# Statistics: MEAN, STANDARD DEVIATION, MEASURE OF CENTRAL TENDENCY

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### Improve Competence with MyMathsHero

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. … If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

In this topic, we cover the following: The mean, median and mode, comparison of mean, median and mode, rates and mixtures, presentation of grouped data, cumulative frequency, standard deviation of discrete data, mean deviation, standard deviation of grouped data. At the end of this topic, students should understand the following among other things:

• Calculate and interpret the mean, median, mode of ungrouped data and the mean deviation of a set of discrete data,
• Apply the calculation of means to average rates and mixtures,
• Recall previous knowledge to present and interpret grouped data in frequency tables, class intervals, histograms and frequency polygons,
• Apply previous knowledge to what is learn here to calculate, illustrate and interpret the mean, median, mode of grouped data and standard deviation of a set of discrete data,
• Construct and draw cumulative frequency tables curves and use them to deduce quantities and medians,
• Interpret the variation or spread of a data set in terms of its standard deviation,
• Select and use a working mean to simply calculation and calculate the variance of a given data set,
• Calculate the standard deviation of a set of grouped data.
1
SS 3-STATISTICS-MEAN AND STANDARD DEVIATION-LESSON 1A
36 Minutes
2
SS 3-STATISTICS-MEAN AND STANDARD DEVIATION-LESSON 1B
11 Minutes
3
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 2A
26 Minutes
4
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 2B
17 Minutes
5
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 3A
22 Minutes
6
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 3B
27 Minutes
7
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 4A
32 Minutes
8
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 4B
15 Minutes
9
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 5A
24 Minutes
10
SS 3-STATISTICS MEAN AND STANDARD DEVIATION-LESSON 5B
21 Minutes

### REVISION LESSON-SOLVED EXAM QUESTIONS (OBJ)

1
STATISTICS (MEANS & STANDARD DEVIATION) 1
2 Minutes
2
STATISTICS (MEANS & STANDARD DEVIATION) 2
1 Minute
3
STATISTICS (MEANS & STANDARD DEVIATION) 3
1 Minute
4
STATISTICS (MEANS & STANDARD DEVIATION) 4
3 Minutes
5
STATISTICS (MEANS & STANDARD DEVIATION) 5
6
STATISTICS (MEANS & STANDARD DEVIATION) 6
1 Minute
7
STATISTICS (MEANS & STANDARD DEVIATION) 7
2 Minutes
8
STATISTICS (MEANS & STANDARD DEVIATION) 8
3 Minutes
9
STATISTICS (MEANS & STANDARD DEVIATION) 9
2 Minutes
10
STATISTICS (MEANS & STANDARD DEVIATION) 10
2 Minutes
11
STATISTICS (MEANS & STANDARD DEVIATION) 11
1 Minute
12
STATISTICS (MEANS & STANDARD DEVIATION) 12
2 Minutes
13
STATISTICS (MEANS & STANDARD DEVIATION) 13
2 Minutes
14
STATISTICS (MEANS & STANDARD DEVIATION) 14
6 Minutes
15
STATISTICS (MEANS & STANDARD DEVIATION) 15
3 Minutes
16
STATISTICS (MEANS & STANDARD DEVIATION) 16
1 Minutes
17
STATISTICS (MEANS & STANDARD DEVIATION) 17
3 Minutes
18
STATISTICS (MEANS & STANDARD DEVIATION) 18
4 Minutes
19
STATISTICS (MEANS & STANDARD DEVIATION) 19
20
STATISTICS (MEANS & STANDARD DEVIATION) 20
1 Minute
21
STATISTICS (MEANS & STANDARD DEVIATION) 21
2 Minutes
22
STATISTICS (MEANS & STANDARD DEVIATION) 22
2 Minutes
23
STATISTICS (MEANS & STANDARD DEVIATION) 23
3 Minutes
24
STATISTICS (MEANS & STANDARD DEVIATION) 24
3 Minutes
25
STATISTICS (MEANS & STANDARD DEVIATION) 25
2 Minutes
26
STATISTICS (MEANS & STANDARD DEVIATION) 26
1 Minute
27
STATISTICS (MEANS & STANDARD DEVIATION) 27
2 Minutes
28
STATISTICS (MEANS & STANDARD DEVIATION) 28
2 Minutes
29
STATISTICS (MEANS & STANDARD DEVIATION) 29
1 Minute
30
STATISTICS (MEANS & STANDARD DEVIATION) 30
1 Minutes

### REVISION LESSON-SOLVED EXAM QUESTIONS (THEORY)

1
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 226)
9 Minutes
2
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 227)
5 Minutes
3
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 228)
7 Minutes
4
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 229)
8 Minutes
5
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 230)
2 Minutes
6
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 231)
2 Minutes
7
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 232)
3 Minutes
8
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 233)
3 Minutes
9
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 234)
6 Minutes
10
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 235)
3 Minutes
11
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 236)
4 Minutes
12
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 237)
6 Minutes
13
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 238)
8 Minutes
14
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 239)
5 Minutes
15
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 241)
1 Minute
16
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 242)
1 Minute
17
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 243)
2 Minutes
18
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 244)
1 Minute
19
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 245)
2 Minutes
20
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 246)
2 Minutes
21
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 247)
2 Minutes
22
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 248)
1 Minute
23
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 249)
1 Minute
24
Topic 14- STATISTICS- (MEAN, STANDARD DEVIATION & DATA PRESENTATION)-(Theory Question 250)
1 Minute