Question

interpreting data
75.) this dot plot shows the number of goals scored by a school soccer team.
for each of the following statements state whether they are true, false or unknown.
a) the team scored at least one goal in every match.
b) the range of goals scored was 6.
c) the soccer team won most of their games.
d) in most of their matches, the team scored less than 3 goals.
e) the median number of goals scored per game was 2.
f) the mean score was 3 goals per match.
76.) a company distributes cellphones to retailers. the data for the number of smartphones distributed in a year are shown below:
a) what is the median amount of smartphones distributed?
b) what is the least number of smartphones distributed?
c) what percentage of distributions was more than 37 cellphones?
77.) john is a shop keeper. he sold cameras over a month and wrote the sale of total number of camera he sold each day. the results are shown as below:
10, 12, 15, 14, 25, 5, 26, 21, 13, 14, 19, 9, 18, 14, 16, 24, 26, 21, 23, 20, 23, 20, 11, 8, 21, 26, 27, 12, 26, 13
a.) complete the frequency table and draw the histogram with given interval.
b.) what is the most common range of cameras sold?

Explanation:

75. a)

Step1: Check dot plot for 0 goals

Look at the dot plot: there's a dot at 0 (number of goals). So the team had a match with 0 goals.

Step2: Evaluate the statement

The statement says "at least one goal in every match", but there's a match with 0. So the statement is false.

Step1: Find max and min goals

Max goals: 6 (dot at 6), Min goals: 0 (dot at 0).

Step2: Calculate range

Range = max - min = \( 6 - 0 = 6 \). So the statement is true.

Step1: Analyze "won most games"

The dot plot shows goals scored, not win/loss. No info on wins. So we can't tell.

Answer:

False

75. b)