2, 4 above 3, 1 above 4, and 3 above 5. Which measures are $1 greater for Group B than for Group A? the median and the mode the mean and the range the mean and the median the mode and the range

Below is proved that for the set of data described none measure for group B is $1 greater than for group A.

Explanation:

The information for the two groups may be summarized in this way.

Note that each dot is one student, and that here I use * to represent the dots.

Group A:

$0: __             (0 dots)$1:  *  *  *  *  *   (5 dots)$2: *  *  *  *      (4 dots)$3: *                 (1 dot)$4: __              (0 dots)$5: __              (0 dots)Total number of dots: 5 + 4 + 1 = 10Mode: $1 (the value that is repeated more times, 5 times).Mean: [$1 × 5 + $2 × 4 + $3 × 1 ] / 10 = $11 / 10 = $1.1Median: [the value of the sixth point - value of the fifth point ] / 2 = [$1 + $2] / 2 = 1.5  Range: maximum value - minimum value = $3 - $1 = $2

Group B:

$0: *                (1 dot)$1:  *  *  *         (3 dots)$2: *  *  *         (3 dots)$3: *  *  *  *      (4 dots)$4: *                (1 dots)$5: *  *  *         (3 dots)Total number of dots: 1 + 3 + 3 + 4 + 1 + 3) = 15Mode: $4 (the most repeated value)Mean: [$1 × 3 + $2 × 3 + $3 × 4 + $4 × 1 + $5 × 3 ] / 10 = $40 / 10 = $4Median: the value of the eigth point = $3Range: maximum value - minimum value = $5 - 0 = $ 5

Differences:

Mode

Group A: $1Group B: $4.Hence, difference is $3

Mean:

Group A: $1.1Group B: $4Hence, difference is $ 2.9

Median:

Group A: $1.5Group B: $ 3Hence, difference is $1.5

Range:

Group A: $3Group B: $5Hence, the difference is $5 - $3 = 2