P.O.D. #1
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Transcript of P.O.D. #1
P.O.D. #1basic advanced
256 ÷ 4 482 ÷ 8= 64 = 60.25
Interpreting Measures of Center
Mean• The sum of the data divided by the number of items in the
data set.• Usually thought of as the average.
Example: Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.
Mean = (85 + 67 + 92 + 50 + 100 + 92) 6
= 486 6= 81
Median• The value appearing at the center of a sorted list.• Numbers must be written in order from least to greatest.• If the set has two numbers in the middle, you add the 2
numbers and divide by two to find the median.
Example: Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.
50, 67, 85, 92, 92, 100.
Median = 85 + 92 2
= 177 2
= 88.5
Mode• The value that occurs most often.• A data set can have no mode, one mode, or more than
one mode.
50, 67, 85, 92, 92, 100.
Mode = 92
Example: Julie’s score on the math tests this year are 85, 67, 92, 50, 100, and 92.
Whiteboard:
Find the mean of the following set: 6 , 2 , 3 , 8 , 9 , 7 , 8 , 4 , 7
(6 + 2 + 3 + 8 + 9 + 7 + 8 + 4 + 7)9
= 54 9
= 6
Whiteboard:
Find the median of the following set:5 , 3 , 7 , 8 , 7 , 6
3, 5, 6, 7, 7, 8
Median = 6 + 7 2= 13 2
= 6.5
Whiteboard:
Find the mode of the following set:3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11
3, 3, 3, 4, 4, 7, 7, 7, 9, 9, 11
Mode = 3 and 7
Month Days over 70°
March 12April 6May 8June 13July 14
August 3September 14
Whiteboard:
A weather station created this table to show the number of days over 70°.
Find the mean number of days above 70°.
(12 + 6 + 8 + 13 + 14 + 3 + 14)7
= 70 7
= 10
Month Days over 70°
March 12April 6May 8June 13July 14
August 3September 14
Whiteboard:
A weather station created this table to show the number of days over 70°.
Find the median number of days above 70°.
Median = 12
3, 6, 8, 12, 13, 14, 14
Month Days over 70°
March 12April 6May 8June 13July 14
August 3September 14
Whiteboard:
A weather station created this table to show the number of days over 70°.
Find the mode.
Mode = 14
3, 6, 8, 12, 13, 14, 14
Month Days over 70°
March 12April 6May 8June 13July 14
August 3September 14
Whiteboard:
A weather station created this table to show the number of days over 70°.
If you were trying to convince a friend that it was an especially warm summer, which measure of center would you use?
Mean = 10
Median = 12
Mode = 14
P.O.D. #2basic advanced
Mrs. Sprinkles class received the following scores on their last quiz:12, 18, 14, 19, 20, 19Find the mean, median, and mode of the scores.
Mean- 17Median- 18.5Mode- 19
Mrs. Sprinkles class received the following scores on their last quiz:12, 18, 14, 19, 20, 19
What score would the next student need to receive to make the mean score 18?
102 + x 7 = 18
X = 24
Range is the difference between the largest and the smallest value in a set of data.
13, 18, 13, 14, 13, 16, 14, 21, 13
The largest value in the list is 21, and the smallest is 13, so the range is
21 – 13 = 8.
Whiteboard:
Find the range of the following set:3 , 9 , 3 , 7, 4 , 9 , 3 , 7 , 4, 7, 11
11 − 3 = 8
Month Days over 70°
March 12April 6May 8June 13July 14
August 3September 14
Whiteboard:
A weather station created this table to show the number of days over 70°.
Find the range of the data.
14 − 3 = 11
Measures of CenterFortune Teller
Outside Corners: include brief definition•mean•median•mode•range
Inside: 8 sets of data (5 or 6 numbers each)
Inner Flap- answer key for each set of data•mean•median•mode•range
P.O.D. #basic advanced
3260 ÷ 5 7404.8 ÷ 8 = 652 = 925.6