Answer the questions below.
(a) The 9 members of a fraternity have the following test scores:
66,
119,
120,
121,
123,
126,
127,
129,
130
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(b) Ahmad has recorded his golf score for each round he's played this year.
Which measure gives the score he shot the most often?
Mean
Median
Mode
(c) A bakery sells 10 types of sandwiches. Here are their calorie amounts:
566,
573,
579,
581,
582,
599,
608,
622,
626,
634
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(a) The measure that should be used to summarize the data for the test scores of the fraternity members is the median.
(b) The measure that gives the score Ahmad shot the most often is the mode.
(c) The measure that should be used to summarize the data for the calorie amounts of the sandwiches is the mean.
Answer the questions below.
(a) Each member of the football team was asked to report the year he was born.
Which measure gives the most common year of birth?
Mean
Median
Mode
(b) At a certain company, the 9 employees have the following weekly salaries:
$820,
$840,
$850,
$860,
$870,
$900,
$930,
$970,
$2050
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(c) The last 10 calls to a customer support line had the following lengths (in minutes):
22,
23,
24,
25,
26,
27,
28,
29,
30,
31
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(a) The measure that gives the most common year of birth for the football team members is the mode.
(b) The measure that should be used to summarize the data for the weekly salaries of the employees is the median.
(c) The measure that should be used to summarize the data for the lengths of the calls to the customer support line is the mean.
Answer the questions below.
(a) The 9 members of the swim team completed the following numbers of laps at today's practice:
76,
79,
82,
83,
85,
86,
87,
89,
91
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(b) Mai wants to determine which letter appears the most often in her favorite poem.
Which measure should she use?
Mean
Median
Mode
(c) In a survey, 9 people gave the following ratings for a local politician (on a scale of 0 to 100):
14,
41,
42,
45,
46,
47,
53,
54,
55
.
Which measure should be used to summarize the data?
Mean
Median
Mode
(a) The measure that should be used to summarize the data for the number of laps completed by the swim team members is the mean.
(b) To determine which letter appears the most often in her favorite poem, Mai should use the mode.
(c) The measure that should be used to summarize the data for the ratings given to the local politician is the median.
(a) The measure that should be used to summarize the data is the median.
(b) The measure that gives the score Ahmad shot the most often is the mode.
(c) The measure that should be used to summarize the data is the mean.
(a) To summarize the test scores of the fraternity members, we need to determine which measure of central tendency is appropriate. The mean is calculated by adding up all the test scores and dividing the total by the number of scores. The median is the middle value when the scores are arranged in ascending order. The mode is the value(s) that occur(s) most frequently in the data set.
To find the mean, add up all the test scores (66 + 119 + 120 + 121 + 123 + 126 + 127 + 129 + 130) and divide the total by the number of scores, which is 9. The mean is 118.22.
To find the median, arrange the test scores in ascending order: 66, 119, 120, 121, 123, 126, 127, 129, 130. Since there are an odd number of scores, the median is the middle score, which is 123.
To find the mode, identify the value(s) that occur(s) most frequently. In this case, there is no mode since each score appears only once.
Therefore, the measure that should be used to summarize the data of the test scores is the median.
(b) To determine which measure gives the golf score Ahmad shot the most often, we need to consider the mean, median, and mode. The mean is calculated by adding up all the scores and dividing the total by the number of scores. The median is the middle value when the scores are arranged in ascending order. The mode is the value(s) that occur(s) most frequently in the data set.
To find the mean, add up all the golf scores and divide the total by the number of scores.
To find the median, arrange the golf scores in ascending order and determine the middle score.
To find the mode, identify the value(s) that occur(s) most frequently.
Without any specific data given about Ahmad's golf scores, we cannot determine which measure (mean, median, or mode) gives the score he shot most often. It depends on the specific scores recorded throughout the year.
(c) To summarize the calorie amounts of the 10 types of sandwiches sold at the bakery, we need to determine which measure of central tendency is appropriate. The mean is calculated by adding up all the calorie amounts and dividing the total by the number of amounts. The median is the middle value when the amounts are arranged in ascending order. The mode is the value(s) that occur(s) most frequently in the data set.
To find the mean, add up all the calorie amounts and divide the total by the number of amounts.
To find the median, arrange the calorie amounts in ascending order and determine the middle amount.
To find the mode, identify the value(s) that occur(s) most frequently.
Without the specific calorie amounts given for each sandwich, we cannot determine which measure (mean, median, or mode) should be used to summarize the data. It depends on the specific data recorded for the sandwiches' calorie amounts.