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

Respuesta :

Answer:

  • 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 = 10

  • Mode: $1 (the value that is repeated more times, 5 times).

  • Mean: [$1 × 5 + $2 × 4 + $3 × 1 ] / 10 = $11 / 10 = $1.1

  • Median: [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) = 15

  • Mode: $4 (the most repeated value)

  • Mean: [$1 × 3 + $2 × 3 + $3 × 4 + $4 × 1 + $5 × 3 ] / 10 = $40 / 10 = $4

  • Median: the value of the eigth point = $3

  • Range: maximum value - minimum value = $5 - 0 = $ 5

Differences:

Mode

  • Group A: $1
  • Group B: $4.

  • Hence, difference is $3

Mean:

  • Group A: $1.1
  • Group B: $4

  • Hence, difference is $ 2.9

Median:

  • Group A: $1.5
  • Group B: $ 3

  • Hence, difference is $1.5

Range:

  • Group A: $3
  • Group B: $5

  • Hence, the difference is $5 - $3 = 2

Answer:

basically if i narrow that question down i get that its C.

Step-by-step explanation: