Skewness identification and interpretation

A question is this type if and only if it asks to identify the type of skewness from a diagram or to relate skewness to the positions of mean, median, and mode.

5 questions

OCR MEI S1 Q1
1 At a tourist information office the numbers of people seeking information each hour over the course of a 12-hour day are shown below. $$\begin{array} { l l l l l l l l l l l l } 6 & 25 & 38 & 39 & 31 & 18 & 35 & 31 & 33 & 15 & 21 & 28 \end{array}$$
  1. Construct a sorted stem and leaf diagram to represent these data.
  2. State the type of skewness suggested by your stem and leaf diagram.
  3. For these data find the median, the mean and the mode. Comment on the usefulness of the mode in this case.
OCR MEI S1 Q3
3 The stem and leaf diagram illustrates the heights in metres of 25 young oak trees.
3467899
402234689
501358
6245
746
81
Key: 4 |2 represents 4.2
  1. State the type of skewness of the distribution.
  2. Use your calculator to find the mean and standard deviation of these data.
  3. Determine whether there are any outliers.
OCR MEI S1 Q1
1 The stem and leaf diagram illustrates the heights in metres of 25 young oak trees.
3467899
402234689
501358
6245
746
81
Key: 4 |2 represents 4.2
  1. State the type of skewness of the distribution.
  2. Use your calculator to find the mean and standard deviation of these data.
  3. Determine whether there are any outliers.
OCR MEI S1 Q3
3 The stem and leaf diagram shows the weights, rounded to the nearest 10 grams, of 25 female iguanas.
839
935666899
100223469
112478
12345
132
Key: 11 | 2 represents 1120 grams
  1. Find the mode and the median of the data.
  2. Identify the type of skewness of the distribution.
OCR MEI S1 2011 January Q1
1 The stem and leaf diagram shows the weights, rounded to the nearest 10 grams, of 25 female iguanas.
839
935666899
100223469
112478
12345
132
Key: 11 | 2 represents 1120 grams
  1. Find the mode and the median of the data.
  2. Identify the type of skewness of the distribution.