Study Statistics revision pack on Statistics for A-Level. Useful for revision, homework, and exam preparation in Zimbabwe.
A free account is needed to download. Sign in or create one
This is the A-Level Statistics revision pack from 2022. It is a free revision pack for revision. Time allowed: 1 hour 30 minutes.
A' LEVEL
STATISTICS
2022 FINAL REVISION TEST 1
TIME: 1 hour 30 minutes
() marks
Answer all questions.
[If a numerical answer cannot be given exactly, and the accuracy required is not specified in the question, then in the case of an angle it should be given correct to the nearest degree, and in other cases it should be given to 2 significant figures.]
schingwingwi7@gmail.com / +263784089807
Sharewell B. C
1. A sample of 36 data values, $x$, gave $\sum(x-45)=-148$ and $\sum(x-45)^{2}=3089$.
i) Find the mean and standard deviation of the 36 values.
[3]
ii) One extra data value was added to the sample. Find the standard deviation of all 37 values.
[4]
2. The amounts of money, $x$ dollars, that 24 people had in their pockets are summarized by $\sum(x-36)=-60$ and $\sum(x-36)^{2}=227.76$. Find $\sum x$ and $\sum x^{2}$.
[6]
3. Prices in dollars of 11 caravans in show room are as follows.
160018500177001430015500153001610016800173001540016400
a) Represent these prices by a stem-and-leaf diagram.
[4]
b) Find the median and the quartiles for this distribution.
[6]
c) Draw a box plot to represent these data.
[4]
d) Give one advantage of using
i) a stem and leaf diagram
ii) a box plot,
to illustrate data such as that given above.
[2]
@2022 [SHARE] +263784089807
1