Question

74.) make a frequency table and build a histogram with the data.
23, 23, 24, 26, 26, 28, 28, 32, 33, 33, 33, 34, 41,43, 42, 41

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:

Step1: Analyze data for 74)

First, list the data: 23, 23, 24, 26, 26, 28, 28, 32, 33, 33, 33, 34, 41, 43, 42, 41. Now count frequencies for each range:

• 0 - 9: 0 (no data in this range)
• 10 - 19: 0 (no data)
• 20 - 29: Let's see, 23,23,24,26,26,28,28. That's 7 values.
• 30 - 39: 32,33,33,33,34. That's 5 values.
• 40 - 49: 41,43,42,41. That's 4 values.

Step2: Complete Frequency Table for 74)

So the frequency table becomes:

Range	Frequency
10 - 19	0
20 - 29	7
30 - 39	5
40 - 49	4

Step3: Build Histogram for 74)

The x - axis will have the ranges (0 - 9, 10 - 19, 20 - 29, 30 - 39, 40 - 49) and the y - axis will have frequency. For 0 - 9 and 10 - 19, the bar height is 0. For 20 - 29, bar height is 7; 30 - 39: 5; 40 - 49: 4.

(For the other sub - questions, we can follow similar steps. For example, for 77a, we analyze the camera sales data: 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.

For range 5 - 9: values are 5,9,8. So frequency = 3.

For 10 - 14: 10,12,14,13,14,14,11,12,13. Let's count: 10,12,14,13,14,14,11,12,13. That's 9 values.

For 15 - 19: 15,19,18,16. So 4 values.

For 20 - 24: 21,25,24,23,20,23,20,21. Wait, 21,25? No, 20 - 24: 21,24,23,20,23,20,21. Wait, 25 is in 25 - 29. So 21,24,23,20,23,20,21. Let's count: 21 (1), 24 (1), 23 (2), 20 (2), 21 (1). Total 1 + 1+2 + 2+1=7? Wait, no: 21,25 (no, 25 is 25 - 29), 24 (yes), 23 (yes), 20 (yes), 23 (yes), 20 (yes), 21 (yes). Wait, the data points in 20 - 24: 21,24,23,20,23,20,21. Wait, 21,24,23,20,23,20,21. That's 7? Wait, no, let's list all data:

Data: 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.

Now, 20 - 24: 21,24,23,20,23,20,21. Wait, 21 (from 21), 24 (from 24), 23 (23), 20 (20), 23 (23), 20 (20), 21 (21). Also, is there another 21? Yes, the 21 later. Wait, the data has 21,21,21. Wait, let's count again:

20: two times (20,20)

21: three times (21,21,21)

23: two times (23,23)

24: one time (24)

So total: 2 + 3+2 + 1=8? Wait, maybe I made a mistake earlier. Let's count the number of data points in 20 - 24:

20,20,21,21,21,23,23,24. That's 8 values.

For 25 - 29: 25,26,26,26,27,26. Let's count: 25,26,26,26,27,26. That's 6 values (25,26,26,26,27,26). Wait, 25,26 (from 26), 26 (another), 26 (another), 27, 26 (another). So 1 (25) + 4 (26s) + 1 (27) = 6.

So the frequency table for 77a is:

No. of Camera sold	Frequency
10 - 14	9
15 - 19	4
20 - 24	8
25 - 29	6

Then for 77b, we look at the frequency table and find the range with the highest frequency, which is 10 - 14 with frequency 9.)

Answer:

(for 74) Frequency Table):

Range	Frequency
10 - 19	0
20 - 29	7
30 - 39	5
40 - 49	4

(Histogram: Bars for 0 - 9 and 10 - 19 have height 0, 20 - 29 has height 7, 30 - 39 has height 5, 40 - 49 has height 4. For other sub - questions, answers can be derived similarly as per the steps above.)