Question

Be my Valentine: The following frequency distribution presents the amounts, in dollars, spent for Valentine's Day gifts in a survey of 120 U.S. adults in a recent year. Approximate the mean amount spent on Valentine's Day gifts to two decimal places.Amount Frequency0-19.99 16 20.00-39.99 1340.00-59.99 21 60.00-79.99 19 80.00-99.99 12 100.00-119.99 10 120.00-139.99 7140.00-159.99 8160.00-179.99 7180,00-199.99 1200.00-219.99 3220.00-239.99 2240.00-259.99 1

Answer 1

Answer:

the mean is 82.75

Step-by-step explanation:

Amount                   Frequency             Mid Point           fx

0-19.99                             16                    9.995            159.92  

20.00-39.99                    13                   29.995          389.935

40.00-59.99                     21                    49.995        1049.895

60.00-79.99                      19                   69.995         1329.905

80.00-99.99                       12                89.995           1079.94

100.00-119.99                     10                109.995          1099.95

120.00-139.99                     7                 129.995              909.965

140.00-159.99                      8                  149.995            1199.96

160.00-179.99                       7                  169.995          1189.965

180,00-199.99                      1                    189.995         189.995

200.00-219.99                    3                    209.995        629. 985

220.00-239.99                    2                   229.995         459.99

240.00-259.99                    1                   249.995         240.995

∑                                         120                                           9930.4

Mean = ∑fx/∑x

Mean = 9930.4/120=82.7533 = 82.75

Answer 2

Answer: The mean amount spent on Valentine's day is;

$82.83

Step-by-step explanation: To find the mean amount we first arrange the numbers in a frequency table, then solve.

STEP1:

AMOUNT FREQUENCY

0-19.99 16

20.00-39.99 13

40.00-59.99 21

60.00-79.99 19

80.00-99.99 12

100.00-119.99 10

120.00-139.99 7

140.00-159.99 8

160.00-179.99 7

180,00-199.99 1

200.00-219.99 3

220.00-239.99 2

240.00-259.99 1

STEP 2: Find the center of each amount, to do this we have to find the average value of the amounts.

For the first amount is;

(0+19.99)/2 = 9.995

For the second amount is;

(20+39.99)/2 =29.995

Solving this for all the amount. Therefore the table comes

AMOUNT FREQUENCY

9.995 16

29.995 13

49.995 21

69.995 19

89.995 12

109.995 10

129.995 7

149.995 8

169.995 7

189.995 1

209.995 3

229.995 2

249.995 1

STEP 3: multiple each amount in step 2 with the frequency.

For the first amount;

9.995×16 = 159.92

For the second amount;

29.995×13= 389.935

For the third amount;

49.995×21= 1049.895

For the fourth amount;

69.99×19= 1329.81

For the fifth amount;

89.995×12=1079.94

For the six amount;

109.995×10= 1099.95

For the sixth amount;

129.995×7= 909.965

For the seventh amount;

149.995×8= 1199.96

For the eight amount;

169.995×7= 1189.965

For the ninth amount;

189.995×1= 189.995

For the tenth amount;

209.995×3= 629.985

For the eleventh amount;

229.995×2=459.99

For the twelveth amount;

249.995×1= 249.995

STEP 4: Sum up all the answers from the multiplication in step 3

Therefore;

159.92+389.935+1049.895+1329.81+1079.94+1099.95+909.965+1199.96+1189.965+189.995+629.985+459.99+629.985+459.99+249.995 = 9939.995

STEP 5: divide the sum of the value seen in step 4 with the total number of frequency to get the mean value.

The total number of frequency is 120

Therefore;

9939.305÷120=82.827541

Take the value to two decimal place, it becomes;

$82.83 this is the mean value of money spent on Valentine's day.