Math, asked by ANUSHKAS6480, 5 hours ago

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 are 0 dots above 0, 3 above 1, 2 above 2, 4 above 3, 0 above 4, and 1 above 5.
Which statements about the measures of center are true? Select three choices.
The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.
The median for Group A is 2.
The median for Group B is 3.

Answers

Answered by sanjey1245
3

Answer:

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

Step-by-step explanation:

Answered by 1072998
0

Answer:

Step-by-step explanation:

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